Robust Control for Uncertain Systems Subject to Actuator Saturation via Sampled-Data H∞ Control Scheme

• Published in: Journal of control, automation & electrical systems Vol. 32; no. 5; pp. 1204 - 1213
• Main Authors: Lamrabet, Ouarda, Tissir, El Houssaine, El Haoussi, Fatima
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2021; Springer Nature B.V
• Subjects: Actuators; Algorithms; Control; Control and Systems Theory; Control stability; Control systems; Electrical Engineering; Engineering; Feedback control; H-infinity control; Linear matrix inequalities; Linear systems; Mathematical analysis; Mechatronics; Optimization; Robotics; Robotics and Automation; Robust control; Saturation; State feedback; Sampled-data control; Time-delay systems; Actuator saturation
• ISSN: 2195-3880; 2195-3899
• DOI: 10.1007/s40313-021-00764-3

This article presents some novel results on robust sampled-data H ∞ control for a class of linear systems. The proposed system is affected by time-delay, actuator saturation and external disturbance. The main goal of this paper is to design a state feedback sampled-data controller to guarantee the stability of the resulting closed-loop system with an H ∞ norm bound performance for any initial condition in a bounded set. The other issue is to estimate and enlarge the region of attraction via an optimization algorithm. The obtained conditions are derived in linear matrix inequalities (LMIs) form. Three numerical examples are presented to show the merits of the proposed method.