Analysis Of Mathematical Model Research Articles

ANALYSIS OF HYDROLOGICAL DROUGHT TRENDS IN AUSTRALIA WATERSHED

This paper is about the problem of drought and its future. The research methods are both theoretical and field studies. This paper presents a mathematical model for drought analysis in Australia that can predict its future trend. It analyses three meteorological indicators, including annual rainfall, increases in temperature, and water consumption volume. Surveys about the mentioned indicators are from the past to the present and now to the future intervals. This paper suggests practical solutions to change the conditions of drought-affected regions. The research method, simulated exemplary, and outcomes of this paper are applicable everywhere in the world affected by the hydro-drought crisis.

Photosynthesis dynamics and regulation sensed in the frequency domain.

Foundations of photosynthesis research have been established mainly by studying the response of plants to changing light, typically to sudden exposure to a constant light intensity after dark acclimation or light flashes. This approach remains valid and powerful, but can be limited by requiring dark acclimation before time-domain measurements and often assumes that rate constants determining the photosynthetic response do not change between dark and light acclimation. We show that these limits can be overcome by measuring plant responses to sinusoidally modulated light of varying frequency. By its nature, such frequency-domain characterization is performed in light-acclimated plants with no need for prior dark acclimation. Amplitudes, phase shifts, and upper harmonic modulation extracted from the data for a wide range of frequencies can target different kinetic domains and regulatory feedbacks. The occurrence of upper harmonic modulation reflects nonlinear phenomena, including photosynthetic regulation. To support these claims, we measured chlorophyll fluorescence emission of the green alga Chlorella sorokiniana in light that was sinusoidally modulated in the frequency range 1000-0.001 Hz. Based on these experimental data and numerical as well as analytical mathematical models, we propose that frequency-domain measurements can become a versatile tool in plant sensing.

Numerical simulation of air flow and heat transfer in air refrigerated containers using clean energy technologies

Air refrigerated containers are important links and key equipment for air cold chain transportation. The refrigerated container cools the goods through the cold air circulation in the container to achieve the purpose of refrigeration. The key to the design of aviation refrigerators lies in the numerical simulation of the cold air flow and temperature distribution in the containers to determine the best air duct design and optimal air outlet arrangement. This article briefly analyzes the structure of the air refrigerated container, establishes the mathematical and physical models for numerical analysis, and then analyzes the two methods. At the same time, temperatures are tested in physical container with temperature measuring devices and conducts a comparative analysis with numerical simulation. The results show that the existing top on the basis of the air supply, assign a flow channel to each small tuyere and remove the small tuyere beside it. This situation is better for both flow and heat transfer. Temperatures in tests are similar with numerical simulation.

Analytical Solutions for Side-branch Impedance Producing Spatial Localization of Acoustic Waves in Ducts with Varying Cross Sections

Analytical mathematical models and solutions for spatial localization of acoustic waves through an impedance discontinuity produced by an intermediate damped side branch are studied in stationary media in ducts with varying cross sections. Three specific geometries, namely, with polynomial, sinusoidal, and exponential longitudinal variations, are investigated. The sound fields inside the ducts are modeled by Webster's horn equation. Traveling-wave solutions are obtained by appropriate transformations. The side-branch impedances required for spatial localization (confinement) of traveling and standing waves are found analytically and verified numerically using three-dimensional finite element analysis. The impact of the longitudinal variation of the duct's cross-sectional area (CSA) on the side-branch impedance is examined. It was found that the required side-branch resistance changes more than the reactance with the variation of the duct CSA. A measure of a traveling wave is defined to quantitatively examine the spatial localization of acoustic waves. It was found that the CSA corrections on the side-branch impedances are important. The results of this study reveal the quantitative relationships between the side-branch impedance and the CSA variations for zero reflection from the impedance discontinuity. The mathematical approach presented is potentially helpful for a design of a full anechoic termination and energy localization in duct systems.

