An LMI-based L2 gain performance analysis for reset control systems

In this paper we present a general LMI-based analysis method to determine an upperbound on the L₂ gain performance of a reset control system. These computable sufficient conditions for L₂ stability, based on piecewise quadratic Lyapunov functions, are suitable for all LTI plants and linear-based reset controllers, thereby generalizing the results available in literature. Our results furthermore extend the existing literature by including tracking and measurement noise problems by using strictly proper input filters. We illustrate the approach by a numerical example.