Semi-global stabilisation with guaranteed regional performance for delta operator systems subject to actuator saturation

• Published in: IET control theory & applications Vol. 10; no. 10; pp. 1127 - 1133
• Main Authors: Yang, Hongjiu, Zhang, Luyang, Xia, Yuanqing, Li, Li
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 27.06.2016
• Subjects: actuator saturation; Actuators; Attraction; closed loop systems; close‐loop performance; control system synthesis; Control theory; delta operator systems; finite sequence; guaranteed regional performance; Linear operators; Mathematical analysis; null controllable region; original feedback law; Regular Papers; Saturation; semiglobal stabilisation; stability; State feedback; state feedback laws; Unions; semiglobal stabilisation; original feedback law; control system synthesis; close-loop performance; state feedback laws; closed loop systems; null controllable region; actuators; delta operator systems; finite sequence; guaranteed regional performance; state feedback; actuator saturation; stability
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2015.0487

In this study, the domain of attraction is further enlarged for delta operator systems subject to actuator saturation by considering semi-global stabilisation with guaranteed regional performance. An original feedback law is designed to guarantee certain close-loop performance in a fixed region which is a compact subset of the null controllable region. Some fixed regions that cover compact subsets of the null controllable region are obtained by a finite sequence of state feedback laws. The union of all obtained fixed regions is the final domain of attraction for the delta operator systems with actuator saturation. A numerical example is provided to illustrate the effectiveness of the proposed techniques.