Stability properties of reset systems

Abstract

Stability properties for a class of reset systems, such as systems containing a Clegg integrator, are investigated. We present Lyapunov based results for verifying L and exponential stability of reset systems. Our results generalize the available results in the literature and can be easily modified to cover L stability for arbitrary p ∈ [1;∞]. Several examples illustrate that introducing resets in a linear system may reduce the L gain if the reset controller parameters are carefully tuned. Copyright © 2005 IFAC. 2 p 2