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Approximate Optimal Control of Nonlinear Systems with Mismatched Perturbations Based on Asymptotically Stable Critic Neural Network

Published: 07 March 2020 Publication History

Abstract

In this paper, the approximate optimal control problem for nonlinear systems with mismatched perturbations is addressed through asymptotically stable critic neural network (NN). By employing the estimated perturbation via nonlinear perturbation observer, the online updated value function is constructed to reflect the real-time perturbations, regulation and control simultaneously. In order to solve the Hamilton-Jacobi-Bellman equation, an asymptotically stable critic NN is established based on the novel nested update laws. Thus, the approximate optimal control is obtained to guarantee the closed-loop system to be uniformly ultimately bounded based on the Lyapunov's direct method. Simulation results illustrate the effectiveness of the developed control scheme.

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  1. Approximate Optimal Control of Nonlinear Systems with Mismatched Perturbations Based on Asymptotically Stable Critic Neural Network

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    ICCDE '20: Proceedings of 2020 6th International Conference on Computing and Data Engineering
    January 2020
    279 pages
    ISBN:9781450376730
    DOI:10.1145/3379247
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 07 March 2020

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    Author Tags

    1. Adaptive dynamic programming
    2. mismatched perturbations
    3. neural networks
    4. nonlinear perturbation observer
    5. optimal control
    6. reinforcement learning

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    Funding Sources

    • State Key Laboratory of Synthetical Automation for Process Industries
    • National Natural Science Foundation of China
    • Fundamental Research Funds for the Central Universities
    • Early Career Development Award of SKLMCCS

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    ICCDE 2020

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