Observer Design for a Class of Switched Systems

The main contribution of this paper is a new approach to the design of state observers for a class of switched systems. This class of systems allows for switching among Linear Parameter Varying (LPV) systems affected by unmeasurable input/output disturbances. The proposed observers have guaranteed performance even during the switching transient, and "mitigate" the effect of unmeasured disturbance. Moreover, it is shown that observer design can be done using linear programming. Finally, a numerical example is presented which shows the efficacy of the proposed approach.