Enlarging the domain of attraction and maximising convergence rate for delta operator systems with actuator saturation

• Published in: International journal of control Vol. 88; no. 10; pp. 2030 - 2043
• Main Authors: Yang, Hongjiu, Zhang, Luyang, Shi, Peng, Hua, Changchun
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.10.2015; Taylor & Francis Ltd
• Subjects: actuator saturation; Actuators; Attraction; Control systems; Control theory; Convergence; convergence rate; Delta operator system; domain of attraction; Ellipsoids; Expansion; lifting technique; Linear operators; Ratio analysis; Saturation
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2015.1027954

In this paper, we present some new approaches to improve the feedback property of delta operator systems with actuator saturation. Both enlarging the domain of attraction and maximising the convergence rate are the desired feedback properties. The lifting technique is used to enlarge the domain of attraction for the delta operator systems subject to actuator saturation. The maximisation of convergence rate is realised by designing control gain inside a given ellipsoid. A necessary and sufficient condition is proposed for the contractive invariance of the given ellipsoid. Simulation results are provided to demonstrate the effectiveness of the developed techniques.