Nonlinear control systems: an introduction (2nd ed.)
Nonlinear control systems: an introduction (2nd ed.)
Sufficient conditions on general fuzzy systems as function approximators
Automatica (Journal of IFAC)
A course in fuzzy systems and control
A course in fuzzy systems and control
Information Sciences—Informatics and Computer Science: An International Journal
Direct adaptive fuzzy control for nonlinear systems with time-varying delays
Information Sciences: an International Journal
Indirect adaptive fuzzy and impulsive control of nonlinear systems
International Journal of Automation and Computing
ISNN'06 Proceedings of the Third international conference on Advnaces in Neural Networks - Volume Part II
Adaptive control for nonlinear MIMO time-delay systems based on fuzzy approximation
Information Sciences: an International Journal
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A robust adaptive fuzzy control (RAFC) scheme, which can be used to control a class of uncertain nonlinear systems in which the robust relative degree is equal to the system's degree, is proposed for the problem of ship roll stabilization. The uncertain system can be transformed into the controllability canonical form by the global diffeomorphism. Using the universal approximation capability of the fuzzy system, we construct a fuzzy system as the upper bound of uncertainties in the nonlinear uncertain system. Based on Lyapunov direct method, we prove that the RAFC scheme proposed in this paper can guarantee the closed-loop system to converge exponentially with a prescribed degree towards a residual ball around the equilibrium. Since only one parameter needs to be adapted on-line, the computing load of the proposed RAFC algorithm can be significantly reduced. We then demonstrate how to design a RAFC for ship roll stabilization. The feasibility of the proposed method is verified through a container ship simulation.