Deadbeat Controller Design Research Articles

Attractiveness and Invariance Assessments of Dead-Beat Sliding-Mode Control With Power Rule

This paper presents a dead-beat sliding-mode control design with the variable difference representation, and the control scheme with power rule improving the convergence rate of the tracking error itself and attenuating the chattering. To characterize the transient and steady-state performance, the attractiveness and invariance assessments are conducted, including the absolute attractive layer and the steady-state error band, by which the control parameters can be appropriately selected to assure a smaller steady-state error. Furthermore, the monotonic convergence condition is given, under which the tracking error converges monotonically and the overshoot phenomenon can be effectively addressed. Numerical and experimental results are presented to validate effectiveness of the presented control scheme.

Computationally Efficient Deadbeat Direct Torque Control Considering Speed Dynamics for a Surface-Mounted PMSM Drive

In this article, a computationally efficient deadbeat (DB) direct torque and flux control is investigated for surface-mounted permanent magnet synchronous motor (SPMSM) drives. Unlike conventional DB direct torque control (DB-DTC), the proposed DB-DTC technique simultaneously manipulates the electromagnetic torque and stator flux along with rotor speed in a combined DB controller structure. Moreover, a simple and computationally efficient DB-DTC structure is achieved through a novel DB controller design in the stationary reference frame and it ensures an improved transient performance within finite time steps. The feedforward terms are properly designed to mitigate the effects of system uncertainties. The stability of the proposed DB-DTC has been proven and discussed in detail through Lyapunov theory and eigenvalue analysis. The designed DB-DTC strategy has been simulated via MATLAB/Simulink software and practically evaluated on a laboratory SPMSM drive with TI digital signal processor TMS320F28335. Extensive comparative evaluation with conventional proportional-integral (PI)-DTC and DB-DTC corroborate an improved control performance in speed/torque dynamic response (fast rise time) as well as reductions in torque and flux ripples under tough practical conditions (e.g., speed and torque step-changes, and speed reversal test cases) with significantly reduced computational complexity.

Design of hybrid Neuro-Robust deadbeat controller for higher order linear systems based on optimized mixed reduction method

AbstractThe control of higher order linear system is one of the main fields of research area that has been studied for decades because of the difficulty in designing a controller for such systems. One of the best approaches to solve this problem is by reducing the order of the system into a second orders, based on this reduction many approaches can be proposed for controlling the higher order system, therefore many reduction methods are suggested and developed for this purpose, one of these methods is the Mixed Reduction Method (MRM). The first contribution of this paper is to improve the efficiency of MRM by using a flower optimization algorithm.The second contribution of this paper lies in proposing a hybrid Neuro-Robust deadbeat controller using Matlab facilities to control higher order linear systems based on the optimized MRM. Where the robust deadbeat control algorithm is combined with a modified adaptive radial basis neural network to improve the robustness and efficacy of the deadbeat controller, which is partially lost when designing this controller for the higher order based on model reduction. The suggested radial basis function neural network has a simple design. The proposed control scheme assures the stability of the overall closed loop-controlled system; therefore, it can be applied to control any linear higher order systems. Results of different simulation examples show the efficiency of the proposed hybrid controller (Neuro-robust deadbeat) in tracking different reference signals compared to the robust deadbeat controller.

Data‐driven, robust output regulation in finite time for LTI systems

SummaryIn this paper, a novel data‐driven approach is proposed to obtain output regulation for linear systems in finite time, requiring only limited information about the plant and the exosystem. The resulting regulator is robust because it does not rely on the knowledge of perturbed or even nominal plant parameters. Finite‐time regulation is achieved, combining the use of the external‐model technique with the deadbeat controller design. The core of the method lies in an error‐feedback reset logic for the state of the external model to compensate for the contribution of the exosystem on the plant output response, then an ancillary control law is introduced to steer the error to zero in a preassigned time interval, trading‐off between convergence rate, and control effort.

