Switching Control for a Class of Switched Fuzzy Systems

2014 ◽  
Vol 945-949 ◽  
pp. 2547-2550
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
Function Method ◽  
Closed Loop ◽  
Switching Control ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Main Condition ◽  
Switching Strategy ◽  
Lyapunov Function Method

A switching control of uncertain switched fuzzy systems is presented. In this model, each subsystem of switched system is an uncertain fuzzy system. Using Multiple Lyapunov function method and switching technique, the relevant closed-loop system is asymptotically stable for all allowable uncertainties. Moreover, switching strategy achieving system global asymptotic stability of the uncertain switched fuzzy system is given. The main condition is given in form of LMI which are more solvable. A simulation shows the feasibility and the effectiveness of the method.

Observer-Based Control of a Class of Switched Fuzzy Systems

2014 ◽  
Vol 945-949 ◽  
pp. 2539-2542
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Fuzzy System ◽  
Fuzzy Systems ◽  
Function Method ◽  
State Feedback ◽  
Closed Loop ◽  
External Disturbance ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Lyapunov Function Method ◽  
Switching State

For the non-measurable states, a control of switched fuzzy systems is presented based on observer. Using switching technique and multiple Lyapunov function method, the fuzzy observer is built to ensure that for all allowable external disturbance the relevant closed-loop system is asymptotically stable. Moreover, switching strategy achieving system global asymptotic stability of the switched fuzzy system is given. In this model, a switching state feedback controller is presented. A simulation shows the feasibility and the effectiveness of the method.

Delay-Dependent H2/H∞ Control for a Class of Switched T-S Fuzzy Systems with Time-Delay

2011 ◽  
Vol 204-210 ◽  
pp. 1197-1202 ◽  
Author(s):  
Yue Quan Yang ◽  
Jian Mei Jiang ◽  
Tian Ping Zhang ◽  
Yang Yi ◽  
Qing Zhu
Keyword(s):  
Time Delay ◽  
Fuzzy System ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Fuzzy Controller ◽  
Sufficient Condition ◽  
Asymptotically Stable ◽  
Switching Law ◽  
And Performance ◽  
Delay Dependent

Delay-dependent H2/H∞ control is studied for a class of switched T-S fuzzy systems. The sufficient condition for delay-dependent asymptotical stability H2 and H∞ and performance of the closed-loop switched T-S fuzzy system are derived. Meanwhile, a switching law and fuzzy controller are designed respectively. Moreover, an optimal problem corresponding with time-delay is provided, and an upper bound of time-delay which ensures the system asymptotically stable is obtained using employing MatLab LMI toolbox. Finally, the effectiveness of the proposed method is demonstrated by a numerical example.

Output Feedback Control for a Class of Switched Fuzzy Systems

2014 ◽  
Vol 536-537 ◽  
pp. 1170-1173
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Loop System ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Switching Law

The output feedback control problem is addressed for a class of switched fuzzy Systems. Using multiple Lyapunov function method and switching law, the relevant closed-loop system is asymptotically stable, with the switching law designed to implement the global asymptotic stability. The sufficient conditions to ensure the output feedback asymptotically stable output feedback control of closed-loop system are studied. The sufficient condition is transformed into Linear Matrix Inequality (LMI) problem which are more solvable. Finally, a numerical simulation example is employed to illustrate the effectiveness and the convergence of the design methodologies.

Output Feedback Control for a Class of Uncertain Fuzzy System by Controller Switching

2013 ◽  
Vol 397-400 ◽  
pp. 1341-1344
Author(s):  
Huan Huan Lü ◽  
Hong Yang
Keyword(s):  
Output Feedback ◽  
Lyapunov Functions ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Output Feedback Control ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Class Model ◽  
Theoretical Derivation ◽  
Switching Method

Fuzzy control does not have a precise mathematical model, but it is a very effective way to deal with complex systems stability problems. Firstly, a class of uncertain fuzzy systems is given, and in this class model the parallel distributed compensation (PDC) controller switching method is introduced. Next, the methods of single Lyapunov function and multi Lyapunov functions are respectively used to obtain the conditions which make the closed-loop system asymptotically stable. Finally using the MATLAB/SIMULINK software to simulate, verify the feasibility and effectiveness of the theoretical derivation.

Stabilization Control with Optimal L1-Gain and L∞-Gain for Positive T-S Fuzzy Systems

2019 ◽  
Vol 27 (06) ◽  
pp. 881-903
Author(s):  
Jiaxian Wang ◽  
Junmin Li
Keyword(s):  
Fuzzy Systems ◽  
Closed Loop ◽  
Fuzzy Controller ◽  
Fuzzy Model ◽  
Positive System ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Stabilization Control ◽  
Static Output ◽  
Theoretical Results

In this paper, the problem of stabilization with optimal L1-gain for positive T-S fuzzy systems is investigated with the use of linear Lyapunov function. A T-S fuzzy model for positive nonlinear system is established to study the stabilization control for the positive system. Sufficient condition for stabilization is presented in term of linear programming. The static output-feedback fuzzy controller is constructed to guarantee that the closed-loop system is controlled positive, asymptotically stable and the L1-gains from the exogenous inputs to the regulated output is minimized, respectively. Moreover, the stabilization problem with optimal L∞-gain for positive T-S fuzzy systems is solved. Finally, three examples are presented to show the effectiveness of the theoretical results.

