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Control of Nonlinear Delayed Systems

Hashemian, Negar | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43231 (06)
  4. University: Sharif University of Technology
  5. Department: Chemical and Petroleum Engineering
  6. Advisor(s): Shahrokhi, Mohammad
  7. Abstract:
  8. Time delay systems may arise in practice for a variety of reasons, such as autonomous systems (without feedback control), and the delay is the result of an intrinsic property of the system. Sometimes the delay results from feedback control action, instead from the system itself; that is, due to the nature of the system, the feedback is delayed. Another type of delays of similar effects may be incurred due to delayed measurements. In both delayed control and delayed measurement, the delay is usually considered undesirable, which has the tendency to deteriorate the system performance or even destabilize the system.

    In this thesis, three types of adaptive controller are proposed for the following different cases:

    1- An unknown, nonlinear system with known and time varying delays in states. In this case, the system is considered single input-single output (SISO)
    2- A multiple input-multi output (MIMO), nonlinear system which has time delays both in states and output feedback
    3- An uncertain, nonlinear system, with unknown delays in states

    Fuzzy sliding, model reference and model reference-sliding mode approaches are exploited to design of controllers for above problems respectively. Additionally, for all the presented controller, Lyapunov-Krasovskii functionals are implemented to prove their exponential stability.

    Furthermore, the results of simulation and comparison them with other previous controllers in papers, in the same situation, indicate that the novel controllers which are designed in this thesis are faithful and more efficient rather the previous ones
  9. Keywords:
  10. Time Delay ; Lyapunov-Krasovskii Function ; Nonlinear System ; Sliding Mode ; Fuzzy Systems ; Model Reference Adaptive Control ; Adaptive Control ; Time Variable Delay

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