article

Fuzzy adaptive robust backstepping stabilization for SISO nonlinear systems with unknown virtual control direction

Authors:

Shaocheng Tong,

Yongming LiAuthors Info & Claims

Information Sciences—Informatics and Computer Science, Intelligent Systems, Applications: An International Journal, Volume 180, Issue 23

Pages 4619 - 4640

https://doi.org/10.1016/j.ins.2010.07.025

Published: 01 December 2010 Publication History

Abstract

In this paper, a direct fuzzy adaptive robust control approach is proposed for a class of SISO nonlinear systems with completely unknown virtual control directions, unknown nonlinearities, unmodeled dynamics and dynamic disturbances. In the backstepping recursive design, fuzzy logic systems are employed to approximate the combined nonlinear uncertainties, a dynamic signal and Nussbaum gain technique are introduced into the control scheme to dominate the dynamic uncertainties and solve the unknown signs of virtual control directions, respectively. It is proved that the proposed robust fuzzy adaptive scheme can guarantee the all signals in the closed-loop system are semi-globally uniformly ultimately bounded. The effectiveness of the proposed approach is illustrated via three examples.

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Cited By

Wang LChen C(2020)Adaptive Fuzzy Dynamic Surface Control of Nonlinear Constrained Systems With Unknown Virtual Control CoefficientsIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2019.292127728:8(1737-1747)Online publication date: 3-Aug-2020
https://dl.acm.org/doi/10.1109/TFUZZ.2019.2921277
Khajeh Talkhoncheh MShahrokhi MAskari M(2017)Observer-Based adaptive neural network controller for uncertain nonlinear systems with unknown control directions subject to input time delay and saturationInformation Sciences: an International Journal10.1016/j.ins.2017.08.024418:C(717-737)Online publication date: 1-Dec-2017
https://dl.acm.org/doi/10.1016/j.ins.2017.08.024
Yang HWang H(2016)Robust adaptive fault-tolerant control for uncertain nonlinear system with unmodeled dynamics based on fuzzy approximationNeurocomputing10.1016/j.neucom.2015.09.039173:P3(1660-1670)Online publication date: 15-Jan-2016
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Fuzzy adaptive robust backstepping stabilization for SISO nonlinear systems with unknown virtual control direction
1. Computing methodologies
  1. Artificial intelligence
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    2. Knowledge representation and reasoning
2. Mathematics of computing
  1. Mathematical analysis

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cover image Information Sciences: an International Journal

Information Sciences: an International Journal Volume 180, Issue 23

December, 2010

279 pages

ISSN:0020-0255

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Copyright © Elsevier Inc. © 2010.

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 01 December 2010

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Cited By

Wang LChen C(2020)Adaptive Fuzzy Dynamic Surface Control of Nonlinear Constrained Systems With Unknown Virtual Control CoefficientsIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2019.292127728:8(1737-1747)Online publication date: 3-Aug-2020
https://dl.acm.org/doi/10.1109/TFUZZ.2019.2921277
Khajeh Talkhoncheh MShahrokhi MAskari M(2017)Observer-Based adaptive neural network controller for uncertain nonlinear systems with unknown control directions subject to input time delay and saturationInformation Sciences: an International Journal10.1016/j.ins.2017.08.024418:C(717-737)Online publication date: 1-Dec-2017
https://dl.acm.org/doi/10.1016/j.ins.2017.08.024
Yang HWang H(2016)Robust adaptive fault-tolerant control for uncertain nonlinear system with unmodeled dynamics based on fuzzy approximationNeurocomputing10.1016/j.neucom.2015.09.039173:P3(1660-1670)Online publication date: 15-Jan-2016
https://dl.acm.org/doi/10.1016/j.neucom.2015.09.039
Yang HShi PZhao XShi Y(2016)Adaptive output-feedback neural tracking control for a class of nonstrict-feedback nonlinear systemsInformation Sciences: an International Journal10.1016/j.ins.2015.11.034334:C(205-218)Online publication date: 20-Mar-2016
https://dl.acm.org/doi/10.1016/j.ins.2015.11.034
Boulkroune ATadjine MM'saad MFarza M(2014)Design of a unified adaptive fuzzy observer for uncertain nonlinear systemsInformation Sciences: an International Journal10.1016/j.ins.2013.12.026265(139-153)Online publication date: 1-May-2014
https://dl.acm.org/doi/10.1016/j.ins.2013.12.026
Wang TTong SLi Y(2013)Robust adaptive fuzzy output feedback control for stochastic nonlinear systems with unknown control directionNeurocomputing10.1016/j.neucom.2012.10.013106(31-41)Online publication date: 1-Apr-2013
https://dl.acm.org/doi/10.1016/j.neucom.2012.10.013
Li SYang CChen SKo LLin C(2013)Fuzzy adaptive synchronization of time-reversed chaotic systems via a new adaptive control strategyInformation Sciences: an International Journal10.1016/j.ins.2012.08.007222(486-500)Online publication date: 1-Feb-2013
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Basin MRodriguez-Ramirez P(2012)Sliding mode filter design for nonlinear polynomial systems with unmeasured statesInformation Sciences: an International Journal10.1016/j.ins.2012.03.019204(82-91)Online publication date: 1-Oct-2012
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Li YTong SLi T(2012)Adaptive fuzzy output feedback control of uncertain nonlinear systems with unknown backlash-like hysteresisInformation Sciences: an International Journal10.1016/j.ins.2012.02.050198(130-146)Online publication date: 1-Sep-2012
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