Stability analysis of delayed reset systems with distributed state resetting

Abstract

Abstract In this paper, the author studies the stability of delayed reset control systems with distributed state resetting. First, the concept of distributed state reset is proposed which is capable of compensating for the performance deterioration caused by time delays. Second, a sufficient condition for asymptotical stability based on the Lyapunov–Krasovskii functional method is proved, and a sufficient condition in terms of LMIs to ensure asymptotical stability of reset systems with piecewise constant reset mappings is obtained. Last, an illustrative example is provided to show that compared to the traditional reset scheme, the proposed distributed state reset scheme is potentially capable of achieving better performance.