Robust digital deadbeat control design technique for 3 phase VSI with disturbance observer

Robust digital deadbeat control design technique for 3 phase VSI with disturbance observer

Improved Direct Deadbeat Voltage Control with an Actively Damped Inductor-Capacitor Plant Model in an Islanded AC Microgrid

A direct deadbeat voltage control design method for inverter-based microgrid applications is proposed in this paper. When the inductor-capacitor (LC) filter output voltage is directly controlled using voltage source inverters (VSIs), the plant dynamics exhibit second-order resonant characteristics with a load current disturbance. To effectively damp the resonance caused by the output LC filter, an active damping strategy that does not cause additional energy loss is utilized. The proposed direct deadbeat voltage control law is devised from a detailed, actively damped LC plant model. The proposed deadbeat control method enhances voltage control performance owing to its better disturbance rejection capability than the conventional deadbeat or proportional-integral-based control methods. The most important advantage of the proposed deadbeat control method is that it makes the deadbeat control more robust by bringing discrete closed-loop poles closer to the origin. Simulation and experimental results are shown to verify the enhanced voltage control performance and stability of the proposed voltage control method.

Deadbeat Control for Electrical Drives: A Robust and Performant Design Based on Differential Flatness

The present contribution introduces a new deadbeat controller design that increases robustness without compromising performance. In conventional deadbeat control, feedback linearization is applied, and the feedback gains are set very high to obtain the minimum-step reference response. This makes the control method highly sensitive to parametric uncertainties. To date, the only remedies have been to tune the deadbeat controller settling time higher and the according disturbance estimator more slowly. Recently proposed remedies based on online parameter estimators show either moderate performance or higher demands on hardware. Therefore, first a feedforward linearization-based controller is introduced to obtain the desired reference response via open-loop control. Thereby, the parametric sensitivity is considerably improved. Then, the new generalized flatness-based controller, a mix between feedback and feedforward linearization, is proposed. The result is a deadbeat controller with high dynamic performance and high robustness with respect to both parameter uncertainties and disturbances. The experimental results on an induction machine demonstrate very fast reference tracking, high robustness to typical parameter uncertainties, and active compensation of time-varying disturbances. The results on a synchronous reluctance machine show that even very large inductance uncertainties can be handled.

Design of QFT-Based Self-Tuning Deadbeat Controller

Design of QFT-Based Self-Tuning Deadbeat Controller

Time-Varying Deadbeat Controller Design

A time-varying generalization of the classical deadbeat controller is derived directly from input–output data in the present paper. The natural extension of the time invariant deadbeat condition to the time-varying case is presented by using the key developments of the observer/Kalman filter time-varying system identification theory reported recently by the authors. In stark contrast to the time invariant deadbeat controller design, it is shown that the timevarying deadbeat controller parameters donot follow the recursive relationship thatwas developed in the past. In the special case of periodic systems, where repeated experimental data are available naturally, it seems that such a controller can be designed to set the output of the closed-loop system to rest after a few time steps. Numerical simulation example demonstrates the efficacy of the deadbeat controller design method proposed in this paper. A deadbeat controller, realized from the departure motion dynamics of a spacecraft, is then shown to enhance the performance of an attitude control system by minimizing the deviations from a reference trajectory.

Formula omitted] optimal ripple-free deadbeat controller design

This paper deals with ripple-free deadbeat controller design for single-input/single-output sampled-data systems. Given a prescribed settling time, the design problem is tackled by computing a ripple-free deadbeat controller that optimizes an H 2 performance criterion. This criterion accounts for the quality of the tracking response and for the control energy necessary to achieve the deadbeat behavior. Our main result shows that the optimal performance improves as the settling time grows, revealing a fundamental tradeoff inherent to this control technique.

Minimum effort dead‐beat control of linear servomechanisms with ripple‐free response

A new and systematic approach to the problem of minimum effort ripple-free dead-beat (EFRFDB) control of the step response of a linear servomechanism is presented. There is specified a set of admissible discrete error feedback controllers, complying with general conditions for the design of ripple-free dead-beat (RFDB) controllers, regardless of the introduced degree of freedom, defined as the number of steps exceeding their minimum number. The solution is unique for the minimum number of steps, while their increase enables one to make an optimal choice from a competitive set of controllers via their parametrization in a finite-dimensional space. As an objective function, Chebyshev's norm of an arbitrarily chosen linear projection of the control variable was chosen. There has been elaborated a new, efficient algorithm for all stable systems of the given class with an arbitrary degree of freedom. A parametrized solution in a finite space of polynomials is obtained through the solution of a standard problem of mathematical programming which simultaneously yields the solution of a total position change maximization of servomechanism provided that a required number of steps and control effort limitation are given. A problem formulated in this way is consecutively used in solving the time-optimal (minimum-step) control of a servomechanism to a given steady-state position with a specified limitation on control effort. The effect of EFRFDB control on the example of a linear servomechanism with torsion spring shaft, with the criterions of control effort and control difference effort, is illustrated and analysed. Copyright © 2001 John Wiley & Sons, Ltd.

