Periodic Excitation Research Articles

Survival probability determination of nonlinear oscillators subject to combined deterministic periodic and non-stationary stochastic loads

This paper presents a technique based on Wiener path integrals (WPI) for computing the survival probability of nonlinear oscillators under combined nonstationary stochastic and periodic excitation. Specifically, the equation of motion is equivalently decomposed into a correlated combination of a nonlinear stochastic differential equation (SDE) and a nonlinear deterministic differential equation. The nonstationary response probability density function (PDF) of the stochastic component is obtained using the Wiener path integral concept in conjunction with stochastic averaging/linearization. The approach involves utilizing stochastic averaging/linearization techniques to transform the nonlinear SDE into a linear one with varying equivalent stiffness and damping. Afterwards, using the WPI method and the concept of the most probable path, a closed-form approximate analytical expression of the joint transition probability density function (PDF) is obtained for small intervals corresponding to the equivalent linear SDE. Additionally, the survival probability of the original nonlinear oscillator subject to combined excitation with fixed barriers can be approximated equivalently by using the survival probability with time-varying barriers of the equivalent linear system with time-varying stiffness and damping subject only to the nonstationary stochastic excitation. Finally, by using the analytical expression of the transition PDF of the equivalent linear system and a discrete version of the Chapman–Kolmogorov (C–K) equation, it is possible to determine the response and survival probability of the original oscillator under combined excitation step by step. Examples involving a Duffing oscillator and a vibro-impact oscillator are analyzed to showcase the precision and efficacy of the suggested technique in contrast to relevant Monte Carlo simulations.

Independent continuous periodic firing series to chaos in the 3-D Hindmarsh–Rose neuron circuit

In order to study the intricate dynamics of the 3-D Hindmarsh–Rose (HR) model under periodic excitation, a semi-analytical method is proposed. This semi-analytical method shows an implicit mapping relationship by discretizing corresponding continuous nonlinear systems. Subsequently, a new phenomenon of independent continuous periodic firing series is discovered for the first time. We prove that saddle–node, periodic-doubling, and Neimark bifurcations occur when the excitation frequency varies to an appropriate value in this system. The generation of saddle–node bifurcation will lead to the change of limit cycles for periodic motion. The number of limit cycles of periodic motions in phase space increases continuously with excitation frequency increasing. Furthermore, the corresponding circuit is implemented to simulate the periodic stimulus effects, which are confirmed precisely by phase planes and harmonic spectrums. The study provides a better understanding for exploring the mechanism of how neurons code information or how they react to complex excitation and serve as guidelines for the analysis and design of biological circuits.

Sex-Specific Reliability of Lower-Limb Corticospinal Excitability and Silent Periods.

Pagan, JI, Harmon, KK, Girts, RM, MacLennan, RJ, Beausejour, JP, Hernandez-Sarabia, JA, Coker, NA, Carr, JC, Ye, X, DeFreitas, JM, and Stock, MS. Sex-specific reliability of lower-limb corticospinal excitability and silent periods. J Strength Cond Res 37(9): 1882-1887, 2023-Transcranial magnetic stimulation (TMS) is a research tool that has potential to provide new insights into strength training-induced adaptations. However, using TMS to study the lower limbs is challenging, and sex-specific reliability has yet to be reported. We examined the reliability of corticospinal excitability and silent periods for the rectus femoris, vastus lateralis, and biceps femoris in both sexes. Thirteen males and 14 females reported to the laboratory twice. During both trials, a double cone coil was used to deliver 20 pulses to the rectus femoris hotspot with a stimulator output of 130% of active motor threshold. Motor-evoked potential peak-to-peak amplitude, which reflects corticospinal excitability, and silent period duration were quantified. Our results offer 4 novel findings. First, corticospinal excitability and silent period demonstrated higher reliability for the females. Second, regardless of sex and muscle, the silent period was more reliable than corticospinal excitability. Third, reliability was highest for our target muscle (rectus femoris), with lower reliability for the vastus lateralis and biceps femoris, suggesting that these methods cannot be used to study coactivation. Fourth, active motor threshold showed less variability than corticospinal excitability and silent period but increased at trial 2 in females. Many of the intraclass correlation coefficients were excellent (≥0.90), although we attribute this finding to variability between subjects. Reliability of lower-limb TMS measures may be sex, muscle, and variable dependent. Our findings suggest that both males and females should be included in lower-limb TMS research, although combining data between sexes should be approached cautiously.

