Output feedback reset control of general MIMO LTI systems

Abstract

This paper presents a systematic Lyapunov-based approach for output-feedback reset control of linear time-invariant (LTI) systems with a general multiple-input multiple-output (MIMO) configuration. The reset controller consists of a base linear controller and a reset law that enforces resets to the controller states. Based on the extended Lyapunov-like function (ELF) technique, the reset controller with guaranteed exponential stability and weighted L2-gain performance is synthesized by solving a set of linear matrix inequalities (LMIs) with linear search over two scalar variables. A numerical example is used to illustrate the effectiveness of the proposed approach.