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Nonsmooth adaptive control for uncertain nonlinear systems: a non-recursive design approach

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journal contribution
posted on 13.09.2021, 14:28 by Chuanlin Zhang, Jun YangJun Yang
In this letter, a one-step nonsmooth adaptive controller design framework is proposed the first time for a class of nonlinear systems with general non-parametric uncertainties. By virtue of a novel non-recursive synthesis philosophy, a nonsmooth adaptive stabilizer can be constructed straightforwardly from the system in a possible simplest form, which facilitates practical implementations. In reference to well-acknowledged recursive design based approaches, direct improvements with this new non-recursive methodology include largely reduced synthesis complexity along with an essential detachment of control law design and stability analysis. A numerical example is provided to demonstrate both the simplicity and effectiveness of the proposed algorithm.

Funding

National Natural Science Foundation of China under Grant 61503236 and Grant 61973080

Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning

Shanghai Rising-Star program under Grant 20QA1404000

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Published in

IEEE Control Systems Letters

Volume

6

Pages

229 - 234

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Version

AM (Accepted Manuscript)

Rights holder

© IEEE

Publisher statement

© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Acceptance date

01/03/2021

Publication date

2021-03-10

Copyright date

2021

eISSN

2475-1456

Language

en

Depositor

Dr Jun Yang. Deposit date: 7 September 2021