In this paper, the H∞ control problem for linear state-constrained switched systems via the improved mode-dependent average dwell time method is investigated. Using this proposed method, which considers different decay rates of a Lyapunov function related to an active subsystem on the basis of whether there is saturation or not, the resulting minimum admissible mode-dependent average dwell time is smaller than that of the traditional average dwell time method, which assumes a constant decay rate, regardless of whether there is saturation or not. Thus, this method is less conservative than the traditional average dwell time method. In addition, this paper outlines the design of the state feedback controller of the switched systems, which guarantees that the closed-loop linear state-constrained switched system is globally asymptotically stable and obtains a weighted L2 gain. The availability and applicability of the proposed method are shown by the application of a boost converter.
Design of State-Dependent Switching With Dwell Time Constraint for Interval Positive Switched Systems
