Dynamic Observer-based Controller Design for Polytopic LPV Systems

This paper considers the problem of controller design for continuous time LPV systems through dynamic observer (DO). Dynamic observer is an alternative structure for classical observer, which can be regarded as a general form of a usual observer and has additional degrees of freedom in the observer structure. In this paper, first, the idea of dynamic observer in linear systems is extended to continuous time LPV systems and it is shown that DO can be used effectively for tackling the drawbacks of the existing methods of classical observer-based controller design. Strict linear matrix inequality (LMI) conditions are presented for designing observer-based controller. Finally, a numerical example is given to illustrate the proposed approach.