Anti-windup design for time-delay systems via generalised delay-dependent sector conditions

• Published in: IET control theory & applications Vol. 11; no. 10; pp. 1634 - 1641
• Main Authors: Chen, Yonggang, Li, Yongmin, Fei, Shumin
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 23.06.2017
• Subjects: actuator saturation; actuators; antiwindup design; augmented Lyapunov‐Krasovskii functionals; Brief Paper; control nonlinearities; control system synthesis; delay systems; generalised delay‐dependent sector conditions; improved delay‐dependent sufficient conditions; linear matrix inequalities; linear systems; linear time‐delay systems; Lyapunov methods; saturated time‐delay systems; delay systems; improved delay-dependent sufficient conditions; control system synthesis; linear systems; actuators; linear matrix inequalities; control nonlinearities; generalised delay-dependent sector conditions; antiwindup design; actuator saturation; augmented Lyapunov-Krasovskii functionals; saturated time-delay systems; linear time-delay systems; Lyapunov methods
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2016.0785

This study is concerned with the anti-windup design problem for linear time-delay systems with actuator saturation. By utilising the information of the time delay sufficiently, the authors first propose the generalised delay-dependent sector conditions. Then, based on the novel sector conditions, augmented Lyapunov–Krasovskii functionals and several integral inequalities, improved delay-dependent sufficient conditions are established for saturated time-delay systems in terms of linear matrix inequalities, which ensure the existence of the anti-windup gain. Finally, numerical examples demonstrate the effectiveness and the reduced conservatism of the results in this study.