RESEARCH OF THE DYNAMICS OF RUSSIAN GDP IN THE CONDITIONS OF DIGITALIZATION OF THE ECONOMY

In the course of the study, a nonlinear dependence of the GDP dynamics on the increase in freight turnover was revealed. A regression model has been developed that determines the value of GDP depending on the dynamics of freight turnover. It should be stated that in Russia there is a rather low level of application of digital innovations, in comparison with foreign companies in developed countries, and continues to remain at a low level.
 Purpose. A hypothesis was put forward and proved that using a mathematical model, it is possible to obtain a forecast of Russia’s GDP for the next year based on the use of both a linear regression model reflecting the dependence of the GDP value on the dynamics of freight turnover, and using the AI-model “perceptron”, which includes the aggregate data reflecting the development of the economy.
 Method or methodology of the work. The work used research methods such as: monographic, analytical, linear regression and nonlinear mathematical model, as well as analysis, study and generalization.
 Results. A developed AI model (artificial intelligence model) “Perceptron” is presented, designed to predict Russia’s GDP based on input parameters representing a set of data reflecting the development of the real sector of the Russian economy in 2011–2019, including the dynamics of freight turnover. The experience of using artificial intelligence systems for forecasting time series, including the RF GDP, is considered.
 Field of application of the results: economics, financial sphere, forecasting and planning of economic and financial activities, economic security

Mathematical model for histogram analysis of dynamic contrast-enhanced MRI: A method to evaluate the drug treatment response in rheumatoid arthritis

PurposeTo evaluate the effectiveness of a mathematical model for histogram analysis of DCE-MRI in distinguishing responders from non-responders during RA drug treatment. MethodTwenty-three consecutive RA patients with clinically active inflammation prospectively underwent DCE-MRI at baseline and after treatment. Manual segmentation of the enhanced synovium was performed on the last phase of DCE-MRI. The voxel-based contrast enhancement was calculated in each phase to obtain 75th percentile values. Kinetic curves made from the 75th percentile values were fitted to mathematical model as follows, ΔS(t) = A(1 – e−αt)e-βt, where A is the upper limit of signal intensity (%), α (sec−1) is the rate of signal increase, and β (sec−1) is the rate of signal decrease during washout. AUC30 was calculated by integration of 30 s. SER was calculated as the signal intensity at the initial time point (t = 60) relative to the delayed time point (t = 300). The volumes of enhanced synovium (sum of the number of voxels) were also calculated. ResultsAfter treatment, α, Aα, AUC30 and SER were significantly lower in the responder group than in the non-responder group (p = 0.033, 0.024, 0.015, and 0.007). The p value of SER was lowest. Aα, AUC30, and the volume of enhanced synovium had significantly larger changes from baseline to after treatment in the responder group than in the non-responder group (p = 0.045, 0.017, and 0.008). The volume of enhanced synovium had the lowest p value. ConclusionsSER after treatment and change in the volume of enhanced synovium might be effective for distinguishing responders from non-responders.

Geometry design and dynamic analysis of a modified cycloid reducer with epitrochoid tooth profile

This study proposes a design method for a modified cycloid reducer with an epitrochoid tooth profile. The reducer used here has one contact pattern and non-pin rollers like a planocentric reducer. This feature makes the designed reducer easier to be manufactured compared to conventional cycloid reducers, which are difficult to manufacture due to tolerances. The tooth profile characteristics for nine different design scenarios for the cycloid reducer were analyzed with respect to the tooth thickness ratio and the distance from the center of the rolling circle. It was observed that the inflection point, which was calculated from the radius of curvature, was a major factor influencing the design of the cycloidal tooth profiles. A mathematical model for the force analysis of the designed reducer was developed, and variations in force distribution between the internal and external gears as well as the efficiency of the cycloid reducer were calculated according to different coefficients of friction. Involute and cycloid gears with a difference of one tooth between the internal and external gears were designed and manufactured, and finite element analysis showed that the cycloid gear had higher rigidity than the involute gear.

The Impact of Elongation on Change in Electrical Resistance of Electrically Conductive Yarns Woven into Fabric.

Electrically conductive yarns (ECYs) are gaining increasing applications in woven textile materials, especially in woven sensors suitable for incorporation into clothing. In this paper, the effect of the yarn count of ECYs woven into fabric on values of electrical resistance is analyzed. We also observe how the direction of action of elongation force, considering the position of the woven ECY, effects the change in the electrical resistance of the electrically conductive fabric. The measurements were performed on nine different samples of fabric in a plain weave, into which were woven ECYs with three different yarn counts and three different directions. Relationship curves between values of elongation forces and elongation to break, as well as relationship curves between values of electrical resistance of fabrics with ECYs and elongation, were experimentally obtained. An analytical mathematical model was also established, and analysis was conducted, which determined the models of function of connection between force and elongation, and between electrical resistance and elongation. The connection between the measurement results and the mathematical model was confirmed. The connection between the mathematical model and the experimental results enables the design of ECY properties in woven materials, especially textile force and elongation sensors.

