Tracking control of uncertain nonlinear systems with deferred asymmetric time-varying full state constraints. (December 2018)

• Record Type: Journal Article
• Authors: Song, Yong-Duan; Zhou, Shuyan
• Is Part Of: Automatica. Volume 98(2018)
• Page Start: 314
• Page End: 322
• Publication Date: 2018-12
• Subjects: Robust adaptive control -- Strict-feedback nonlinear systems -- Deferred and time-varying state constraints -- Error-shifting transformation; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.09.032
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this paper, we investigate the tracking control problem of uncertain strict-feedback systems under deferred and asymmetric yet time-varying (DATV) constraints. We show that such type of constraints, occurring some time after (rather than from the beginning of) system operation, are frequently encountered in practice that have not been adequately addressed in existing works. By utilizing an error-shifting transformation, together with a new asymmetric Barrier Lyapunov Function with variational barrier bounds, we develop a tracking control method capable of dealing with DATV full state constraints under completely unknown initial tracking condition, leading to a control solution to the underlying problem. We also show that, with the proposed method, full state constraints being violated initially (rendering the previous methods inapplicable) can be made satisfied within a pre-specified finite time. The benefits and effectiveness of the proposed control are theoretically authenticated and numerically validated.