Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays

2009 ◽  
Vol 7 (3) ◽  
pp. 357-364 ◽  
Author(s):  
Jong-Hae Kim
Keyword(s):  
Cost Control ◽  
Singular Systems ◽  
Guaranteed Cost Control ◽  
Time Varying ◽  
Guaranteed Cost ◽  
Uncertain Singular Systems ◽  
State And Input Delays ◽  
Input Delays ◽  
Delay Dependent

RobustH∞guaranteed cost control for discrete-time switched singular systems with time-varying delay

2018 ◽  
Vol 40 (1) ◽  
pp. 119-140 ◽  
Author(s):  
Mohamed Amin Regaieg ◽  
Mourad Kchaou ◽  
Ahmed El Hajjaji ◽  
Mohamed Chaabane
Keyword(s):  
Discrete Time ◽  
Cost Control ◽  
Singular Systems ◽  
Guaranteed Cost Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Varying Delay

An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays

2016 ◽  
Vol 40 (3) ◽  
pp. 785-804 ◽  
Author(s):  
Akshata Tandon ◽  
Amit Dhawan
Keyword(s):  
Cost Control ◽  
Discrete Systems ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Parameter Uncertainties ◽  
Convex Optimization Problem ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

In this paper, we present a solution to the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional(2-D) discrete systems described by the general model (GM) subject to both state and input delays. The parameter uncertainties are assumed norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of non-fragile robust guaranteed cost controller is established. Furthermore, a convex optimization problem with LMI constraints is proposed to select a non-fragile robust optimal guaranteed cost controller stabilizing the uncertain 2-D discrete system with both state and input delays as well as achieving the least guaranteed cost for the resulting closed-loop system. The effectiveness of the proposed method is demonstrated with an illustrative example.

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