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 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.

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

scholarly journals A Delta Operator Approach for the Discrete-Time Active Disturbance Rejection Control on Induction Motors

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
John Cortés-Romero ◽  
Alberto Luviano-Juárez ◽  
Hebertt Sira-Ramírez
Keyword(s):  
Discrete Time ◽  
Disturbance Rejection ◽  
Induction Motors ◽  
Controller Design ◽  
Delta Operator ◽  
Active Disturbance Rejection Control ◽  
Operator Approach ◽  
Time Control ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control

The problem of active disturbance rejection control of induction motors is tackled by means of a generalized PI observer based discrete-time control, using the delta operator approach as the methodology of analyzing the sampled time process. In this scheme, model uncertainties and external disturbances are included in a general additive disturbance input which is to be online estimated and subsequently rejected via the controller actions. The observer carries out the disturbance estimation, thus reducing the complexity of the controller design. The controller efficiency is tested via some experimental results, performing a trajectory tracking task under load variations.

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
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