Delay-dependent H∞ Controller Design for Discrete Switched System: an Average Dwell Time Approach

This study involves problem of state feedback controller (SFC) design for switched systems with time varying delay. The essential objective is to create a state feedback controller with a switching rule assuring the robust exponential stability and guarantee an H ∞ performance of the resulting closed loop hybrid system. Applying Average Dwell Time (ADT) approaches and using appropriate Lyapunov Krasovskii functional (LKf), LMI-based criterion is developed to deal with problem H ∞ analysis and synthesis. Simulation examples including the comparisons are relevant to expose the merit of the designed technique.