Direct adaptive fuzzy control with a self-structuring algorithm
Fuzzy Sets and Systems
Adaptive fuzzy wavelet network control design for nonlinear systems
Fuzzy Sets and Systems
A Fuzzy Asymmetric GARCH model applied to stock markets
Information Sciences: an International Journal
Servomotor velocity tracking using adaptive fuzzy techniques
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Extension of fuzzy adaptive laws to IT2 fuzzy systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Novel direct adaptive fuzzy control system design
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Robust L2-gain compensative control for direct-adaptive fuzzy-control-system design
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Fire-rule-based direct adaptive type-2 fuzzy H∞ tracking control
Engineering Applications of Artificial Intelligence
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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.