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LMI Based Synchronization Control of Nonlinear Affine Fractional Order Chaotic Systems Considering Input Constraint

Journal of Systems Science and Systems Engineering 2023年第6期32卷 643-655页

作者： Ali Soleimanizadeh Mohammad Ali Nekoui Mahdi Aliyari Shoorehdeli Department of Electrical Engineering Islamic Azad University South Tehran BranchTehranIran Department of Electrical Engineering K N Toosi University of TechnologyTehranIran

The current paper deals with synchronization problem among chaotic nonlinear fractional order systems considering input saturation constraint.To develop the idea,at first a generalized sector condition and a memory-less nonlinear function are employed to deal with the saturation problem.Then a new state feedback controller is designed to achieve synchronization in master-slave chaotic fractional order nonlinear systems with input saturation.Using the state feedback controller,the asymptotic stability of whole dynamic error model between master and slave is achieved.The stability of the closed-loop system is guaranteed using Lyapunov theory and sufficient stability conditions are formulated in terms of caputo fractional derivative of a quadratic Lyapunov function and Linear Matrix Inequalities(LMI).Finally,to verify the effectiveness of the proposed control scheme,some simulation results are employed to show the effectiveness of the proposed methodology.

关键词： Input Affine system chaos systems input saturation nonlinear fractional order feedback controller synchronization

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The Stabilization of FitzHugh-Nagumo Systems with One feedback controller

The Stabilization of FitzHugh-Nagumo Systems with One Feedba...

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第二十七届中国控制会议

作者： Yu Xin1,2,Li Yongyong2 1.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China 2.Ningbo Institute of Technology,Zhejiang University,Ningbo 315100,P.R.China

This work is concerned with the internal stabilization of the FitzHugh-Nagumo system defined on a bounded domain. We give a sufficient condition under which such system can be exponentially stabilized by only one feed... 详细信息

关键词： FitzHugh-Nagumo system Stabilization feedback controller Closed-loop system

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State feedback Tracking Control for Indirect Field-oriented Induction Motor Using Fuzzy Approach

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International Journal of Automation and computing 2013年第2期10卷 99-110页

作者： M. Allouche M. Chaabane M. Souissi D. Mehdi F. Tadeo Laboratory of Sciences and Techniques of Automatic Control and Computer Engineering (Lab-STA) National School of Engineering of SfaxUniversity of Sfax Laboratory of Computer and Automatic for System (LIAS) Higher School of Engineering of Poitiers (ESIP) University of Poitiers Department of Systems Engineering University of Valladolid

This paper deals with the synthesis of fuzzy controller applied to the induction motor with a guaranteed model reference tracking performance. First, the Takagi-Sugeno （T-S） fuzzy model is used to approximate the nonlinear system in the synchronous d-q frame rotating with field-oriented control strategy. Then, a fuzzy state feedback controller is designed to reduce the tracking error by minimizing the disturbance level. The proposed controller is based on a T-S reference model in which the desired trajectory has been specified. The inaccessible rotor flux is estimated by a T-S fuzzy observer. The developed approach for the controller design is based on the synthesis of an augmented fuzzy model which regroups the model of induction machine, fuzzy observer, and reference model. The gains of the observer and controller are obtained by solving a set of linear matrix inequalities （LMIs）. Finally, simulation and experimental results are given to show the performance of the observer-based tracking controller.

关键词： Fuzzy tracking control H∞ performance feedback controller linear matrix inequality （LMI） fuzzy observer

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Internal Stabilization of a Mutualistic Reaction Diffusion System

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Acta Mathematica Sinica,English Series 2007年第2期23卷 373-384页

作者： Wang Yuan DONG School of Mathematics and Statistics Lanzhou University College of Science Huazhong Agriculture University

We study the internal stabilization of steady-state solutions to a 2-species mutualistic reaction diffusion system via finite-dimensional feedback controllers. Our main idea is to use different internal controllers to stabilize different steady-state solutions. The controllers axe provided by considering LQ problems associated with the lineaxized systems at steady-state solutions.

关键词： stabilization mutualistic systems steady-state solution Riccati equation feedback controller

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H∞ Control of Biological Complex System

H∞ Control of Biological Complex System

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第二十九届中国控制会议

作者： MA Yumin1,2,Xi Zairong 1 1.The Key Laboratory of Systems and Control,Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,P.R.China2.Graduate University of Chinese Academy of Sciences,Beijing 100039,P.R.China

There are always unmodeled dynamics and various disturbances in the real biological complex systems.Considering the disturbances can make the model more practical to the real situation.H∞control is a way to solve the control problems with disturbances.In this paper we consider the ploy-chamber model of the endocrine disruptor-Diethylstibestrol（DES）-moving in a human body.We extend the existed linear model to the nonlinear model with disturbances and find a feedback controller by H∞ control.

关键词： H∞control Biological Complex System DES feedback controller

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Anti-control of Hopf bifurcation creation off an unstable equilibrium point

Anti-control of Hopf bifurcation creation off an unstable eq...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动...

作者：王志搴 TANG Jia-shi College of Civil Engineering and Mechanics Central South University of Forestry and Technology College of Mechanical and Vehicle Engineering Hunan University

In this paper,we investigate the anti-control of Hopf bifurcations.It is known that anti-control of bifurcations plays an important role in some practical application,such as warning signals of impending collapse or other power system.The washout-filter-aided controller has great application value in the application.To create a Hopf bifurcation off an unstable fixed point by using the washout-filter-aided controller alone is impossible.In this study,we want to introduce a Hopf bifurcation at an designed unstable equilibrium point.Following,a feedback controller and washout-filter-aided controller are employed together to deal with the problem.At last,according to the Poincare map and expansion method of power series,we can prove the advantage of using washout-filter-aided controller to obtain a certain Hopf bifurcation at the needed location.Consider a simple one-dimensional system f(x;μ) = x+μx.where μcontroller alone.Hence,we can use a feedback controller to stabilize the unstable equilibrium point firstly.The Eq.(1) can be rewritten as:x = f(x,u;μ) = x+μx + u,where u = kx + kx,u is the feedback controller which we want to design.Now,the next step that we want to do is to make sure the coefficients of k and k that stabilize the new equilibrium points.By employ a feedback controller,we can stabilize the equilibrium point before using the washout-filter-aided controller which is a form of dynamic feedback preserves all system equilibria.Hence,the one-dimensional system with a washout-filter-aided controller can be described in this form:x=f(x,u;μ)+w(y),u has been designed in the previous study which can be described as w(y) = kx + kx.Then,by using washout-filter-aided dynamic feedback controller,a Hopf bifurcation is created with needed location and preferable properties.

关键词： Anti-controlling bifurcation Poincare section feedback controller fixed point

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