Trajectory tracking control of electric sail with input uncertainty and saturation constraint

2016 ◽  
Vol 39 (7) ◽  
pp. 1007-1016 ◽  
Author(s):  
Yu Wang ◽  
Bingxiu Bian
Keyword(s):  
Solar Wind ◽  
Trajectory Tracking ◽  
Closed Loop ◽  
Sliding Mode ◽  
Input Saturation ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Saturation Constraints ◽  
Non Linear System ◽  
Input Saturation Constraints

The electric sail (ES) is a novel propellantless propulsion concept, which extracts the solar wind momentum by repelling the positively charged ions. Due to the difficulty of attitude adjustment by the large flexible structure and the uncertainty of ion density, velocity and electron temperature by solar wind, there exist thrust input uncertainty and saturation with time-varying bounds for ES. The trajectory tracking problem for ES in three-dimensional (3-D) space is studied, and the composite sliding mode control scheme with corresponding guidance strategy is proposed for the single-input–multiple-output (SIMO) non-linear system. The hierarchical sliding surfaces are constructed with an auxiliary design system to analyse the effect of input saturation constraints and decouple the SIMO non-linear system to reduce the control complexity. Also, the disturbance estimation based on a super-twisting algorithm is employed to decrease the switch chattering and improve the system robustness. It is proved that all the sliding mode surfaces are asymptotically stable, and all the signals of the closed-loop system are bounded with input saturation constraints. Furthermore, all the signals are converging to zero and the closed-loop system is asymptotically stable without saturation. Finally, the simulation demonstrates the proposed composite sliding mode control is fit for ES 3-D trajectory tracking.

Robust Reliable Control for a Class of Uncertain Time-Delay Switched Fuzzy Systems Based on Observers Switching

2012 ◽  
Vol 190-191 ◽  
pp. 1175-1178
Author(s):  
Le Zhang ◽  
Hong Yang ◽  
Xiao Dong Liu
Keyword(s):  
Time Delay ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Original System ◽  
System Stability ◽  
Reliable Control ◽  
Closed Loop System ◽  
Residual Part ◽  
Robust Reliable Control ◽  
Uncertain Time

It is presented a model of uncertain time-delay switched fuzzy systems, which each subsystem of switched system is an uncertain time-delay fuzzy system. The robust reliable control problem is studied by multi-Lyapunov functions. When the actuators are serious failure – the residual part of actuators can not make original system stability, using switching technique depend on the states of observers, robust fuzzy reliable controller is built to ensure the relevant closed-loop system is asymptotic stability. The results for example are used to illustrate the feasibility and the effectiveness of the method.

scholarly journals Adaptive Stabilization Control for a Class of Complex Nonlinear Systems Based on T-S Fuzzy Bilinear Model

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Jinsheng Xing ◽  
Naizheng Shi
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Complex Systems ◽  
Closed Loop ◽  
Loop System ◽  
Asymptotically Stable ◽  
Bilinear Model ◽  
Closed Loop System ◽  
Fuzzy Modelling ◽  
Control Scheme

This paper proposes a stable adaptive fuzzy control scheme for a class of nonlinear systems with multiple inputs. The multiple inputs T-S fuzzy bilinear model is established to represent the unknown complex systems. A parallel distributed compensation (PDC) method is utilized to design the fuzzy controller without considering the error due to fuzzy modelling and the sufficient conditions of the closed-loop system stability with respect to decay rateαare derived by linear matrix inequalities (LMIs). Then the errors caused by fuzzy modelling are considered and the method of adaptive control is used to reduce the effect of the modelling errors, and dynamic performance of the closed-loop system is improved. By Lyapunov stability criterion, the resulting closed-loop system is proved to be asymptotically stable. The main contribution is to deal with the differences between the T-S fuzzy bilinear model and the real system; a global asymptotically stable adaptive control scheme is presented for real complex systems. Finally, illustrative examples are provided to demonstrate the effectiveness of the results proposed in this paper.

Adaptive Feedback Control of Stochastic Nonholonomic Systems with Uncertainties

2015 ◽  
Vol 727-728 ◽  
pp. 692-696
Author(s):  
Gui Ling Ju ◽  
Wei Hai Sun
Keyword(s):  
Closed Loop ◽  
Nonholonomic System ◽  
Nonholonomic Systems ◽  
The State ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Output Measurement ◽  
Adaptive Feedback ◽  
Adaptive Feedback Control ◽  
Switching Control Strategy

This paper deals with the adaptive control design of stochastic nonholonomic system with uncertainties. The state-input scaling technique, stochastic Lyapunov-like theorem and back-stepping approach are used to design the feedback controller. The controllers guarantee all states of the closed-loop system are largely asymptotically stable in probability, In order to make the state scaling effective, a new switching control strategy based on the output measurement of the first subsystem is employed.

Switching Control for a Class of Discrete-Time Switched Fuzzy Systems Based on LMI

2014 ◽  
Vol 945-949 ◽  
pp. 2543-2546
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Sufficient Conditions ◽  
Switching Control ◽  
Linear Matrix ◽  
Common Lyapunov Function ◽  
Lyapunov Function Method ◽  
The Common ◽  
The Stability ◽  
Stability Issues

Switching control and stability issues for discrete-time switched systems whose subsystems are all discrete-time fuzzy systems are studied and new results derived. Innovated representation models for switched fuzzy systems are proposed. The common Lyapunov function method has been adopted to study the stability of this class of switched fuzzy systems. Sufficient conditions for asymptotic stability are presented. The main conditions are given in form of linear matrix inequalities (LMIs), which are easily solvable. The elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method.

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