Nonlinear control design based on generalized discrete-time Takagi-Sugeno fuzzy systems

2013 ◽  
Author(s):  
Jun Yoneyama ◽  
Yuzu Uchida
Keyword(s):  
Nonlinear Control ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Takagi Sugeno

scholarly journals Less Conservative Fuzzy Control for Discrete-Time Takagi-Sugeno Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
Leonardo Amaral Mozelli ◽  
Reinaldo Martinez Palhares
Keyword(s):  
Fuzzy Control ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Practical Experiment ◽  
Numerical Tests ◽  
Slack Variables ◽  
And Performance ◽  
Takagi Sugeno ◽  
And Control

New analysis and control design conditions of discrete-time fuzzy systems are proposed. Using fuzzy Lyapunov's functions and introducing slack variables, less conservative conditions are obtained. The controller guarantees system stabilization and performance. Numerical tests and a practical experiment in Chua's circuit are presented to show the effectiveness.

A Novel Control Design on Discrete-Time Takagi–Sugeno Fuzzy Systems With Time-Varying Delays

2013 ◽  
Vol 21 (4) ◽  
pp. 655-671 ◽  
Author(s):  
Xiaojie Su ◽  
Peng Shi ◽  
Ligang Wu ◽  
Yong-Duan Song
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Time Varying ◽  
Takagi Sugeno

scholarly journals Control Design for Discrete-Time Fuzzy Systems with Disturbance Inputs via Delta Operator Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Qi Zhou ◽  
Yabin Gao ◽  
Hongyi Li ◽  
Hamid Reza Karimi
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Passive Control ◽  
Control Design ◽  
Linear Matrix ◽  
Delta Operator ◽  
Operator Approach ◽  
New Type ◽  
Existence Conditions ◽  
Takagi Sugeno

This paper is concerned with the problem of passive control design for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay and disturbance input via delta operator approach. The discrete-time passive performance index is established in this paper for the control design problem. By constructing a new type ofLyapunov-Krasovskii function (LKF) in delta domain, and utilizing some fuzzy weighing matrices, a new passive performance condition is proposed for the system under consideration. Based on the condition, a state-feedback passive controller is designed to guarantee that the resulting closed-loop system is very-strictly passive. The existence conditions of the controller can be expressed by linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the proposed method.

Robust Tracking Control for Takagi–Sugeno Fuzzy Systems With Unmeasurable Premise Variables: Application to Tank System

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
H. Ghorbel ◽  
A. El Hajjaji ◽  
M. Souissi ◽  
M. Chaabane
Keyword(s):  
Tracking Control ◽  
Fuzzy Systems ◽  
Design Procedure ◽  
Control Design ◽  
Linear Matrix ◽  
Robust Tracking Control ◽  
Fuzzy Observer ◽  
Tank System ◽  
System States ◽  
Takagi Sugeno

In this paper, a robust fuzzy observer-based tracking controller for continuous-time nonlinear systems presented by Takagi–Sugeno (TS) models with unmeasurable premise variables, is synthesized. Using the H∞ norm and Lyapunov approach, the control design for TS fuzzy systems with both unmeasurable premises and system states is developed to guarantee tracking performance of closed loop systems. Sufficient relaxed conditions for synthesis of the fuzzy observer and the fuzzy control are driven in terms of linear matrix inequalities (LMIs) constraints. The proposed method allows simplifying the design procedure and gives the observer and controller gains in only one step. Numerical simulation on a two tank system is provided to illustrate the tracking control design procedure and to confirm the efficiency of the proposed method.

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