Stabilization of uncertain discrete time-delayed systems via delta operator approach

2013 ◽  
Author(s):  
Huijun Gao ◽  
Xiaochen Xie ◽  
Shen Yin ◽  
Okyay Kaynak
Keyword(s):  
Discrete Time ◽  
Delta Operator ◽  
Operator Approach ◽  
Delayed Systems

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 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 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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