Guaranteed cost control of discrete-time uncertain systems with both state and input delays

2016 ◽  
Vol 89 (10) ◽  
pp. 2073-2082 ◽  
Author(s):  
Éva Gyurkovics
Keyword(s):  
Discrete Time ◽  
Uncertain Systems ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

A BMI approach to guaranteed cost control of discrete-time uncertain system with both state and input delays

2014 ◽  
Vol 36 (6) ◽  
pp. 844-852 ◽  
Author(s):  
Xiaojun Zhou ◽  
Tianxue Dong ◽  
Xiaolin Tang ◽  
Chunhua Yang ◽  
Weihua Gui
Keyword(s):  
Discrete Time ◽  
Cost Control ◽  
Uncertain System ◽  
Guaranteed Cost Control ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

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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