TO THE QUESTION OF THE CALCULATING OF THE SPECIAL DEVICES CHARACTERISTICS WITH A MAGNETIC SYSTEM BASED ON THE PERMANENT MAGNETS

The creation of modern computer-aided design systems for devices and electrical machines of new generation, built on the basis of permanent magnets, necessitates the development of new mathematical models and effective computational algorithms. Based on mathematical models and using IT technologies, it is possible to develop both separate functional CAD blocks and an integrated system for calculating device parameters and modeling its characteristics. The paper considers a typical design of an electromechanical device with permanent magnets, which create a field with specified characteristics in the working area. At the first stage of the study, the heterogeneity of the environment was not taken into account. To calculate the strength of the magnetic field created by rectangular magnets, two mathematical models were obtained. This approach made it possible, first, to check the results of calculations and, secondly, to use mathematical models for comparative analysis when performing numerical modeling of the magnetic field characteristics for a system built, for example, using cylindrical magnets. On the foundation of developed mathematical model, an algorithm for analyzing the initial characteristics of a special device with permanent magnets is proposed. Devices of this type can be used to register small displacements. At the same time, the very scheme of the magnetic system and mathematical models describing the properties of the magnetic field can be used in the development of other types of electrical devices built using permanent magnets. A number of experiments on numerical simulation of the magnetic field pattern in the working area of the device were performed in the work. The results of the sensor signal simulation during the movement of the test body are also presented.

Application of mathematical models in stock market analysis

This paper describes several methods for modulating of the stocks volatility through use of variance, EWMA and GARCH models. Results are presented using logarithmic return of the Lithuanian OMXV index.

Deep Squat – Should We Be Afraid?

PURPOSE Squats are among the basic exercises that have become an integral part of exercise programs. It is commonly used by athletes in many sports. Its potential is shown in the development of strength, power, and overall sports performance. The aim of the study was to verify inconsistent views on deep squats, technical design, and related health risks. METHODS For the purposes of the review, the terms "squat, knee, biomechanics, deep, patellofemoral, back squat, performance, arthritis, health, injury, risk" were used. RESULTS It turns out that the technique of performing a deep squat has its strict principles, which must be respected and which have a significant impact on the benefits and risks. From loading, the lower position represents an increase in compressive and shear forces on the patellofemoral joint, however, this is a natural state that is not risky. Health hazards cannot be based on analytical-mathematical models, which are insufficient in this aspect. Extreme long-term exposure carries the risk of permanent consequences in the form of osteoarthritis. For prophylaxis or convalescence, it is possible to use effective aids like sleeves, kinesio taping, bandage or "knee savers". CONCLUSIONS With optimal technique and sensible exercise selection, there is no greater risk in healthy individuals without degenerative anatomical changes. In order to assess the effects of the squat forces on the ankle, knee, hip, spine, it is necessary to consider the technique and also individual anatomical differences.

High strength tape layer modeling for analysis of flexible pipe axisymmetric behavior and birdcaging limit

Flexible pipes are critical elements for offshore oil and gas development and determining its response in axisymmetric loadings is of paramount importance. Often the anti-birdcage tape layer is represented by a tubular structure with either isotropic or orthotropic material properties. However, it is recognized that a tubular structure cannot fully replicate the stiffness and strength and deformation mechanisms of helically wound tape layers. This paper presents a mathematical model for the local analysis of unbonded flexible pipes subjected to axisymmetric loadings where three anti-birdcage tape layer modeling strategies are presented including helical tape, orthotropic and isotropic tubes. This model is then verified against existing test data. The deviations caused by the orthotropic and isotropic tube modeling strategies in different loading conditions are discussed. This is followed by parametric studies on the effects of anti-birdcage tape tensile stiffness, laying angle and direction on the flexible pipe mechanical behaviors in tension, axial rotation in both directions, axial compression, as well as birdcaging limit loads. The importance of considering non-uniform tensions in the filaments that constitute the tape is discussed.

