Observer-based robust control for discrete-time positive switched systems

This paper investigates the problem of control synthesis for discrete-time positive switched systems with interval parameter uncertainties using state-bounding observers. Firstly, an interval observer is constructed to estimate the actual state of the underlying systems. Then a feedback controller based on the designed observer is proposed to stabilize the system under consideration. Using the average dwell time approach, a sufficient condition for the existence of such controller is established. Finally, a numerical example is presented to explicitly demonstrate the effectiveness and feasibility of the proposed method.