Stabilizability of Uncertain Switched Systems via Static/Dynamic Output Feedback Sliding Mode Control

The output feedback stabilizability problem of a class of uncertain switched systems is investigated using sliding mode control and a synthesis design solution derived. Firstly, a common sliding surface is constructed such that the system restricted to the sliding surface is asymptotically stable and completely invariant to matched and mismatched uncertainties under arbitrary switching. Secondly, static and dynamic output feedback variable structure controllers are designed that can drive the state of the switched system to reach the common sliding surface in finite time and remain them thereafter. A illustrative example is given to demonstrate the effectiveness of the proposed method.