Universal approximation using radial-basis-function networks
Neural Computation
Neural networks for control systems: a survey
Automatica (Journal of IFAC)
Neural Network Control of Robot Manipulators and Nonlinear Systems
Neural Network Control of Robot Manipulators and Nonlinear Systems
Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximation Techniques
Neural Network Control of Nonlinear Discrete-Time Systems (Public Administration and Public Policy)
Neural Network Control of Nonlinear Discrete-Time Systems (Public Administration and Public Policy)
IEEE Transactions on Neural Networks
A discrete-time multivariable neuro-adaptive control for nonlinear unknown dynamic systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Multilayer discrete-time neural-net controller with guaranteed performance
IEEE Transactions on Neural Networks
Control of a class of nonlinear discrete-time systems using multilayer neural networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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This brief extends the new neuroadaptive control framework for continuous-time nonlinear uncertain dynamical systems based on a Q-modification architecture to discrete-time systems. As in the continuous-time case, the discrete-time update laws involve auxiliary terms, or Q-modification terms, predicated on an estimate of the unknown neural network weights which in tum involve a set of auxiliary equations characterizing a set of affine hyperplanes. In addition, we show that the Q-modification terms in the discrete-time update law are designed to minimize an error criterion involving a sum of squares of the distances between the update weights and the family of affine hyperplanes.