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Study on Solution Existence in Tuning Fractional Order PD and PI Controllers

Badri, Vahid | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 44657 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Tavazoei, Mohammad Saleh
  7. Abstract:
  8. In this study, some of robust and exact tuning methods for fractional order PD and PI controllers are investigated in order to extract their solution existence conditions. Using aforementioned methods needs solving a set of nonlinear equations to obtain desired controller parameters which satisfy the control objectives. Hence, one of the aims of this study is to find necessary and sufficient condition on tuning specifications which guarantee the applicability of the aforementioned methods. The achievable performance region of the methods is obtained through the extracted necessary and sufficient conditions. The other aim of this work is to investigate the uniqueness of the methods solution(s). In addition, the aforementioned methods are generalized for feedback control loops in the presence of time delay. Also, the necessary and sufficient conditions of solution existence are extracted and the uniqueness of the solution(s) is studied for thess cases, too. Using the results of these investigations one can check the applicability of the aforementioned methods before solving the set of nonlinear equations. The obtained achievable performance regions of the methods can be used as a new tool to compare the tuning methods with same control objectives in a specific control system. Some interesting properties of the achievable performance regions, such as continuity, are investigated in the present work. To verify the obtained results some examples are given for each tuning method
  9. Keywords:
  10. Tunning Methods ; Fractional Order Proportional Integrated Derivative (FOPID)Controller ; Fractional Order propotional Integrated (FOPI)Controller ; Achievable Performance Region ; Solution Existence Conditions

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