Observer-based guaranteed cost control scheme for polytopic uncertain systems with state delays

This paper deals with a design problem of an observer-based guaranteed cost controller for polytopic, uncertain systems with state delays. In this approach, firstly a full order observer is designed and next a feedback controller ensuring an upper bound on a given quadratic cost function is derived. In this paper, we show that sufficient conditions for the existence of the observer-based guaranteed cost controller are given in terms of linear matrix inequalities (LMIs). Additionally, we deal with a design problem of a sub-optimal observer-based guaranteed cost controller. Finally, a numerical example is included.