Practical Analysis of Stability Boundary of Distributed and Fractional Order Systems

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تحلیل کاربردی مرزهای پایداری سیستم‌های مرتبه کسری و مرتبه توزیع شده

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 48159 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Tavazoei, Mohammad Saleh
Abstract:
In this thesis, some basic concepts in distributed order systems are rewieved. BIBO stability condition of these systems is introduced and stability boundary of distributed order systems in eigenvalue plane of system dynamic matrix is found. In next section, some basic properties of stability boundary are investigated. Stability boundary changes due to changes in distribution function discussed in next part. Furthermore, finding stability areas in cases which stability boundary divides plane of system dynamic matrix to several separated areas is done. A new method for identifying order distribution function by information obtained from stability boundary presented and after that, an approximation for distributed order operators suggested. At the end of this thesis, a new method for determining stability areas of fractional order PID controllers discussed and the modified theorem was proposed
Keywords:
Fractional Order System ; Stability Boundary ; Distributed Order Systems

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