Dynamic output feedback stabilization of a class of switched linear systems

In this brief, dynamic output feedback stabilization is investigated for a class of switched linear control systems. Firstly, the switched systems are transformed into the canonical form with a clear system structure. Next, the problem of stabilization via state feedback control is addressed based on the canonical decomposition. Then, a state estimator is introduced to approximate the state vector. Finally, we bring the estimator into the feedback loop and establish the separation property of the overall system. The dynamic output feedback stabilization problem is, thus, solved in a constructive manner.