Anti-windup controller design for singularly perturbed systems subject to actuator saturation

• Published in: IET control theory & applications Vol. 10; no. 4; pp. 469 - 476
• Main Authors: Yang, Chunyu, Zhang, Lingli, Sun, Jing
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 26.02.2016
• Subjects: actuator saturation; Actuators; Anti-windup; antiwindup controller design; AW controller design; Brief Papers; compensation; Compensators; control nonlinearities; control system synthesis; Controllers; convex optimisation problem; convex programming; Design engineering; dynamic state feedback controller; Dynamical systems; Dynamics; linear matrix inequalities; Saturation; singular perturbation parameter; singularly perturbed systems; stability; stability bound; state feedback; two‐stage design method; ε‐independent AW compensator; ε‐independent DSF controller; ε-independent DSF controller; singularly perturbed systems; dynamic state feedback controller; convex optimisation problem; AW controller design; stability bound; control system synthesis; convex programming; linear matrix inequalities; control nonlinearities; singular perturbation parameter; state feedback; compensation; actuator saturation; antiwindup controller design; two-stage design method; ε-independent AW compensator; stability
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2015.0189

This study considers the problem of anti-windup (AW) controller design for singularly perturbed systems with actuator saturation. The AW controller consists of a dynamic state feedback (DSF) controller and an AW compensator. A convex optimisation problem in terms of linear matrix inequalities is formulated to simultaneously design both the DSF controller and the AW compensator. The resulting AW controller depends on the singular perturbation parameter ɛ and is shown to be well-conditioned for any ɛ of interest. Furthermore, a two-stage design method is proposed to handle the case that ɛ is unknown. An ɛ-independent DSF controller is designed at the first stage, and then an ɛ-independent AW compensator is constructed by solving a convex optimisation problem. Both of the methods can achieve a desired stability bound and enlarge the basin of attraction at the same time. Finally, examples are given to show the advantages and effectiveness of the obtained results.