Switching-function dynamics designs for uncertain variable structure systems with repetitive control

• Published in: International journal of control Vol. 84; no. 7; pp. 1196 - 1208
• Main Authors: Sun, Mingxuan, Xie, Huaying, Wang, Hui
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Abingdon Taylor & Francis Group 01.07.2011; Taylor & Francis; Taylor & Francis Ltd
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; quasi-sliding mode; repetitive control; Studies; switching-function dynamics; variable structure systems; switching-function dynamics; Multimodel control; Variable structure control; Sliding mode; Switching function; Periodicity; Control synthesis; quasi-sliding mode; Periodic perturbation; Closed feedback; Uncertain system; Periodic system; variable structure systems; Repetitive control
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2011.561876

This article is mainly concerned with uncertain systems subject to periodic disturbances with known periodicity, and the methodology of discrete variable structure repetitive control is applied to address the control problem. The notion of quasi-sliding mode (QSM) is reviewed in this article. Switching function dynamics obtained with the proposed repetitive control strategies are desirable to govern both reaching phase and sliding phase. For characterising the switching-function dynamics, detailed estimation results of both attractive layer bound and QSM band are given, with which the repetitive controllers can be designed to ensure closed-loop robust stability, and achieve perfect tracking in the presence of periodic perturbations. As more knowledge about the periodicity is known, partial-period repetitive control schemes are presented for reducing memory occupation. Numerical simulation and experiment are carried out to verify the theoretical results.