Robust H, Control and Quadratic Stabilization of Uncertain Switched Linear Systems

Abslrut-In this paper, we focus on the robust H, control analysis and synthesis for uncertain switched linear systems. It is shown that tbe quadratic stability of one associated non-switched uncertaim combination linear system implies the feasibility of H, control problem for 80 uncertain switched linear system. Then, the rohnst H, control synthesis vla switched state feedback is studied. A switched state fdback controller is designed to quadratically stabilize the plant, and acbieve a prescribed distnrbance attenuation level 7 for all admissible uncertainties simultanenusly. AU the results in this paper can be regarded as an extension of some existing resuits for both switched and non-switched systems.

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