Minimum effort dead‐beat control of linear servomechanisms with ripple‐free response

AbstractA new and systematic approach to the problem of minimum effort ripple‐free dead‐beat (EFRFDB) control of the step response of a linear servomechanism is presented. There is specified a set of admissible discrete error feedback controllers, complying with general conditions for the design of ripple‐free dead‐beat (RFDB) controllers, regardless of the introduced degree of freedom, defined as the number of steps exceeding their minimum number. The solution is unique for the minimum number of steps, while their increase enables one to make an optimal choice from a competitive set of controllers via their parametrization in a finite‐dimensional space. As an objective function, Chebyshev's norm of an arbitrarily chosen linear projection of the control variable was chosen. There has been elaborated a new, efficient algorithm for all stable systems of the given class with an arbitrary degree of freedom. A parametrized solution in a finite space of polynomials is obtained through the solution of a standard problem of mathematical programming which simultaneously yields the solution of a total position change maximization of servomechanism provided that a required number of steps and control effort limitation are given. A problem formulated in this way is consecutively used in solving the time‐optimal (minimum‐step) control of a servomechanism to a given steady‐state position with a specified limitation on control effort. The effect of EFRFDB control on the example of a linear servomechanism with torsion spring shaft, with the criterions of control effort and control difference effort, is illustrated and analysed. Copyright © 2001 John Wiley & Sons, Ltd.

連続時間系の有限時間整定制御器の1設計法

連続時間系の有限時間整定制御器の1設計法

Robust ripple-free deadbeat control design

This paper deals with the design of ripple-free deadbeat controllers with performance or performance robustness optimized over controllers within a prescribed settling time. The performance objective of interest is the minimization of the maximum absolute tracking error. This leads to consider linfinity optimization problems. On the contrary, the optimization of the performance robustness leads to consider l1 optimization problems. An example is provided to illustrate the results.

A Design of Continuous Deadbeat Controller and Its Application to Speed-control of the Induction Motor

A Design of Continuous Deadbeat Controller and Its Application to Speed-control of the Induction Motor

Deadbeat controller design for a soft-switched high-frequency resonant rectifier

In this paper, a deadbeat controller design technique is developed for a quantum boost series resonant rectifier (QBSRR) to achieve the fast dynamic responses of the output voltage in the presence of any load variations, and in order to monitor the load information without employing the current sensor, the load estimation method is also derived. By using the information of the load estimation method, the proposed controller gain is automatically adjusted to have the system always keep the very fast dynamic responses. To verify these superior performances, the simulation and experiment are carried out.

Recursive Deadbeat Controller Design

This paper presents a recursive algorithm for a deadbeat predictive controller design. The method combines together the concepts of system identification and deadbeat controller designs. It starts with the multi-step output prediction equation and derives the control force in terms of past input and output time histories. The formulation thus derived satisfies simultaneously system identification and deadbeat controller design requirements. As soon as the coefficient matrices are identified satisfying the output prediction equation, no further work is required to compute the deadbeat control gain matrices. The method can be implemented recursively just as any typical recursive system identification techniques.

Recursive deadbeat controller design

Recursive deadbeat controller design

Optimal control of first-order plants by dead-beat techniques

The design of optimal dead-beat controllers for first-order plants is considered. The simple nature of these plants leads to ripple-free step response, a property that is highly desirable. The minimum energy and minimum effort control problems are formulated and solved with an analytical and generalized approach. Analytical expressions for the digital controller pulse transfer functions along with the resulting control sequences are derived. Generalized curves for the maximum control signals appearing in the system are also presented. The latter can be used for the determination of the minimum sampling period when the maximum control signal is specified. © 1997 John Wiley & Sons, Ltd.

Optimal control of first‐order plants by dead‐beat techniques

The design of optimal dead-beat controllers for first-order plants is considered. The simple nature of these plants leads to ripple-free step response, a property that is highly desirable. The minimum energy and minimum effort control problems are formulated and solved with an analytical and generalized approach. Analytical expressions for the digital controller pulse transfer functions along with the resulting control sequences are derived. Generalized curves for the maximum control signals appearing in the system are also presented. The latter can be used for the determination of the minimum sampling period when the maximum control signal is specified. © 1997 John Wiley & Sons, Ltd.