Robust Fault-Tolerant Control for a Class of Uncertain Discrete Time-Delay Systems

2012 ◽  
Vol 532-533 ◽  
pp. 521-526
Author(s):  
De Gong Zhao ◽  
Yue Chao Ma
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequality ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Actuator Failures ◽  
Discrete Time Delay

The problem of robust fault-tolerant control for the uncertain time-delay system with state and control delays is studied.The considered system has sensor or actuator failures.Based on Lyapunov stability theory and linear matrix inequality(LMI),a method of robust fault-tolerant against sensor or actuator failures for uncertain system was proposed via memoryless feedback control law.The sufficient for the closed-loop system possessing integrity against sensor or actuator failures are given.At the same time,the controller design method is the linear matrix inequality(LMI).Finally,the numerical example and simulations demonstrate the validity of the proposed method.

Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems

2013 ◽  
Vol 14 (1) ◽  
pp. 33-44
Author(s):  
Grienggrai Rajchakit
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Discrete Time ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Fast Time ◽  
Time Varying ◽  
Discrete Time Delay ◽  
Stability And Stabilization

Abstract This paper is concerned with asymptotic stability and stabilization of nonlinear uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability and stabilization for the nonlinear uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.

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