Static output-feedback control of time-delayed LPV systems under actuator saturation

Márcia L. C. Peixoto; Pedro H. S. Coutinho; Paulo S. P. Pessim; Márcio J. Lacerda; Marcos Flávio S. V. D’Angelo; Reinaldo M. Palhares

doi:10.20906/SBAI-SBSE-2023/3806

Márcia L. C. Peixoto Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Minas Gerais
Pedro H. S. Coutinho Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Minas Gerais
Paulo S. P. Pessim Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Minas Gerais
Márcio J. Lacerda Department of Electrical Engineering, Federal University of São João del-Rei, São João del-Rei, Minas Gerais
Marcos Flávio S. V. D’Angelo Department of Computer Science, UNIMONTES, Montes Claros, MG
Reinaldo M. Palhares Department of Electronics Engineering, Federal University of Minas Gerais, Belo Horizonte, Minas Gerais

DOI: https://doi.org/10.20906/SBAI-SBSE-2023/3806

Keywords: Static output-feedback control, linear parameter-varying systems, time-varying delay, saturation, linear matrix inequalities

Abstract

This paper presents a novel delay-dependent condition for static outputfeedback (SOF) control of discrete-time linear parameter-varying (LPV) systems with timevarying delay and actuator saturation. The SOF control design conditions are obtained by employing Lyapunov-Krasovskii stability arguments. To ensure the correct operation of the closed-loop system, a region of admissible initial conditions is determined by solving an optimization problem. A numerical example is presented to illustrate the potential and effectiveness of the proposed conditions.