Impact of external excitations on blinking enhanced synchronization in bistable vibrational energy harvesters.

Vibrational energy harvesters are capable of converting low-frequency broad-band mechanical energy into electrical power and can be used in implantable medical devices and wireless sensors. With the use of such energy harvesters, it is feasible to generate continuous power that is more reliable and cost-effective. According to previous findings, the energy harvester can offer rich complex dynamics, one of which is obtaining the synchronization behavior, which is intriguing to achieve desirable power from energy harvesters. Therefore, we consider bistable energy harvesters with periodic and quasiperiodic excitations to investigate synchronization. Specifically, we introduce blinking into the coupling function to check whether it improves the synchronization. Interestingly, we discover that raising the normalized proportion of blinking can initiate synchronization behaviors even with lower optimal coupling strength than the absence of blinking in the coupling (i.e., continuous coupling). The existence of synchronization behaviors is confirmed by finding the largest Lyapunov exponents. In addition, the results show that the optimal coupling strength needed to achieve synchronization for quasiperiodic excitations is smaller than that for periodic excitations.

Experimental study of the thermal probing depth of a skin calorimeter

In this work we perform an experimental study of the thermal probing depth of a skin calorimeter developed to measure in vivo the heat capacity and the thermal resistance of a 4 cm2 skin region. To determine these properties, a small thermal excitation is applied to the skin and then, the static and dynamic response of the calorimetric signal is studied. This excitation consists of a periodic change of the calorimeter thermostat temperature while the device is applied on the skin. We have found that the thermal penetration depth depends mainly on the period of this periodic thermal excitation. This time dependence is exponential for non-semi-infinite domains. Using a time–variant model, we performed measurements on the dorsal and volar areas of the left wrist of a healthy 64-year-old male subject. For a 4 cm2 region of skin, the results show that the heat capacity in both zones are of the same order of magnitude. Its initial value is 4 J/K and increases exponentially up to 7 J/K with a time constant of 6.5 min. Thermal resistance also increases exponentially with time: from 27 to 36 K/W for the volar zone, and from 32 to 45 K/W for the dorsal zone.

Marching bifurcations

This paper dedicated to my late mum and dad (Ludwika and Karol Wiercigroch), presents a light-hearted account of important events in my academic career, which have influenced my development and contributed to my achievements. It meant to be published on the occasion of my round birthday, which celebration was delayed by COVID-19 pandemic and some other factors. Predominantly, it is based on a booklet I wrote in 2013 on the occasion of bestowing on me a title a doctor honoris causa by the Technical University of Lodz (LUT) of my native Poland. The main focus of this piece is the friendship and interactions with my academic colleagues around the world and in particular with Professor Tomasz Kapitaniak of the LUT. In mathematics, a bifurcation is a qualitative change in a solution, wherein a march is not only a synonym of a periodic excitation but also the passing time. In this context, a bifurcation being a qualitative change has a major influence on the global solution. This definition resonates well a much wider context and this paper attempts to provide some examples.

PO-01-101 INDUCIBILITY AND MAINTENANCE OF PEDIATRIC & ADULT CONGENITAL ARRHYTHMIAS USING A MODIFIED INHALATIONAL ANESTHETIC STRATEGY

Controversy exists regarding the most appropriate anesthetic strategy to maximize the possibility of arrhythmia induction/maintenance in those individuals requiring general anesthesia for the ablation of arrhythmia substrates. The anesthetic regimen used at our facility consists of a light combined inhalational (sevoflurane) and intravenous (midazolam/fentanyl) general anesthesia (GA), hypercarbia, normothermia (37.0 C), and mostly spontaneous breathing. We investigated the rate of arrhythmia inducibility with this anesthesia strategy. To study the rate of inducibility and maintainence of arrhythmias with the anesthetic regimen used at our facility. A single center retrospective study was performed. Data from subjects 2-44 years undergoing elective electrophysiology study (EPS) for evaluation of supraventricular tachycardia, ectopic atrial tachycardia, premature ventricular contractions (PVC)/ventricular tachycardia (VT) or WPW (Wolff-Parkinson-White) from 2020 to 2022 were included. The primary outcome was positive EPS, defined as successful induction of clinical tachyarrhythmias. 134 subjects were evaluated: 57% male; mean age 14.5+/-6.3 years, 10% adult (age above 18 years). EPS conducted for documented arrythmia of SVT 46%, atrial tachycardia 4%, atrial flutter 7%, PVC 3%, VT 5%, A fib 1%, and WPW 32%. A positive EPS occurred in 74% of cases overall. Arrhythmia was induced in 85% of adult subjects versus 73% of children (p=0.37), and in 70% male versus 79% of female subjects (p=0.23). When arrhythmias were documented, they were inducible in 94.4% of cases; when there was no antecedent history of arrhythmias (such as asymptomatic WPW), they were still induced 36.9% (p<0.001). Overall, a positive EPS occurred in 52% of WPW cases. PVCs and VT remained present after anesthesia (or were inducible by pharmacologic/pacing maneuvers) in 100% of cases. Selected assessment of refractory periods during post-ablation protocols suggests that hypercarbia may be one of the key components of the strategy, with a lowering of AV nodal refractory periods of as much as 40 msec. Our data suggests that an inhalational anesthetic strategy is extremely effective at maintaining arrhythmia inducibility when combined with other strategies that preserve cardiac excitability and refractory periods. Additionally, this strategy may be more effective for the induction and maintenance of arrhythmias in PVC/VT cases.

