On ℋ∞ control design of continuous-time switched linear systems

This paper is devoted to dynamic output feedback H_∞ control design of switched linear systems in continuous-time domain. More specifically, the main purpose is to jointly design a switching rule and a full order dynamic output feedback switched controller that render the associated closed-loop switched linear system globally asymptotically stable and impose a pre-specified upper bound to the H₂ gain from the exogenous input to the controlled output. A key issue is the proposition of a necessary and sufficient condition for the existence of a solution of the Riccati-Metzler inequalities with a pre-specified structure. An illustrative example of practical importance is presented.