Socio-Technical Challenge in the Selection of the Remote E-Learning Platform

Abstract The current pandemic context represents, without any doubt, the most serious challenge for all working environments, implicitly and educationally. Students and teachers alike are unwittingly deprived of such a natural meeting characteristic of the learning process in an amphitheatre or laboratory and thus put in the challenging situation of continuing their efforts to achieve the goal, by making the efficient use of the online environment in all its complexity (hardware infrastructure, educational platforms, accessibility to the internet connection). The article deals with the selection of the distance education platform by using a mathematical model of multi-criterial analysis of the factors involved. It is essential that education does not interrupt its course and continues to evolve, thus adding value to society. Moreover, our future, of all, depends on our ability to cope with the highest standards, the challenge created by distance education. By linking the skills of teachers and instructors, the potential of students and the optimization of IT resources, this desire is possible provided that each of the elements involved contributes to the achievement of the ultimate goal: preparing generations of young people for the uncertain future. The resilience of the public and private education system is dependent on the use of tools appropriate to the purposes assumed.

Analytical modeling of piezoelectric 6-degree-of-freedom accelerometer about cross-coupling degree

In order to realize the optimize design of the 6-degree-of-freedom (6-DF) accelerometer according to its cross-coupling degree, the analysis mathematical modeling of the accelerometer′s cross-coupling must be carried out. In this work, the working principle and structure characteristics of the six-wafer piezoelectric 6-DF-accelerometer are analyzed. According to the mechanical analysis of the sensing element, the 6-DF component force equation of the accelerometer and the composite formula of the six-wafer are deduced. Analytical mathematical model and cross-coupling graph model of cross-coupling degree are derived by analyzing the static structure and coupling mechanism. The numerical simulation experiment is carried out using ANSYS software. An experimental prototype of the 6-DF-accelerometer is fabricated. The vibrator is used as a loading source for calibration. The experimental results show that the Pearson correlation index of the multiple parameter model about the cross-coupling degree, the numerical simulation model, and calibration experiment is 0.9881. The results of the cross-coupling research of the three models are consistent, which verifies the effectiveness of the analytical mathematical model. Coupling direction and coupling number were obtained based on the cross-coupling graph model. The results of this work provide the theoretical basis for further research on the active optimization design method of 6-DF-accelerometer based on cross-coupling.

Novel Mathematical Model for Transient Pressure Analysis of Multifractured Horizontal Wells in Naturally Fractured Oil Reservoirs.

Multifractured horizontal wells have gained significant attention within the petroleum industry for commercial development. Despite considerable developments of transient pressure analysis or flow rate behaviors for horizontal wells in naturally fractured reservoirs, some significant problems are yet to be resolved, including high heterogeneity of reservoirs, pressure sensitivity of hydraulic fractures, and non-Darcy flow effect, which may occur during the production life. This paper presents a more pragmatic mathematical model for multifractured horizontal wells in naturally fractured reservoirs based on the fractal system, the theory of permeability modulus, and the time-fractional calculus correspondingly as an extension of the classic trilinear flow model. This new model comprises three modules: high heterogeneity of the reservoir based on the fractal system, the permeability modulus typically showing the pressure sensitivity of hydraulic fractures, and the anomalous diffusion describing non-Darcy flow turbulence. This investigation evaluates a trilinear dual-permeability dual-porosity flow model, with the dual-porosity model for the unstimulated outer reservoir flow region, the dual-permeability model for the stimulated inner reservoir flow region, and the permeability modulus for the flow region of hydraulic fractures. The comprehensive sensitivity analysis conducted indicates how the key parameters, such as fractal dimension, hydraulic fracture permeability modulus and conductivity, interporosity flow coefficient, storativity ratio, etc., affect the transient pressure behaviors, along with their reasons for the change in behavior. Application to a field case study further demonstrates the validity of the mathematical model, and the results presented may play a guiding role in well test interpretation.

