Anti‐windup design for time‐delay systems via generalised delay‐dependent sector conditions. Issue 10 (5th April 2017)

• Record Type: Journal Article
• Authors: Chen, Yonggang; Li, Yongmin; Fei, Shumin
• Is Part Of: IET control theory & applications. Volume 11:Issue 10(2017)
• Page Start: 1634
• Page End: 1641
• Publication Date: 2017-04-05
• Subjects: delay systems -- control nonlinearities -- control system synthesis -- linear matrix inequalities -- actuators -- Lyapunov methods -- linear systems; antiwindup design -- generalised delay‐dependent sector conditions -- linear time‐delay systems -- actuator saturation -- augmented Lyapunov‐Krasovskii functionals -- improved delay‐dependent sufficient conditions -- saturated time‐delay systems -- linear matrix inequalities; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2016.0785
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.