Non-Fragile Order Reduction of Linear Controllers

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Keyumarsi, Shaghayegh | 2019

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 52437 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Nobakhti, Amin; Tavazoei, Mohammad Saleh
Abstract:
Most of the robust or optimal controllers can produce extremely fragile controllers [1], in the sense that vanishingly small perturbations of the coefficients of the designed controller destabilize the closed-loop control system. Modern control methods, including robust control, lead to high order controllers.Often times a reduced order controller is implemented. As a result, need for low order control design reducing controller’s ensitivity is tangible. Based on studies carried out, properties of normal matrices can be employed to define a fragility measure. In this thesis, a new convex criterion measuring controller fragility is defined. Then, a more resilient reduced order controller can be achieved by the proposed method for controller order reduction that minimizes the fragility criterion
Keywords:
Non-fragility Controller ; Controller Order Reduction ; Convex Fragility Measure ; Distance to Nearest Normal Matrix ; Linear Matrix Inequality (LMI)