H∞ state feedback control design of discrete-time switched linear systems

This paper deals with the co-design of a state dependent switching function and a set of state feedback gains for discrete-time switched linear systems. The results are based on a new sufficient condition for exponential stabilizability described in terms of linear matrix inequalities (LMIs) and take into account an H-infinity performance index. Whenever the external input is available, a novel state-input dependent switching rule is proposed. Compared to other available design procedures, the present one is more amenable for control synthesis purposes and simpler from both theoretical and numerical viewpoints. Some examples borrowed from the recent literature are used for comparisons and illustration.