Observer-based control design via LMIs for a class of switched discrete-time linear systems with parameter uncertainties

This paper deals with observer-based controllerdesign method via Linear Matrix Inequalities (LMIs) for a classof switched discrete-time linear systems. The main contributionconsists in providing different scenarios of the use of Finsler’sLemma to reduce the conservatism of some previous resultsin the literature. Thanks to this scenarios and the use of someother new mathematical tools, one of the objectives of this paperis to open new research directions for other control designproblems. The validity and effectiveness of the proposed designmethodologies are shown through a numerical example