An enhanced direct instantaneous torque control of switched reluctance motor drives using ant colony optimization

The highly nonlinear characteristics of switched reluctance motors (SRMs) are the drawback that complicates their control and modeling. Hence, obtaining the best performance becomes a challenging task. Therefore, this paper presents an upgraded methodology of the ant colony optimization (ACO) technique. The proposed multistage ant colony optimization (MSACO) enhances the search capability of the classical ACO. Therefore, it helps to find the best switching angles without violating pre-specified constraints. The optimized angles are used to implement an improved high-performance direct instantaneous torque control (DITC) drive. This work focuses on reducing torque ripple, improving motor efficiency, and preventing generating a considerable amount of negative torque. Moreover, a current detector is used to provide information about negative torque production and thus helps to find optimal angles and avoid the set of solutions that give a considerable amount of negative torque. Furthermore, a new switching strategy is utilized to implement an efficient hysteresis torque controller, where the selection of the switching mode of the power converter is entirely determined based on the inductance profile of the SRM. The utilized switching strategy guarantees accurate torque tracking over the entire phase excitation period; thus, the machine's torque profile is improved further. The simulation results showed the superiority of the proposed control method over the traditional control method. In addition, the experimental measurements have been carried out to verify the simulation findings using a three-phase 750 W, 12/8 SRM prototype.

Capacitive Linear Displacement Sensors With High Accuracy and Long Range Absolute Positioning Capability Based on a Splicing Technique

Considerable progress has been made in the development of absolute capacitive linear displacement sensors based on time grating that are capable of providing highly accurate absolute position measurements in conjunction with easy fabrication using standard printed circuit board (PCB) technology. The working range of currently available sensor designs has, however, been rather limited. The present work addresses this issue by greatly expanding the measurement range via a technique for splicing multiple identical stationary rulers with individual measurement lengths of 600 mm. Here, absolute positioning is realized in a manner similar to that of Vernier calipers using stationary segments composed of periodic rectangular excitation electrodes with orthogonal excitation signals and a moving component composed of sinusoidal-shaped induction electrodes. The sensor wiring is greatly simplified by transferring the induction signals output by the moving ruler to the stationary rulers via special transmitting and receiving electrodes. Splicing errors are eliminated by applying two sets of induction electrodes, including a front sensing unit (FSU) and a rear sensing unit (RSU) along the measurement direction on the moving ruler. The performance of the proposed design is evaluated experimentally using a two-segment prototype sensor fabricated by PCB technology. The results demonstrate that interference between the FSU and RSU generates a first harmonic error. This is then addressed by increasing the distance between the FSU and RSU, and enhancing the shielding layer between the two units. This yields a measurement accuracy of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\pm 3.5~\mu \text{m}$ </tex-math></inline-formula> over the full 988 mm measurement range of the sensor.

Fabrication of Au/AAO/Au nanopore arrays based on induced excitation SPPs for the fabrication of nanopores on silicon surfaces

In this paper, a new method for preparing a nanohole surface based on surface plasmon polaritons (SPPs) is proposed. In the proposed method, a layer of gold film is sputtered onto the upper and lower surfaces of porous anodic aluminum oxide (AAO) by ion sputtering to obtain the composite structure of Au/AAO/Au (Metal-Media-Metal, MIM) periodic hole array. The periodic plasma excitation conditions and coupling of the nanohole array are deduced using Maxwell's equations to obtain the locally enhanced surface plasma wave. Afterward, the composite structure is irradiated with a nanosecond laser with a working wavelength of 532 nm to excite the surface plasmon. Simulation results show that Au/AAO/Au (MIM) can excite the surface plasmon under laser induction, and the preparation of nanoholes is realized through experiments. The nanohole array produced by surface plasmon can be used to increase the specific surface area. For some biosensors with special properties, such as microcantilever, enzyme, and other biosensors, a large surface area is required without changing their chemical stability and mechanical strength to increase the detection sensitivity.

