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Fuzzy Sets and Systems
Volume 151, Issue 1, 1 April 2005, Pages 1-20
 
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doi:10.1016/j.fss.2004.05.008    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2004 Elsevier B.V. All rights reserved.

Robust control for a class of uncertain nonlinear systems: adaptive fuzzy approach based on backstepping

Shaosheng Zhoua, Corresponding Author Contact Information, E-mail The Corresponding Author, Gang Fengb and Chun-Bo Fengc

aInstitute of Automation, Qufu Normal University, Qufu 273165, Shandong, P.R. China bDepartment of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong cInstitute of Automation, Southeast University, Nanjing 210096, China

Received 21 May 2003; 
revised 13 February 2004; 
accepted 13 May 2004. 
Available online 14 July 2004.

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Abstract

A robust adaptive fuzzy control design approach is developed for a class of multivariable nonlinear systems with modeling uncertainties and external disturbances. The controller design for the overall systems has been carried out through a number of simpler controller designs for a series of the relevant auxiliary systems based on the backstepping design technique. For each auxiliary system, an adaptive fuzzy logic system is introduced to learn the behavior of unknown dynamics, and then a robust control algorithm is employed to efficiently compensate the approximation error and the external disturbances as well. It is shown that the resulting closed-loop systems guarantee a satisfactory transient and asymptotic performance. A simulation example is also presented to illustrate the design procedure and controller performance.

Keywords: Adaptive control; Backstepping design; Fuzzy systems; Nonlinear systems; Uncertainty


Fuzzy Sets and Systems
Volume 151, Issue 1, 1 April 2005, Pages 1-20
 
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