Full order dynamic output feedback ℋ∞ control for continuous-time switched linear systems

This paper is devoted to the analysis and solution of the output feedback H_∞ control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a full order dynamic linear controller to satisfy a pre-specified H_∞ level defined by the L₂ gains from the input to the output signal. The results reported in this paper are based on the so called Lyapunov-Metzler inequalities which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through an LMI-based method is the main contribution of the present paper. An academic example borrowed from the literature is used for illustration.