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Two-mode adaptive fuzzy control with approximation error estimator


Phan, PA and Gale, TJ, Two-mode adaptive fuzzy control with approximation error estimator, IEEE Transactions on Fuzzy Systems, 15, (5) pp. 943-955. ISSN 1063-6706 (2007) [Refereed Article]

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Copyright Statement

Copyright 2007 IEEE

DOI: doi:10.1109/TFUZZ.2006.890657


In this paper, we propose a two-mode adaptive fuzzy controller with approximation error estimator. In the learning mode, the controller employs some modified adaptive laws to tune the fuzzy system parameters and an approximation error estimator to compensate for the inherent approximation error. In the operating mode, the fuzzy system parameters are fixed, only the estimator is updated online. Mathematically, we show that the closed-loop system is stable in the sense that all the variables are bounded in both modes. We also establish mathematical bounds on the tracking error, state vector, control signal and the RMS error. Using these bounds, we show that controller's design parameters can be chosen to achieve desired control performance. After that, an algorithm to automatically switch the controller between two modes is presented. Finally, simulation studies of an inverted pendulum system and a Chua's chaotic circuit demonstrate the usefulness of the proposed controller.

Item Details

Item Type:Refereed Article
Keywords:adaptive control, approximation error estimator, Lyapunov stability, neuro-fuzzy system, nonlinear control
Research Division:Information and Computing Sciences
Research Group:Machine learning
Research Field:Neural networks
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Phan, PA (Mr Phi Phan)
UTAS Author:Gale, TJ (Dr Timothy Gale)
ID Code:49893
Year Published:2007
Web of Science® Times Cited:49
Deposited By:Engineering
Deposited On:2007-08-01
Last Modified:2012-11-13
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