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Proceedings ArticleDOI

Adaptive bounding techniques for stable neural control systems

Marios M. Polycarpou, +1 more
- Vol. 3, pp 2442-2447
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TLDR
An adaptive bounding design is used to show that the overall neural control system guarantees semi-global uniform ultimate boundedness within a neighborhood of zero tracking error.
Abstract
This paper considers the design of stable adaptive neural controllers for uncertain nonlinear dynamical systems with unknown nonlinearities. The Lyapunov synthesis approach is used to develop state-feedback adaptive control schemes based on a general class of nonlinearly parametrized neural network models. The key assumptions are that the system uncertainty satisfies a "strict-feedback" condition and that the network reconstruction error and higher-order terms (with respect to the parameter estimates) satisfy certain bounding conditions. An adaptive bounding design is used to show that the overall neural control system guarantees semi-global uniform ultimate boundedness within a neighborhood of zero tracking error.

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Citations
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Neural network-based control design: an LMI approach

TL;DR: A neural-network-based control design for a discrete-time nonlinear system with a multilayer perceptron of which the activation functions are of the sigmoid type symmetric to the origin and the stability of the closed-loop is guaranteed.
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Nonlinear adaptive control using neural networks and multiple models

TL;DR: The principal contribution described here is concerned with combining linear and nonlinear models to improve the performance of essentially nonlinear dynamical systems even while assuring their stability.
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Robust adaptive output feedback control of nonlinear systems without persistence of excitation

TL;DR: This paper proves tracking error convergence without persistence of excitation, and shows that the adaptive controller is robust with respect to sufficiently small bounded disturbance, and adds a robustifying control component to show that the controllers is robust for a wide class of, not-necessarily-small, bounded disturbance.
Proceedings ArticleDOI

Neural network-based control design: an LMI approach

TL;DR: In this paper, a neural network-based control design for a discrete-time nonlinear system is presented, where the activation functions are of the sigmoid type symmetric to the origin.
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Learning control of mobile robots using a multiprocessor system

TL;DR: In this paper, a real-time multiprocessor system is proposed for the solution of the tracking problem of mobile robots operating in a real context with environmental disturbances and parameter uncertainties, which utilizes multiple models of the robot for its identification in an adaptive and learning control framework Radial Basis Function Networks (RBFNs) are considered for the multiple models in order to exploit the net non-linear approximation capabilities for modeling the kinematic behavior of the vehicle and for reducing unmodeled contributions to tracking errors.
References
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Journal ArticleDOI

Identification and control of dynamical systems using neural networks

TL;DR: It is demonstrated that neural networks can be used effectively for the identification and control of nonlinear dynamical systems and the models introduced are practically feasible.
Journal ArticleDOI

Gaussian networks for direct adaptive control

TL;DR: A direct adaptive tracking control architecture is proposed and evaluated for a class of continuous-time nonlinear dynamic systems for which an explicit linear parameterization of the uncertainty in the dynamics is either unknown or impossible.
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Systematic design of adaptive controllers for feedback linearizable systems

TL;DR: A systematic procedure for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems is developed, which substantially enlarges the class of non linear systems with unknown parameters for which global stabilization can be achieved.
Proceedings ArticleDOI

Systematic Design of Adaptive Controllers for Feedback Linearizable Systems

TL;DR: In this paper, a systematic procedure is developed for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems, which are transformable into the so-called pure-feedback form.
Journal ArticleDOI

Multilayer neural-net robot controller with guaranteed tracking performance

TL;DR: A multilayer neural-net (NN) controller for a general serial-link rigid robot arm is developed using a filtered error/passivity approach and novel online weight tuning algorithms guarantee bounded tracking errors as well as bounded NN weights.
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