Two-Layer Switching Architecture and Switching Rule for Switched Linear Systems

In this paper, we propose a two-layer switching architecture for stabilization of switched linear control systems, under which the mismatched switching between switched systems and their candidate hybrid controllers can be allowed. In low layer, we introduce a state-dependent switching rule with a dwell time constraint to exponentially stabilize switched linear systems. In high layer, we propose supervisory conditions on the asynchronous switching frequency and the asynchronous switching ratio, under which the switched systems are still exponentially stable in case of the candidate controller switched with delays. The two-layer switching architecture is robust with respect to the traditional single-layer switching, which permits the mismatched switching or switching with delays in some extend. Meanwhile, the proposed two-layer switching rule can be solved the problem that none of subsystems can be stabilized in the average dwell time framework.