Multilayer feedforward networks are universal approximators
Neural Networks
Universal approximation using radial-basis-function networks
Neural Computation
Adaptive fuzzy systems and control: design and stability analysis
Adaptive fuzzy systems and control: design and stability analysis
Stable Adaptive Neural Network Control
Stable Adaptive Neural Network Control
Automatica (Journal of IFAC)
Comments on "Discrete-time adaptive backstepping nonlinear control via high-order neural networks"
IEEE Transactions on Neural Networks
Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H∞ tracking performance
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Repetitive learning control: a Lyapunov-based approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Decentralized Output-Feedback Neural Control for Systems With Unknown Interconnections
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Adaptive neural network control for strict-feedback nonlinear systems using backstepping design
Automatica (Journal of IFAC)
Brief Adaptive control for output feedback nonlinear systems in the presence of modeling errors
Automatica (Journal of IFAC)
An ISS-modular approach for adaptive neural control of pure-feedback systems
Automatica (Journal of IFAC)
Adaptive neural control for a class of nonlinearly parametric time-delay systems
IEEE Transactions on Neural Networks
Wavelet Adaptive Backstepping Control for a Class of Nonlinear Systems
IEEE Transactions on Neural Networks
Robust Output Feedback Tracking Control for Time-Delay Nonlinear Systems Using Neural Network
IEEE Transactions on Neural Networks
Gaussian networks for direct adaptive control
IEEE Transactions on Neural Networks
Accuracy analysis for wavelet approximations
IEEE Transactions on Neural Networks
High-order neural network structures for identification of dynamical systems
IEEE Transactions on Neural Networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances
IEEE Transactions on Fuzzy Systems
Adaptive dynamic CMAC neural control of nonlinear chaotic systems with L2 tracking performance
Engineering Applications of Artificial Intelligence
Adaptive neural complementary sliding-mode control via functional-linked wavelet neural network
Engineering Applications of Artificial Intelligence
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This paper addresses the approximation problem of functions affected by unknown periodically time-varying disturbances. By combining Fourier series expansion into multilayer neural network or radial basis function neural network, we successfully construct two kinds of novel approximators, and prove that over a compact set, the new approximators can approximate a continuously and periodically disturbed function to arbitrary accuracy. Then, we apply the proposed approximators to disturbance rejection in the first-order nonlinear control systems with periodically time-varying disturbances, but it is straightforward to extend the proposed design methods to higher-order systems by using adaptive backstepping technique. A simulation example is provided to illustrate the effectiveness of control schemes designed in this paper.