Fault Detection for Uncertain Fuzzy Systems Based on the Delta Operator Approach

2013 ◽  
Vol 33 (3) ◽  
pp. 733-759 ◽  
Author(s):  
Hongjiu Yang ◽  
Xuan Li ◽  
Zhixin Liu ◽  
Changchun Hua
Keyword(s):  
Fault Detection ◽  
Fuzzy Systems ◽  
Delta Operator ◽  
Operator Approach

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 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.

Fault-tolerant control for a class of T–S fuzzy systems via delta operator approach

2014 ◽  
Vol 98 ◽  
pp. 166-173 ◽  
Author(s):  
Hongjiu Yang ◽  
Peng Shi ◽  
Xuan Li ◽  
Zhiwei Li
Keyword(s):  
Fuzzy Systems ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Delta Operator ◽  
Operator Approach

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.

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