Nonlinear control systems: an introduction (2nd ed.)
Nonlinear control systems: an introduction (2nd ed.)
Nonlinear and Adaptive Control Design
Nonlinear and Adaptive Control Design
Stable adaptive fuzzy controllers with application to inverted pendulum tracking
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach
IEEE Transactions on Fuzzy Systems
Stable adaptive control using fuzzy systems and neural networks
IEEE Transactions on Fuzzy Systems
Adaptive fuzzy sliding mode control of nonlinear system
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
An improved stable adaptive fuzzy control method
IEEE Transactions on Fuzzy Systems
An observer-based approach to controlling time-delay chaotic systems via Takagi-Sugeno fuzzy model
Information Sciences: an International Journal
FPGA-based real-time implementation of an adaptive RCMAC control system
WSEAS Transactions on Circuits and Systems
Adaptive CMAC neural control of chaotic systems with a PI-type learning algorithm
Expert Systems with Applications: An International Journal
Direct adaptive self-structuring fuzzy controller for nonaffine nonlinear system
Fuzzy Sets and Systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Direct adaptive fuzzy control for a class of nonlinear systems based on integral Lyapunov functions
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Indirect adaptive fuzzy and impulsive control of nonlinear systems
International Journal of Automation and Computing
Sliding mode control for uncertain nonlinear systems using RBF neural networks
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part III
Adaptive fuzzy output-feedback controller for SISO affine nonlinear systems without state observer
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part IV
Adaptive fuzzy sliding mode control of the model of aneurysms of the circle of willis
LSMS'07 Proceedings of the 2007 international conference on Life System Modeling and Simulation
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This paper describes the design of the robust adaptive fuzzy controller for uncertain single-input single-output nonlinear dynamical systems with unknown nonlinearities. These unknown nonlinearities are approximated by the fuzzy system with a set of fuzzy IF-THEN rules whose parameters are adjusted on-line according to some adaptive laws for the purpose of controlling the output of the nonlinear system to track a given trajectory. The Lyapunov synthesis approach is used to develop a state-feedback adaptive control algorithm based on the adaptive fuzzy model. The key assumption is that the reconstruction errors satisfy certain bounding conditions. The control law consists of two terms. One is the certainty equivalent control and the other is the bounding control. A bounding parameter adaptive law is used to obtain this bounding control. The overall control system guarantees that the tracking error converges in the small neighborhood of zero and that all signals involved are uniformly bounded. It is also shown that, in the special case, the tracking error exponentially converges to zero even though the approximation errors exist.