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

摘要

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.