Robust stabilization for a class of uncertain discrete-time switched systems via output feedback

The problem of robust stabilization for a class of uncertain discrete-time switched systems via observer-based output feedback is investigated. Using multiple Lyapunov functions method and matrix inequality technique, the sufficient conditions of stabilizing the uncertain switched systems via observer-based switching and observer-based output feedback are derived. The parameterized characterizations of the observer and output feedback controller are provided and the corresponding switching strategy is constructed to guarantee stability. Finally, an example is given to illustrate the effectiveness of the proposed methods.