Non-fragile robust guaranteed cost output feedback control of the switched systems with multiple time delays

The non-fragile robust guaranteed cost output feedback control problem is investigated for the switched discrete-time systems with polytopic uncertainties and multi delays in states and inputs. By applying the piecewise quadratic Lyapunov functions and the cone complementarity linearization algorithm, the synthesis method is developed for the delay dependent non-fragile robust guaranteed cost output feedback control laws. By the obtained control laws, the perturbed switched discrete time systems can be asymptotically stabilized under the arbitrary switching signals and the close loop cost is not greater than a specified upper bound for all admissible uncertainties. The numerical example shows the validity of the proposed method.