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Observer-based H infinity control for T-S fuzzy systems with time delay: delay-dependent design method.

Chong Lin, Qing-Guo Wang, Tong Heng Lee

    IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
    |August 19, 2007
    PubMed
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    This study introduces a new method for observer-based H infinity control in time-delay Takagi-Sugeno (T-S) fuzzy systems, addressing challenges in control design for complex systems.

    Area of Science:

    • Control Theory
    • Fuzzy Systems
    • Nonlinear Control

    Background:

    • Observer-based H infinity control for time-delay Takagi-Sugeno (T-S) fuzzy systems is a complex problem.
    • Existing methods face difficulties in decoupling matrix variables within linear matrix inequalities (LMIs).

    Discussion:

    • This work proposes a novel decoupling technique to solve matrix inequalities with coupled variables.
    • The method utilizes a cone complementarity problem approach for observer-based H infinity control design.
    • Lyapunov-Krasovskii functionals are carefully chosen to incorporate local system intersections.

    Key Insights:

    • A delay-dependent LMI-based control design method is presented.
    • The proposed decoupling technique effectively addresses coupled variables in matrix inequalities.

    Related Experiment Videos

  • The effectiveness of the delay-dependent result is demonstrated through illustrative examples.

    • Outlook:

    • This research contributes to advancing control strategies for uncertain and time-delayed dynamical systems.
    • The developed LMI-based algorithm offers a practical approach for designing robust controllers.
    • Further research could explore extensions to more complex fuzzy system structures or different control objectives.