L 2-based static output feedback controller design for a class of polytopic systems with actuator saturation

Abstract

This paper presents a robust (Formula presented.) -based Static Output Feedback (SOF) controller design for a class of linear continuous-time polytopic systems subject to actuator saturation, which is a feature common to vast industrial processes. New sufficient LMI conditions are derived for the design of SOF controllers using parameter-dependent Lyapunov function. The development incorporates the decomposition of an auxiliary matrix variable so that approximation in deducing the LMIs involve reduced-size matrices. In addition, (Formula presented.) performance under the constraint of actuator saturation is considered to develop a framework of a considerably complete problem. Several design cases are taken to demonstrate the efficacy of the proposed method. Moreover, the completeness of the design is illustrated through experimental results on a twin-rotor MIMO system, and comparison of the results is presented with those existing in the literature. © 2021 Informa UK Limited, trading as Taylor & Francis Group.