Robust Stability Analysis of FO-LTI Systems with Interval and Polytopic Uncertainties

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Adelipour, Saeed | 2014

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 45981 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Haeri, Mohammad
Abstract:
In this thesis, a new general state space form for uncertain LTI-fractional order system subjected to interval and polytopic uncertainties is introduced. Robust stability analysis and robust stabilization of presented system are investigated. Fractional derivative order assumed to be a known constant. Sufficient conditions in terms linear matrix inequalities (LMIs) are concluded to check the robust stability of the presented system. Then, these results are extended to derive some sufficient LMI conditions to design a state feedback controller in order to stabilize the mentioned uncertain system robustly. Effectiveness and correctness of presented sufficient conditions and application of them when fractional derivative order is an unknown constant are depicted through several numerical illustrative examples
Keywords:
Linear Matrix Inequality (LMI) ; Fractional Order System ; Robust Stability ; Stabilization ; Interval Uncertainty ; Polytopic Uncertainty

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