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.

scholarly journals Robust ℋ∞ filtering design for Takagi–Sugeno fuzzy systems with time-varying delay via delta operator approach

2018 ◽  
Vol 10 (1) ◽  
pp. 168781401774539 ◽  
Author(s):  
Min Xu
Keyword(s):  
Fuzzy Systems ◽  
Design Procedure ◽  
Linear Matrix ◽  
Delta Operator ◽  
Time Varying ◽  
Parameter Uncertainties ◽  
Operator Approach ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay

The problem of robust ℋ∞ filtering design for Takagi–Sugeno fuzzy systems with time-varying delay via delta operator approach is investigated. The time-varying delay and parameter uncertainties are assumed to be of an internal-like type and a structured linear fractional form, respectively. Based on a Lyapunov–Krasovskii functional in delta domain, robust ℋ∞ filter scheme is proposed. Then, a sufficient condition is established for the existence of the desired filter in terms of linear-matrix inequalities. A numerical example is provided to illustrate the design procedure of the present 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.

scholarly journals Passivity Analysis and Passive Control for T-S Fuzzy Systems with Leakage Delay and Mixed Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Ting Lei ◽  
Zengshun Chen ◽  
Qiankun Song ◽  
Zhenjiang Zhao
Keyword(s):  
Fuzzy Systems ◽  
Passive Control ◽  
Functional Method ◽  
Leakage Delay ◽  
Linear Matrix ◽  
Time Varying ◽  
The Matrix ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Passivity And Passification

The passivity and passification for Takagi-Sugeno (T-S) fuzzy systems with leakage delay and both discrete and distributed time-varying delays are investigated. By employing the Lyapunov functional method and using the matrix inequality techniques, several delay-dependent criteria to ensure the passivity and passification of the considered T-S fuzzy systems are established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. The obtained results generalize some previous results. Two examples are given to show the effectiveness of the proposed criteria.

Reliable H∞ control design of discrete-time Takagi–Sugeno fuzzy systems with actuator faults

2016 ◽  
Vol 173 ◽  
pp. 1784-1788 ◽  
Author(s):  
Song Deng ◽  
Lechan Yang
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Actuator Faults ◽  
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.

Robust H∞ control for a class of discrete time fuzzy systems via delta operator approach

2012 ◽  
Vol 184 (1) ◽  
pp. 230-245 ◽  
Author(s):  
Hongjiu Yang ◽  
Peng Shi ◽  
Jinhui Zhang ◽  
Jiqing Qiu
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Delta Operator ◽  
Operator Approach

scholarly journals State Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems with Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Ting Lei ◽  
Qiankun Song ◽  
Yurong Liu
Keyword(s):  
State Estimation ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Globally Asymptotically Stable ◽  
Inequality Technique ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Error State

The state estimation problem is investigated for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays. By constructing appropriate Lyapunov-Krasovskii functionals and employing matrix inequality technique, a delay-dependent linear matrix inequalities (LMIs) criterion is developed to estimate the systems state with some observed output measurements such that the error-state system is globally asymptotically stable. An example with simulations is given to show the effectiveness of the proposed criterion.

RelaxedH∞control design of discrete-time Takagi–Sugeno fuzzy systems: A multi-samples approach

2016 ◽  
Vol 171 ◽  
pp. 106-112 ◽  
Author(s):  
Dongsheng Yang ◽  
Xiangpeng Xie
Keyword(s):  
Discrete Time ◽  
Fuzzy Systems ◽  
Control Design ◽  
Takagi Sugeno
Sign in / Sign up

Export Citation Format

Share Document