Generalized H2 control of switched discrete-time systems with unknown delays

The generalized H2 control problem for a class of linear discrete-time switched systems with constant unknown delays is investigated. New linear matrix inequalities (LMIs) characterization based on switched Lyapunov-Krasovskii functional are established to guarantee the asymptotic stability and generalized H2 performance. Design of generalized H2 state feedback and dynamic output-feedback controllers are developed. A numerical example is worked out in detail to illustrate the theoretical developments.