Switched discrete-time systems with time-varying delays: A generalized H2 approach

Authors:
Magdi S. Mahmoud
Affiliations:
Systems Engineering Department, King Fahd University of Petroleum and Minerals, P.O. Box 985, Dhahran 31261, Saudi Arabia
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

In this paper, we investigate the delay-dependent performance analysis and control synthesis of a class of linear discrete-time hybrid systems with time-varying delays. We employ hybrid Lyapunov-Krasovskii functionals to establish the desired results under arbitrary switching. A generalized H"2 approach is adopted and new parameterized linear matrix inequalities (LMIs) characterization are developed to guarantee the delay-dependent asymptotic stability. Design of generalized H"2 state feedback and dynamic output-feedback controllers are subsequently constructed. A numerical example is solved in detail to illustrate the theoretical developments.