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Model free optimal control of unknown nonaffine nonlinear systems with input quantization and DoS attack

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  • Wang, Xianming
  • Shen, Mouquan

Abstract

This paper is devoted to model free optimal control of unknown nonaffine nonlinear systems with input quantization and DoS attacks. Without model information, the system is presented by a modified compact form utilizing the quantized and attacked input. With this presentation, an optimisation criterion is used to approximate the unknown pseudo partial derivative parameter. Resorting to the adaptive dynamic programming approach, a single neural network-based weighting estimation law with variable learning rate is constructed to approximate the optimal cost function. Based on the approximated parameter and cost, an optimal control law is derived by applying the stationary condition. Sufficient conditions are established to make weighting approximation error and system state be uniformly ultimately bounded. The validity of the proposed model free optimal strategy is verified by illustrative examples.

Suggested Citation

  • Wang, Xianming & Shen, Mouquan, 2023. "Model free optimal control of unknown nonaffine nonlinear systems with input quantization and DoS attack," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    • Handle: RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323000838
    DOI: 10.1016/j.amc.2023.127914
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    References listed on IDEAS

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    1. Chen, Qi-Xin & Chang, Xiao-Heng, 2022. "Resilient filter of nonlinear network systems with dynamic event-triggered mechanism and hybrid cyber attack," Applied Mathematics and Computation, Elsevier, vol. 434(C).
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    4. Ming, Zhongyang & Zhang, Huaguang & Liang, Yuling & Su, Hanguang, 2022. "Nonzero-sum differential games of continuous-Time nonlinear systems with uniformly ultimately ε-bounded by adaptive dynamic programming," Applied Mathematics and Computation, Elsevier, vol. 430(C).
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    Cited by:

    1. Peng, Yan & Ge, Chao & Yang, Hongjiu & Wang, Hong, 2023. "Stability and consistency for networked multiagent systems with double-Layered game under multiple DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 458(C).

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