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Unknown input observer based robust control for fuzzy descriptor systems subject to actuator saturation

Author

Listed:
  • Houda, K.
  • Saifia, D.
  • Chadli, M.
  • Labiod, S.

Abstract

For the stabilization problem of non linear system, a new control based on unknown input observer (UIO) is proposed to consider unknown inputs and actuators saturation. The proposed control method consists of designing an H∞ control for nonlinear systems based on TS fuzzy systems subject to unknown inputs and actuators saturation using the idea of UIO. To estimate state variables and unknown inputs, the unknown input observer is investigated. The saturation effect is considered through the polytopic representation. The descriptor representation is used to derive the new robust stabilization conditions of closed-loop system with unknown and constraints inputs. Both the UIO and controller gains are formulated as an optimization problem, which is expressed under Linear Matrix Inequalities (LMI). Simulations results are given to show the effectiveness of the proposed method.

Suggested Citation

  • Houda, K. & Saifia, D. & Chadli, M. & Labiod, S., 2023. "Unknown input observer based robust control for fuzzy descriptor systems subject to actuator saturation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 150-173.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:150-173
    DOI: 10.1016/j.matcom.2022.06.013
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    References listed on IDEAS

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    1. Damiano Rotondo & Marcin Witczak & Vicenç Puig & Fatiha Nejjari & Marcin Pazera, 2016. "Robust unknown input observer for state and fault estimation in discrete-time Takagi–Sugeno systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3409-3424, October.
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    Cited by:

    1. Janani, K. & Baranitha, R. & Lim, Chee Peng & Rakkiyappan, R., 2024. "Observer-based fuzzy integral sliding mode control for bilateral teleoperation systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 1154-1169.
    2. Rakkiyappan, R. & Sharmila, V. & Janani, K. & Kashkynbayev, Ardak, 2024. "Stabilization of Takagi–Sugeno fuzzy Hidden Markov Jump Systems with memory sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 204-217.

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