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Homeomorphism Mapping Based Neural Networks for Finite Time Constraint Control of a Class of Nonaffine Pure-Feedback Nonlinear Systems

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  • Jianhua Zhang
  • Quanmin Zhu
  • Yang Li
  • Xueli Wu

Abstract

This paper proposes a new scheme for solving finite time neural networks adaptive tracking control issue for the nonaffine pure-feedback nonlinear system. The procedure, based on homeomorphism mapping and backstepping, effectively deals with constraint control and design difficulty induced by pure-feedback structure. The most outstanding novelty is that finite time adaptive law is proposed for training weights of neural networks. Furthermore, by combining finite time adaptive law and Lyapunov-based arguments, a valid finite time adaptive neural networks controller design algorithm is presented to ensure that system is practical finite stable (PFS) rather than uniformly ultimately bounded (UUB). Because of using the finite time adaptive law to training weights of neural networks, the closed-loop error system signals are in assurance of bounded in finite time. Benchmark simulations have well demonstrated effectiveness and efficiency of the proposed approach.

Suggested Citation

  • Jianhua Zhang & Quanmin Zhu & Yang Li & Xueli Wu, 2019. "Homeomorphism Mapping Based Neural Networks for Finite Time Constraint Control of a Class of Nonaffine Pure-Feedback Nonlinear Systems," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    • Handle: RePEc:hin:complx:9053858
    DOI: 10.1155/2019/9053858
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    References listed on IDEAS

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    1. Shubo Wang & Haisheng Yu & Xuehui Gao & Na Wang, 2018. "Adaptive Barrier Control for Nonlinear Servomechanisms with Friction Compensation," Complexity, Hindawi, vol. 2018, pages 1-10, July.
    2. Quanmin Zhu & Li Liu & Weicun Zhang & Shaoyuan Li, 2018. "Control of Complex Nonlinear Dynamic Rational Systems," Complexity, Hindawi, vol. 2018, pages 1-12, June.
    3. Shu-Min Lu & Dong-Juan Li, 2017. "Adaptive Neural Network Control for Nonlinear Hydraulic Servo-System with Time-Varying State Constraints," Complexity, Hindawi, vol. 2017, pages 1-11, October.
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    Cited by:

    1. Jianhua Zhang & Quanmin Zhu & Yang Li, 2019. "Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems," Complexity, Hindawi, vol. 2019, pages 1-15, October.

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