μ-Dependent model reduction for uncertain discrete-time switched linear systems with average dwell time

In this paper, the model reduction problem for a class of discrete-time polytopic uncertain switched linear systems with average dwell time switching is investigated. The stability criterion for general discretetime switched systems is …rst explored, and a -dependent approach is then introduced for the considered systems to the model reduction solution. A reduced-order model is constructed and its corresponding existence conditions are derived via LMI formulation. The admissible switching signals and the desired reduced model matrices are accordingly obtained from such conditions such that the resulting model error system is robustly exponentially stable and has an exponential H1 performance. A numerical example is presented to demonstrate the potential and e¤ectiveness of the developed theoretical results.