H∞ Control of Discrete Switched Systems with Time Delay via State Feedback with Memory

The analysis and synthesis of H
∞
control via state feedback with memory for discrete switched systems with time delayH subsystems are studied. Based on multiple Lyapunov functions theory, a new sufficient condition in form of LMI is derived from the H
∞
performance analysis under arbitrary switching. Furthermore, a H
∞
controller via state feedback with memory of switched systems is established, and the result is extended to uncertain switched systems with time delay. Finally, two numerical examples show the feasibility of the designed controller.