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Optimal design of robust control for fuzzy mechanical systems with flexible components

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Abstract

This paper focuses on a fuzzy optimal design scheme for pointing control of the moving tank. The uncertainty of the system is nonlinear and time-varying (possibly fast) but can be described by bounded fuzzy sets. First, by building the dynamic model of the flexible barrel with a variable cross-section area, a method is proposed to obtain the muzzle angle in real time based on vibration theory rather than sensors. Second, the control objective of the system is transformed from the system state to the constraint following error based on the approximate constraint following theory. Third, the unknown uncertainty of the system is described by a fuzzy set and is coped with by proposing a robust control. Fourth, the control parameter optimal design is proposed after considering the effect of control inputs on the adjustment time and barrel vibration. The optimal control parameter is obtained by presenting and minimizing a fuzzy performance index. This paper achieves more precise pointing control by using the muzzle angle as the control feedback and the optimal design after proposing robust control.

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Data Availability

The datasets generated during and/or analysed during the current study are not publicly available due to the article has not yet been published, but are available from the corresponding author on reasonable request.

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Funding

This work was partially supported by the National Natural Science Foundation of China (Project No. 52175099), the China Postdoctoral Science Foundation (Project No. 2020M671494), the Jiangsu Planned Projects for Postdoctoral Research Funds (Project No. 2020Z179), the Nanjing University of Science and Technology Independent Research Program (Project No. 30920021105).

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Authors and Affiliations

  1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Zong-fan Wang, Guo-lai Yang & Xiu-ye Wang

  2. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Qin-qin Sun

  3. Inner Mongolia North Heavy Industries Group Limited Company, Baotou, 014033, China

    Yu-ze Ma

Authors
  1. Zong-fan Wang
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  2. Guo-lai Yang
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  3. Xiu-ye Wang
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  4. Qin-qin Sun
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  5. Yu-ze Ma
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Z. Wang. The first draft of the manuscript was written by Z. Wang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding authors

Correspondence to Guo-lai Yang or Xiu-ye Wang.

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Wang, Zf., Yang, Gl., Wang, Xy. et al. Optimal design of robust control for fuzzy mechanical systems with flexible components. Nonlinear Dyn 111, 14119–14137 (2023). https://doi.org/10.1007/s11071-023-08507-6

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