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Optimized Takagi–Sugeno Fuzzy Mixed H 2 / H ∞ Robust Controller Design Based on CPSOGSA Optimization Algorithm for Hydraulic Turbine Governing System

Author

Listed:
  • Lisheng Li

    (School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China)

  • Jing Qian

    (School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China)

  • Yidong Zou

    (School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China)

  • Danning Tian

    (School of Global Public Health, New York University, New York, NY 10012, USA)

  • Yun Zeng

    (School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China)

  • Fei Cao

    (School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China)

  • Xiang Li

    (School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China)

Abstract

The hydraulic turbine governing system (HTGS) is a complex nonlinear system that regulates the rotational speed and power of a hydro-generator set. In this work, an incremental form of an HTGS nonlinear model was established and the Takagi–Sugeno (T-S) fuzzy linearization and mixed H 2 / H ∞ robust control theory was applied to the design of an HTGS controller. A T-S fuzzy H 2 / H ∞ controller for an HTGS based on modified hybrid particle swarm optimization and gravitational search algorithm integrated with chaotic maps (CPSOGSA) is proposed in this paper. The T-S fuzzy model of an HTGS that integrates multiple-state space equations was established by linearizing numerous equilibrium points. The linear matrix inequality (LMI) toolbox in MATLAB was used to solve the mixed H 2 / H ∞ feedback coefficients using the CPSOGSA intelligent algorithm to optimize the weighting matrix in the process so that each mixed H 2 / H ∞ feedback coefficients in the fuzzy control were optimized under the constraints to improve the performance of the controller. The simulation results show that this method allows the HTGS to perform well in suppressing system frequency deviations. In addition, the robustness of the method to system parameter variations is also verified.

Suggested Citation

  • Lisheng Li & Jing Qian & Yidong Zou & Danning Tian & Yun Zeng & Fei Cao & Xiang Li, 2022. "Optimized Takagi–Sugeno Fuzzy Mixed H 2 / H ∞ Robust Controller Design Based on CPSOGSA Optimization Algorithm for Hydraulic Turbine Governing System," Energies, MDPI, vol. 15(13), pages 1-31, June.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:13:p:4771-:d:851370
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    References listed on IDEAS

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