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

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.