Event-triggered Control for Discrete-time Saturated LPV Systems using a Partially-dependent Dynamic Output Controller

Carla de Souza; Valter J. S. Leite; Eugênio B. Castelan

doi:10.20906/CBA2022/3338

Carla de Souza LAAS-CNRS, Toulouse
Valter J. S. Leite Department of Mechatronics Engineering, CEFET–MG, Divinópolis, MG
Eugênio B. Castelan Department of Automation and Systems Engineering, DAS/CTC/UFSC, Florianópolis, SC

DOI: https://doi.org/10.20906/CBA2022/3338

Keywords: Event-based control, Systems with saturation, Linear parameter-varying systems, Output feedback control, Lyapunov methods

Abstract

In this paper, we propose an event-triggered control strategy based on a dynamic output-feedback controller for stabilizing discrete-time linear parameter-varying (LPV) sys- tems. Such a controller has an anti-windup term and is partially dependent on time-varying parameters. To economize the limited network resources, two event generators are introduced on the sensor-to-controller and controller-to-actuator channels. They decide whether the current output measurement and control input should be sent through the network or not. Sufficient conditions in terms of linear matrix inequalities (LMIs) are provided to ensure the regional asymptotic stability of the closed-loop system and estimate its domain of attraction. The transmission activity is indirectly reduced thanks to appropriate optimization procedures. A numerical example testifies the efficiency of the proposed methodology.