Dynamic surface control for a class of state-constrained non-linear systems with uncertain time delays

• Published in: IET control theory & applications Vol. 6; no. 12; pp. 1948 - 1957
• Main Authors: WU, X.-J, WU, X.-L, LUO, X.-Y, GUAN, X.-P
• Format: Journal Article
• Language: English
• Published: Stevenage Institution of Engineering and Technology 01.08.2012; John Wiley & Sons, Inc
• Subjects: Applied sciences; Asymptotic properties; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; System theory; Chaos; Barrier function; Non linear control; Tracking task; Delay system; Non linear system; Function approximation; Backstepping control; Asymptotic stability; Uncertain system; Low pass filter; Delay time; Output feedback; State constraint; Lyapunov function
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2011.0543

The problem of tracking control for a class of uncertain time-delay non-linear system with state constraint is addressed. To prevent constraint violation, the tangent barrier Lyapunov function (TBLF) is firstly used for time-delay nonlinear system. By ensuring boundedness of the TBLF in the closed loop, besides those limits are not transgressed, the authors also tackle scenarios wherein parametric uncertainties and time delays are presented. Asymptotically tracking stable in the sense of uniformly ultimate boundedness is achieved without violation of the constraint. Finally, the performance of the proposed control has been illustrated through a chaotic system. [PUBLICATION ABSTRACT]