Admissibility of singular switched systems: LMI formulation
Résumé
This paper concerns the stability and the stabilization of discrete-time singular switched systems. Sufficient conditions for a discrete-time singular switched system to be admissible are expressed in strict Linear Matrix Inequalities (LMIs) terms. Design of state feedback controllers are then proposed in strict LMIs. For more relaxation, slack variables are introduced. These results are extended to static output feedback controller design. Numerical example is given to illustrate the proposed methods.