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Non-fragile Static Output Feedback Control with Sparse Gain Matrix

Iraniparast, Amir Hossein | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54104 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Tavazoei, Mohammad Saleh; Nobakhti, Amin
  7. Abstract:
  8. One of the issues in the design and synthesis of the state or output feedback controller is the issue of fragility as the existence of disturbance in the coefficients of the designed controller causes instability in the controlled closed-loop system or leads to deterioration of its performance. The need to consider this point results in some novel approaches for designing the non-fragile controllers. Accordingly, defining criteria for measuring fragility is crucial.As well, due to the considered practical problems in the implementation of ordinary designed robust and optimal controllers, non-reachability of all the states of dynamical systems, and the boundedness for the quantity of the sensors in designing procedure, we must regard the standpoint about how it should be possible to place the sensors to obtain the most non-fragile designed controller.In this M.Sc. thesis, initially, the crucial mathematical tools are defined for the sake of designing the structure of controllers; in addition, the reason for that proposition and its usage are elaborated in the non-fragility notion. Our main theory is proposed to obtain the most non-fragile static output feedback. Finally, our novel algorithm leads to achieving the most non-fragile static output feedback with a sparse gain matrix
  9. Keywords:
  10. Linear Matrix Inequality (LMI) ; Convex Fragility Measure ; Feedback Controller ; Output Feedback ; Non-Fragility Controller ; Ellipsoidal Matrix ; Bilinear Matrix Inequality

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