Delay-dependent guaranteed cost control for uncertain 2-D discrete systems with state delay in the FM second model

2009 ◽  
Vol 346 (2) ◽  
pp. 159-174 ◽  
Author(s):  
Jianming Xu ◽  
Li Yu
Keyword(s):  
Cost Control ◽  
Discrete Systems ◽  
Guaranteed Cost Control ◽  
State Delay ◽  
Guaranteed Cost ◽  
Delay Dependent

Delay-range-dependent guaranteed cost control for batch processes with state delay

AIChE Journal ◽  
2013 ◽  
Vol 59 (6) ◽  
pp. 2033-2045 ◽  
Author(s):  
Limin Wang ◽  
Shengyong Mo ◽  
Donghua Zhou ◽  
Furong Gao ◽  
Xi Chen
Keyword(s):  
Cost Control ◽  
Guaranteed Cost Control ◽  
Batch Processes ◽  
State Delay ◽  
Guaranteed Cost

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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