scholarly journals Optimal control of feedback control systems governed by systems of evolution hemivariational inequalities

Filomat ◽  
2018 ◽  
Vol 32 (15) ◽  
pp. 5205-5220 ◽  
Author(s):  
Lu-Chuan Ceng ◽  
Zhenhai Liu ◽  
Jen-Chih Yao ◽  
Yonghong Yao

In this paper, we introduce and consider a feedback control system governed by the system of evolution hemivariational inequalities. Several sufficient conditions are formulated by virtue of the properties of multimaps and partial Clarke?s subdifferentials such that the existence result of feasible pairs of the feedback control systems is guaranteed. Moreover, an existence result of optimal control pairs for an optimal control system is also established.

2020 ◽  
Vol 25 (12) ◽  
pp. 2210-2221
Author(s):  
Biao Zeng

The goal of this article is to study the feedback control for non-stationary three-dimensional Navier–Stokes–Voigt equations. Based on the existence, uniqueness, and boundedness result of the weak solutions to the equations, we obtain the existence of solutions to the feedback control system. An existence result for an optimal control problem is also given. We illustrate our main result with an evolutionary hemivariational inequality.


2021 ◽  
Vol 338 ◽  
pp. 01014
Author(s):  
Marian Janusz Łopatka ◽  
Daniel Sterniczuk

The paper reviews the machine operators support technologies used in carrying out work tasks. The limitations of the current design solutions have been identified. The construction of control systems using haptic feedback was discussed and the research carried out on this technology was reviewed. The concept of hydraulic manipulator tool and its haptic feedback control system for monitoring loads during working movements is presented. The concept of the test stand for testing haptic feedback control systems and the preliminary experiment plan are presented.


2019 ◽  
Vol 9 (1) ◽  
pp. 113
Author(s):  
Chiu Choi

Integral control is one of the methods for reducing steady-state error in a feedback control system. This method is frequently used in manufacturing and industrial control processes. It is an important topic in the control engineering curriculum. In this paper, we describe a laboratory station developed for the investigation of integral control. Microcontrollers were used for the implementation of the integral controllers. Five experiments were developed for that laboratory station. These experiments emphasized on the understanding of integral control, elucidating the integrator windup problems, and introducing methods for overcoming such problems. These experiments offer hands-on experience to students and will increase their insights into integral control and anti-windup methods. These experiments can be readily incorporated into laboratory courses on feedback control systems or microcontroller applications.


1967 ◽  
Vol 89 (2) ◽  
pp. 365-370
Author(s):  
D. E. Limbert ◽  
C. K. Taft

The effects of nonuniform error quantization on feedback control system stability from the viewpoint of the existence of limit cycles are discussed. The existence of limit cycle is investigated for both step and ramp inputs and results are compared to actual system simulation. Guidelines are given for the selection of a quantizer to allow maximum velocity for a given number of error quantization levels with no loss of position accuracy.


2013 ◽  
Vol 313-314 ◽  
pp. 498-502
Author(s):  
A.M. Kassim ◽  
M.Z.A. Rashid ◽  
M.R. Yaacob ◽  
N. Abas ◽  
T. Yasuno

In this paper, the collaboration of CPG networks with the feedback control system which are composed with the maximum hopping height detector and the Proportional Integral (PI) controller as an engineering application for the CPG network is proposed with the developed control systems. By adding the feedback loop through the feedback controller, the developed quadruped hopping robot not only can generate the continuous hopping performances but also can control the desired hopping height. As the result, the effectiveness of CPG networks to keep the stability of the developed quadruped hopping robot besides of confirming the validity of using reference height control system to generate hopping capability at different reference height, respectively.


Author(s):  
Tatsuya Hoshikawa ◽  
Kou Yamada ◽  
Yuko Tatsumi

When a plant can be stabilized by using a stable controller, the controller is said to be a strongly stabilizing controller. The importance of strong stabilizations is to solve some problems occurred by using unstable stabilizing controllers, for example, feedback control systems become high sensitive for disturbances. Parameterizations of all strongly stabilizable plants and of all stable stabilizing controllers have already proposed. However, stable stabilizing controllers designed by using their parameterization cannot specify the input-output characteristic and the feedback characteristic separately. One of the ways to specify these characteristics separately is to use a twodegree-of-freedom control system. However, the parameterization of all two-degree-of-freedom strongly stabilizing controllers has not been examined. The purpose of this paper is to propose the parameterization of all two-degree-of-freedom strongly stabilizing controllers for strongly stabilizable plants.


2011 ◽  
Vol 301-303 ◽  
pp. 1670-1675 ◽  
Author(s):  
Shann Chyi Mou

Traditionally, the first step to analyze the steady-state error of nonunity feedback control system is to convert the system into an equivalent unity feedback control system, and calculate the steady-state error by using the concept of type number for unity feedback control system. In 2011, Mou is based on the concept of old type number and the definition of new steady-state error functione(t)=(1/KH)r(t)-y(t) by Kuo to offer the method for calculating the steady-state error of nonunity feedback control system. In this paper, three typical examples will be analyzed by the calculation of step response and by the simulation of Matlab. Therefore, we can prove that the definition of new steady-state error function e(t)=(1/KH)r(t)-y(t) by Kuo and the concept of old type number are useful to solve the steady-state error of nonunity feedback control system.


Kybernetes ◽  
2004 ◽  
Vol 33 (2) ◽  
pp. 347-354 ◽  
Author(s):  
Guangxing Tan ◽  
Jian Pan

This paper studies the stability properties of a class of nonlinear output‐feedback control system. By using a control transform and constructing Liapunov function, the sufficient conditions of the asymptotic stability for the nonlinear control system are presented. The result in this paper includes some existing results.


1992 ◽  
Vol 29 (1) ◽  
pp. 16-23 ◽  
Author(s):  
Yiu-Kwong Wong

Application of a spreadsheet program to control system design The Symphony spreadsheet program is applied to calculate the frequency response of feedback control systems. A design template which contains the necessary formulae was constructed so that very little knowledge of the program is required to obtain impressive results. The template becomes a powerful tool by providing a fast and efficient means of designing a stable closed-loop system as well as predicting its performance.


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