Stabilizing a class of uncertain switched linear systems via observer-based output feedback

The problem of stabilizing a class of uncertain switched linear 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 linear systems via observer-based output feedback are derived. The parameterized characterization of the observer and output feedback controller is provided and the corresponding switching strategy is constructed to guarantee stability. Furthermore, the specific algorithm is provided. Finally, an example is given to illustrate the effectiveness of the proposed methods.