Robust guaranteed cost control for discrete-time systems via partially delay-dependent controller with linear fractional uncertainties

Complexity ◽  
2016 ◽  
Vol 21 (S2) ◽  
pp. 113-122 ◽  
Author(s):  
Balasubramaniam Pagavathigounder ◽  
Nishanthi Dhanasekaran ◽  
Jarina Banu Liyakath Ali
Keyword(s):  
Discrete Time ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Discrete Time Systems ◽  
Guaranteed Cost ◽  
Delay Dependent ◽  
Time Systems

Delay-Dependent Non-Fragile Robust Guaranteed Cost Control for Switched Systems with Multiple Time Delays

2011 ◽  
Vol 128-129 ◽  
pp. 109-112
Author(s):  
Ni Zhang ◽  
Mei Chun Fu ◽  
Tao Zou
Keyword(s):  
Discrete Time ◽  
Cost Control ◽  
Controller Design ◽  
Guaranteed Cost Control ◽  
Multiple Time ◽  
Discrete Time Systems ◽  
Quadratic Lyapunov Functions ◽  
Guaranteed Cost ◽  
Delay Dependent ◽  
Time Systems

The non-fragile guaranteed cost control is discussed for the polytopically uncertain switched discrete time systems with multi-delays in states and inputs. Based on the piecewise quadratic Lyapunov functions, the synthesis approach of the delay-dependent non-fragile guaranteed cost controllers is proposed. By the obtained control law, the perturbed switched discrete time systems can be asymptotically stabilized and the close loop cost is not greater than a specified upper limit for all admissible uncertainties. The numerical example is given to illustrate the validity of the presented controller design method.

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