Air leakage detection in building façades by combining lock-in thermography with blower excitation

Air leakage in building envelopes is responsible for a large portion of the building’s heating and cooling requirements. Therefore, fast and reliable detection of leaks is crucial for improving energy efficiency. This paper presents a new approach to determining air leakages in a building’s envelope from the outside, combining lock-in thermography and thermal excitation by a blower door system. The blower creates a periodic overpressure within the building, inducing periodic temperature variations of the surfaces near the leaks on the outside surface, the façade. With the temperature variations excited at a known frequency, Fourier transforms of the time-series of the thermal images at the excitation frequency result in amplitude and phase images highlighting the areas affected by leaks. Periodic excitation and detection by an IR camera is known as lock-in thermography and is widely used to characterise semiconductor devices and in non-destructive testing. Excitation is usually achieved by optical, electrical, or mechanical energy input. For this work, measurements of outside façades have been performed with three excitation cycles of a period of 40 s at a 75 Pa pressure difference, leading to a total measurement time of only 2 min. Measurements have been performed with air temperature differences of 5 to 7 K at highly variable conditions of irradiance, wind, and cloud cover. The measurements show higher detection quality and less impact from changing ambient conditions than the state-of-the-art differential infrared thermography measurements. With the method highlighting the variations in the amplitude image only at the excitation frequency, variations caused by environmental effects are filtered out. A temperature difference as low as a few Kelvin is therefore sufficient, and large façades can be examined from the outside. This amplitude image is already clearer than an image created with differential thermography. A further reduction of unwanted artefacts in the image is demonstrated using phase-weighing of the amplitude by scalar product.

An Adaptive Temperature Observer for Electrothermal Analysis of IGBT Based on Temperature Characteristics

Most of the existing methods for electrothermal analysis of the aging insulated gate bipolar transistor (IGBT) modules have limitations on performing synchronous recognition and decoupling of two typical aging models, and failed to be low-invasive and real-time. To address this, two characteristic functions are developed in this article. The characteristic functions are derived from the temperature response under periodic power loss excitation and can be extracted in real-time and low-invasively from the negative temperature coefficient (NTC) thermistor sensor integrated into the IGBT module. Then, a temperature observer based on the 3-D state-space model of the IGBT module is designed, which is based on the feedback from the characteristic functions, to achieve the target of online electrothermal analysis for the IGBT module even with the significant deterioration of the IGBT module. Finally, the performance of the proposed method is thoroughly investigated by extensive experimental tests.

Out-of-round railway wheels and polygonisation

Out-of-roundness in railway wheels, in particular polygonal wear resulting in regular, multi-lobed, out-of-round wheels, has become a significant problem in recent years. It is of concern to railway operators due to the increased noise and vibration it can cause. This polygonisation is caused by cyclic wear but the exact mechanism leading to this type of wear is not fully understood. It appears to be the result of dynamic linking between a resonance or other periodic excitation in the coupled vehicle–track system and the existing wear at the wheel. This paper reviews the developing body of research being carried out in many countries by research groups, manufacturers and operators. Some examples of polygonisation on different types of railway vehicles are reported including feight trains, urban transit trains and high-speed trains. The main theories for the formation mechanisms are presented and the current measurement methods, computer simulation techniques and the effects and potential mitigation methods are reviewed. In parallel, the mechanisms and consequences of discrete wheel tread irregularities, such as wheel flats and material fall-out due to rolling contact fatigue cracking, are addressed.

