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A New Fuzzy Robust Control for Linear Parameter-Varying Systems

Author

Listed:
  • Fenghua Chen

    (School of Intelligent Manufacturing, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang 322100, China)

  • Xinguo Qiu

    (Key Laboratory of Special Equipment Manufacturing and Advanced Processing Technology of Ministry of Education, Zhejiang University of Technology, Hangzhou 310014, China)

  • Khalid A. Alattas

    (Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia)

  • Ardashir Mohammadzadeh

    (Multidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology, Shenyang 110870, China)

  • Ebrahim Ghaderpour

    (Department of Earth Sciences, Sapienza University of Rome, Piazzale Aldo-Moro, 5, 00185 Rome, Italy)

Abstract

The linear parameter-varying (LPV) models have broad applications in advanced mathematics and modern control systems. This paper introduces a new method for controlling the LPV systems. This method includes the gain-scheduled state-feedback technique and a fuzzy system to calculate the state-feedback gain. The main goal of the control system is to stabilize the system and bring its states to equilibrium points. Linear matrix inequalities calculate feedback gains to stabilize the system. On the other hand, a fuzzy control system also produces a combined signal with the primary controller signal to speed up this operation. Lyapunov’s theory is used to guarantee the control system’s stability. Finally, to evaluate the performance of the proposed control system, the inverted pendulum has been investigated as a case study. The results show that the proposed method has good efficiency and performance.

Suggested Citation

  • Fenghua Chen & Xinguo Qiu & Khalid A. Alattas & Ardashir Mohammadzadeh & Ebrahim Ghaderpour, 2022. "A New Fuzzy Robust Control for Linear Parameter-Varying Systems," Mathematics, MDPI, vol. 10(18), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3319-:d:913818
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    References listed on IDEAS

    as
    1. Guangren Duan, 2021. "High-order fully actuated system approaches: Part V. Robust adaptive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(10), pages 2129-2143, July.
    2. Guangren Duan, 2021. "High-order fully actuated system approaches: Part III. Robust control and high-order backstepping," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(5), pages 952-971, April.
    3. Zhen Wu & Yining Liu & Xingxing Jia, 2020. "A Novel Hierarchical Secret Image Sharing Scheme with Multi-Group Joint Management," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
    4. Zhang, Jiancheng & Wang, Zhenhua & Zhao, Xudong & Wang, Yan & Xu, Ning, 2021. "Prescribed-time observers of LPV systems: A linear matrix inequality approach," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    5. Fanwei Meng & Aiping Pang & Xuefei Dong & Chang Han & Xiaopeng Sha, 2018. "H ∞ Optimal Performance Design of an Unstable Plant under Bode Integral Constraint," Complexity, Hindawi, vol. 2018, pages 1-10, August.
    6. Houssem Jerbi & Mourad Kchaou & Attia Boudjemline & Mohamed Amin Regaieg & Sondes Ben Aoun & Ahmed Lakhdar Kouzou, 2021. "H ∞ and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults," Mathematics, MDPI, vol. 9(18), pages 1-25, September.
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    Cited by:

    1. Lingqin Xia & Guang Chen & Tao Wu & Yu Gao & Ardashir Mohammadzadeh & Ebrahim Ghaderpour, 2022. "Optimal Intelligent Control for Doubly Fed Induction Generators," Mathematics, MDPI, vol. 11(1), pages 1-16, December.
    2. Batyr Orazbayev & Yerbol Ospanov & Valentina Makhatova & Lazzat Salybek & Zhanat Abdugulova & Zhumazhan Kulmagambetova & Salamat Suleimenova & Kulman Orazbayeva, 2023. "Methods of Fuzzy Multi-Criteria Decision Making for Controlling the Operating Modes of the Stabilization Column of the Primary Oil-Refining Unit," Mathematics, MDPI, vol. 11(13), pages 1-20, June.

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