Fault detection observer-based controller design for 2D continuous switched systems

This paper deals with the problem of fault detection and state estimation in an observer-based controller framework for two dimensional (2D) continuous time switched systems described by Roesser model. The aim of this paper is to estimate the state and sensor fault and to stabilize the 2D system by an observer-based controller where the estimation of the state is used by the controller. The Lyapunov theory is then applied to establish two conditions in the form of matrix inequalities allowing the design of the observer-based controller. The two conditions have to be solved sequentially since the observer condition depends on the solution of the controller condition. A numeric example is provided in order to illustrate the effectiveness of our results.