Robust Observer Design for a Class of Switched Systems

The main contribution of this paper is an algorithm for the design of state observers for a class of switched systems. The state observers designed allow for switching among linear parameter varying (LPV) systems affected by structured uncertainty and unmeasurable input/output disturbances. The proposed observers have guaranteed performance even during the switching transient, and "mitigate" the effect of structured uncertainty and unmeasured disturbances. Moreover, it is shown that the observer design problem can be reduced to a convex optimization problem. Finally, a numerical example is presented which shows the efficacy of the proposed approach