The Impact of Excitation Periods on the Outcome of Lock-In Thermography

Thermal imaging is a non-destructive test method that uses an external energy source, such as a halogen lamp or flash lamp, to excite the material under test and measure the resulting temperature distribution. One of the important parameters of lock-in thermography is the number of excitation periods, which is used to calculate a phase image that shows defects or inhomogeneities in the material. The results for multiple periods can be averaged, which leads to noise suppression, but the use of a larger number of periods may cause an increase in noise due to unsynchronization of the camera and the external excitation source or may lead to heating and subsequent damage to the sample. The phase image is the most common way of representing the results of lock-in thermography, but amplitude images and complex images can also be obtained. In this study, eight measurements were performed on different samples using a thermal pulse source (flash lamp and halogen lamp) with a period of 120 s. For each sample, five phase images were calculated using different number of periods, preferably one to five periods. The phase image calculated from one period was used as a reference. To determine the effect of the number of excitation periods on the phase image, the reference phase image for one period was compared with the phase images calculated using multiple periods using the structural similarity index (SSIM) and multi-scale SSIM (MS-SSIM).

Integrated Inverse Dynamics and Optimized Mechanical Design in Underactuated Linear Vibratory Feeders Under Periodic Excitation

PurposeThis paper proposes an integrated method for optimizing the response of underactuated linear vibratory feeders operating in open-loop control, under generic periodic excitations. The goal is ensuring a uniform motion of the tray, despite the presence of less actuators than degrees of freedom and of several specifications of the desired motion.MethodTo cope with the underactuated nature of these systems and with their non-minimum phase behavior, dynamic structural modification and the inverse dynamics approach are properly integrated by exploiting a common definition of the system internal dynamics. In the inverse dynamics problem, the inverse dynamics is stabilized through output redefinition and the resulting ordinary differential equations are integrated to compute causal actuation forces, ensuring almost-exact tracking for as many coordinates as the number of actuators. The tracking of the remaining coordinates of interest is improved through a proper design of the mechanical parameters, based on the modification of the internal dynamics.ResultsThe effectiveness of the proposed method is assessed through numerical simulations performed on the challenging case of a 14-degrees of freedom underactuated non-minimum phase linear vibratory feeder adopted in manufacturing plants to convey products.ConclusionThe results evidence the benefits obtained by integrating structural modification together with inverse dynamics. Inverse dynamics is effective, since the tracking error on the imposed coordinates is negligible. On the other hand, the benefits introduced by dynamic structural modification are proved as well, by the reduction of the tracking error also for the non-imposed coordinates.

Development of Bi-Stable Vibration Energy Harvesting System Using Duffing-Type Motion Model

Vibration power generation is an important issue in development of renewable energy. If a vibration system with a maximum possible amplitude is designed, it can be advantageous in improving the vibration power generation efficiency. In this study, we propose a Duffing-type bi-stable vibration energy harvesting system that utilizes the stochastic resonance phenomenon, which can significantly expand the vibration amplitude. We designed the motion rail shape of the bistable vibration model using the Duffing function, and created a Duffing-type wave-shaped motion rail using an acrylic plate. An electromagnetic motor was installed in place of the four rotating wheels below the mass block that moves on the wave-shaped motion rail. When the mass block moves on the rail, it can output a voltage directly from the electromagnetic motor. To verify the performance of the proposed bi-stable vibration energy-harvesting system, a vibration experiment was conducted by combining a random excitation signal that simulates an actual natural environment and intentional periodic excitation signal. Using the experimental results, the stochastic resonance phenomenon and vibration power generation performance of the bi-stable vibration energy-harvesting system were investigated. The stochastic resonance phenomenon can be reliably generated using the bi-stable vibration system proposed in this study, and a large amplitude expansion effect can be obtained in the response vibration of the mass block. In addition, using random signals simulating the natural environment and periodic signals as stimulus signals, vibration experiments were conducted separately for two measurement cases: single excitation and joint excitation. The measurement results showed that under the same input excitation energy, the simultaneous excitation of the two signals generated 82.99% more power than that generated by separate excitation of the two signals. The generation of the stochastic resonance phenomenon by exciting two signals simultaneously has a significant effect on the improvement of the power generation efficiency of the bi-stable vibration energy harvesting system.

300-Times-Increased Diffusive Skyrmion Dynamics and Effective Pinning Reduction by Periodic Field Excitation.

Thermally induced skyrmion dynamics, as well as skyrmion pinning effects, in thin films have attracted significant interest. While pinning poses challenges in deterministic skyrmion devices and slows down skyrmion diffusion, for applications in non-conventional computing, both pinning of an appropriate strength and skyrmion diffusion speed are key. Here, periodic field excitations are employed to realize an increase of the skyrmion diffusion by more than two orders of magnitude. Amplifying the excitation, a drastic reduction of the effective skyrmion pinning, is reported, and a transition from pinning-dominated diffusive hopping to dynamics approaching free diffusion is observed. By tailoring the field oscillation frequency and amplitude, a continuous tuning of the effective pinning and skyrmion dynamics is demonstrated, which is a key asset and enabler for non-conventional computing applications. It is found that the periodic excitations additionally allow stabilization of skyrmions at different sizes for field values that are inaccessible in static systems, opening up new approaches to ultrafast skyrmion motion by transiently exciting moving skyrmions.