Design and Analysis of Breath Collection System for Rapid Analysis of Breath Condensate

Introduction Breath analysis has attracted a lot of interest as a less-invasive method for health diagnostics and the detection of biomarker for various illnesses. A number of research studies have examined miniaturization of the sensing devices to achieve portability and lower the cost so that point of care application can be considered [1]. However, one major issue in breath analysis is that the breath sample needs some preconditioning before sensing can be carried out. Specifically, the water droplets and water vapor fraction should be separated from the volatile organic compounds. [2]. For that reason, a miniaturized water vapor and suspended droplet extraction device would be useful for a portable breath analysis system. The device must be able to provide a dry breath sample gas at the outlet as well as collecting the extracted condensate which contains biomarkers for diseases [3]. In this paper, a serpentine-type mini channel [4] is proposed as miniaturized water vapor extraction device. An analytical model is developed to obtain the height, width, and length values of the channel that is sufficient to remove moisture content in exhaled breath as it is cooled by using thermoelectric element. Method An analytical mathematical model is developed to calculate the optimized channel dimensions with design objectives of maximum condensing water vapor, minimum overall space, and minimum pressure drop. Based on calculation, the geometrical dimensions of 3 x 0.5 x 30 mm (width x height x length) are selected. The mini channel is made of serpentine-patterned aluminum sheet and a lid made of PMMA (Figure 1a). The aluminum sheet and PMMA are hermetically bonded by using cyanoacrylate adhesive. To verify the calculated outlet temperature and water vapor concentration of breath flow as well as liquid collection rate of the device, an experiment using artificial breath flow is conducted with the setup as shown schematically in figure 1a. An artificial breath flow is generated by pumping ambient air at 0.06 L/s using a mini diaphragm pump (SparkFun Electronics RP 10398) through a water bubbler heated with a strip heater (HT640). It generates a humid air with RH 100% and temperature varied from 27-38oC in the mini channel inlet. The mini channel is cooled by a thermoelectric (Peltier) element (CP85438 40x40 mm) to a cold side temperature of 16oC. At the inlet and outlet side of the mini channel, a DHT22 sensor is attached to measure temperature and humidity value at both ends. Results and Conclusions Figure 1b and 1c shows the plot of temperature and water molecule concentration at the inlet and outlet side of the channel. Based on the result, the calculated temperature and water vapor concentration values have a good agreement with the measured values with margin of error ±10%. With the thermoelectric element cooled up to 16 oC, a moisture removal efficiency of 69.5% is achieved. In this case, the steady state liquid collection rate is 2 x 10-3 ml/s. It produces gas phase breath sample with RH 58% at room temperature (25 oC). Using the same model, calculation is further carried to obtain that theoretical removal efficiency of 90% can be achieved by cooling down the Peltier element to 0oC. In this case, the steady state liquid collection rate is 2.4 x 10-3 ml/s, and the device will produce gas phase breath sample with RH 18% at room temperature.

ANALYTICAL MATHEMATICAL MODELS OF THE POPULATION OF ARTHROPODS IN THE NON-BLACK EARTH ZONE

The article provides an example of mathematical analytical modeling of the population size of blood-sucking arthropods on the example of mosquitoes and ixodid ticks that inhabit the Kaluga Region. The presented analytical mathematical models make it possible to clearly assess the influence of environmental factors on parasite populations. The following factors were taken into account: average temperature (monthly and yearly, t, oС); average precipitation (monthly and yearly, S, mm); mean atmospheric pressure (P, mm Hg) for mosquitoes, and monthly average temperature (t, o С), monthly mean relative humidity (Q, %), and mean atmospheric pressure (P, mm Hg) for ixodid ticks. The analysis of the obtained models shows that under weather conditions when monthly mean values of the considered factors are at a zero level, the estimated number of ixodid ticks and mosquitoes will be 1150 and 1529 individuals in the control area per year. The population of ixodid ticks is most significantly influenced by the mean atmospheric pressure; its influence is twice as strong as monthly mean humidity and 6.4 times stronger than the influence of monthly average temperature. The "+" sign indicates that the higher the atmospheric pressure is, the more active ticks are observed. Monthly average precipitation has the greatest effect on the mosquito population.

Well Injectivity during CO2 Geosequestration: A Review of Hydro-Physical, Chemical, and Geomechanical Effects

