An LMI Approach to Optimal Guaranteed Cost Control of Uncertain 2-D Discrete Shift-Delayed Systems via Memory State Feedback

2012 ◽  
Vol 31 (5) ◽  
pp. 1745-1764 ◽  
Author(s):  
Manish Tiwari ◽  
Amit Dhawan
Keyword(s):  
State Feedback ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Lmi Approach ◽  
Memory State ◽  
Delayed Systems ◽  
Guaranteed Cost ◽  
Memory State Feedback

scholarly journals Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback

2018 ◽  
Vol 41 (1) ◽  
pp. 285-294
Author(s):  
Akshata Tandon ◽  
Amit Dhawan ◽  
Manish Tiwari
Keyword(s):  
Cost Function ◽  
Upper Bound ◽  
State Feedback ◽  
Closed Loop ◽  
Roesser Model ◽  
Memory State ◽  
Delayed Systems ◽  
Discrete State ◽  
Guaranteed Cost ◽  
Memory State Feedback

This paper is concerned with the problem of optimal guaranteed cost control via memory state feedback for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based sufficient condition for the existence of memory state feedback guaranteed cost controllers is established and a parameterized representation of such controllers (if they exist) is given in terms of feasible solutions to a certain LMI. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controllers that minimize the upper bound of the closed-loop cost function. The proposed method yields better results in terms of least upper bound of the closed-loop cost function as compared with a previously reported result.

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