Nonlinear bandgap transmission with zero frequency in a cross-stitch lattice

We consider a model for a cross-stitch lattice with onsite nonlinearity. The linear analysis and the determination of the homoclinic threshold for this model are carried out theoretically. In the case of a self-focusing nonlinearity, we show that the traveling bandgap soliton is possible as a result from the periodic excitation of the edge of the chains. Contrary to the usual supratransmission phenomenon, the generation of traveling solitons is possible by driving the lattice with zero frequency and constant amplitude. In the case of defocusing nonlinearities, the heteroclinic orbit is obtained with the frequency within the phonon band. By exciting one component of complex waves, a traveling phonon kink is obtained. Meanwhile, in the case of the driving of two complex waves with zero phonon and nonzero phonon frequencies, respectively, the fly phonon breather is observed. The collision of the waves from the flat band and phonon band gives the traveling bright carry by the traveling kink. These results are obtained through computer simulations.

Size-dependent nonlinear vibration analysis of cracked graphene-platelets-reinforced-composites (GPLRC) plate under parametric excitation

The response of a size-dependent randomly distributed graphene-platelet-reinforced-composite (GPLRC) plates, with an inclined part-through surface crack, resting on viscoelastic foundation under the action of periodic parametric excitation with quadratic and cubic nonlinearities are studied in the present study. The crack is centrally located at the center of the plate while inclined at an angle β concerning the X-axis. The angled crack’s mathematical formulation is based on a line-spring model. Indeed, the assumption of the problem is considered as the crack remains a continuous straight line. Nonlinearity is considered based on Berger’s formulation and Von-Karman’s geometric relations. Using classical plate theory, Eringen’s theory, micromechanical models, and equilibrium equation, the governing equation of motion of the problem have been derived. Then the Galerkin method was applied to transform the partial differential equation into the ordinary one. Eventually, the solution procedure of the cubic–quadratic nonlinear equation was followed by the multiple-scale perturbation method. Steady-state response and nonlinear softening or hardening treatment of the problem have been presented. Significant results of the study can be emphasized as GPLs, crack’s dimension and inclination, nonlocal parameter, damping, and detuning parameter effects on nonlinear behavior and stability of the structure. Dispersing GPLs as reinforcement material in the plate layer caused improvement in structural behavior, as the amplitude response of the system with the presence of a crack is decreased, comparing to a similar system without any reinforcement and crack. In the end, current work will help in the development of nonlinear behavior, stability analysis and critical bifurcation points of size-dependent cracked GPLRC plate exposed to external parametric loading.

Numerical analysis of a multistable capsule system under the delayed feedback control with a constant delay

The vibro-impact capsule system is a self-propelled mechanism that has abundant coexisting attractors and moves rectilinearly under periodic excitation when overcoming environmental resistance. In this paper, we study the control of coexisting attractors in this system by using a delayed feedback controller (DFC) with a constant delay. The aim of our control is to steer this complex system toward an attractor with preferable performance characteristics among multiple coexisting attractors, e.g., a periodically fast forward progression. For this purpose, we give an example of a feedback-controlled transition from a period-3 motion with low progression speed to a period-1 motion with high progression speed at the system parameters where both responses coexist. The effectiveness of this controller is investigated numerically by considering its convergence time and the required control energy input to achieve transition. We combine pseudo-spectral approximation of the delay, event detection for the discontinuities and path-following (continuation) techniques for non-smooth delay dynamical systems to carry out bifurcation analysis. We systematically study the dynamical performance of the controlled system when varying its control gain and delay time. Our numerical simulations show the effectiveness of DFC under a wide range of system parameters. We find that the desired period-1 motion is achievable in a range of control delays between a period-doubling and a grazing bifurcation. Therefore, two-parameter continuation of these two bifurcations with respect to the control delay and control gain is conducted to identify the delay-gain parameter region where the period-1 motion is stable. The findings of this work can be used for tuning control parameters in experiments, and similar analysis can be carried out for other non-smooth dynamical systems with a constant delay term.