Deep saline aquifers are among the most favorable geological sites for short- and long-term carbon geosequestration. Injection of CO₂ into aquifers causes various hydro-physical, chemical, and geomechanical interactions that affect the injectivity of wellbores. Despite the extensive research conducted on carbon capture and storage (CCS), there exists a lack of focus on the concept of injectivity. The present study aims to identify the gaps by reviewing the major factors contributing to CO₂ injectivity in deep saline aquifers. Moreover, the existing analytical and numerical mathematical models to estimate maximum sustainable injection pressure and pressure build-up are critically reviewed. Concerning the analytical models, the main controversies are related to the general shape of the CO₂–brine interface that stems from neglecting or assuming CO₂ compressibility, mutual solubility of CO₂ and water, and drying-out effects. Besides, the models predicting waterflooding processes cannot accurately evaluate the injectivity of CO₂ due to the unique features of CO₂. Furthermore, most models have concentrated on CO₂ storage capacity at the reservoir scale and not on wellbore injectivity. Thermo-poro-elastic effects influencing the in situ stresses and constraining the maximum sustainable injection pressures are also neglected in some cases. Despite the numerous numerical modeling workflows or tools, some mechanisms have not yet gained the desired attention, especially the chemical aspects of CO₂-rich brine. Finally, while the field data demonstrate the applicability of CO₂ geosequestration in saline aquifers, regular wellbore injectivity monitoring and surveillance is deemed necessary.

INFLUENCE OF ROLLING STOCK VIBROACOUSTICAL PARAMETERS ON THE CHOICE OF RATIONAL VALUES OF LOCOMOTIVE RUNNING GEAR

Purpose.The success of the traffic on the railways of Ukraine depends on the number and the operational fleet of electric locomotives. Today, the locomotive depot exploit physically and morally outdated locomotives that have low reliability. Modernization of electric locomotives is not economically justified. The aim of this study is to improve the safety of the traction rolling stock by the frequency analysis of dynamical systems, which allows conducting the calculation of the natural (of resonant) frequencies of the design and related forms of vibrations.Methodology.The study was conducted by methods of analytical mechanics and mathematical modeling of operating loads of freight locomotive when driving at different speeds on the straight and curved track sections. The theoretical value of the work is the technique of choice of constructive schemes and rational parameters of perspective electric locomotive taking into account the electric inertia ratios and stiffness coefficients of Lagrange second-order equations.Findings. The problems of theoretical research and the development of a mathematical model of the spatial electric vibrations are solved. The theoretical studies of the effect of inertia ratios and stiffness coefficients on the dynamic values and the parameter values of electric locomotive undercarriages are presented.Originality.The set of developed regulations and obtained results is a practical solution to selecting rational parameters of bogies of the freight mainline locomotive for railways of Ukraine. A concept of choice of constructive scheme and rational parameters of perspective locomotive is formulated. It is developed the method of calculation of spatial electric locomotive oscillations to determine its dynamic performance. The software complex for processing the data of experimental studies of dynamic parameters of electric locomotive and comparing the results of the theoretical calculations with the data of full-scale tests is implemented.Practicalvalue.The theoretical study allows objectively assessing the impact of the partial frequency of electric locomotive elements on both the rational parameters of its underframe, and the performance and physiological condition of the locomotive crew. Thus, the practical value of the whole complex of theoretical research was to develop an algorithm and program, choosing rational parameters and design scheme of electric locomotive running gear. Using a software package for the study of spatial fluctuations of electric locomotive made it possible to evaluate the dynamic performance of the electric locomotive underframe with sufficient accuracy for practical problems.

Kinematics analysis of a FLHL robot parallel-executed cylinder mechanical integration system with force/position hybrid control servo actuator

In this research subtopic, an electro-hydraulic servo four-legged heavy load (FLHL) robot has been designed and developed. This paper proposes an integration layout cylinder design scheme for a non-lightweight hydraulic servo four-legged robot with high loads and torques of hip joint, and derives the mathematical element analysis model for a parallel hydraulic servo cylinder system. The multiple inherent characteristics of the parallel-executed cylinder integration system model are further explored. Based on the controllable functional requirements of interconnected joints and weakening the influence of internal force coupling, a design idea of force/position hybrid control scheme for the parallel-executed cylinder is determined, and then the force/position signal module design unit is used to reversely solve the force/position hybrid control. Considering the inherent requirements of the servo-executed cylinder force control unit module, the implementation process of magnetic flux compensation and speed compensation is discussed in detail. The minimum amplitude controller is applied to the servo-executed cylinder force unit module, and the proportional integrated controller has been determined in the servo-executed cylinder position control unit module. A compound control strategy proposed in this paper is verified on a parallel hydraulic servo platform. The experimental verification results reveal that the values of position/force attenuation amplitude and lag phase are not greater than 9 % and 18°, respectively. In addition, the feasibility of the interconnected implementation of the hybrid control scheme proposed in this paper is further deepened. The effective conclusion of this research will be accepted in the application field of FLHL robot control system.