Output Feedback Control for a Class of Piecewise Linear Systems

In this paper we present an output feedback controller design method for a class of bi-modal piecewise linear systems. The proposed output feedback controller consists of a switching state observer and a static state feedback. The observer and the controller are designed separately using the concept of input-to-state stability (ISS). A sufficient small gain condition is derived that guarantees global asymptotic stability of the system in closed loop with the designed observer and state feedback. The derived theory is illustrated by an example.