Low-order Dynamic Output Feedback Controller Design via Convex Optimization

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Khakpoor, Hossein | 2017

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 50307 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Nobakhti, Amin
Abstract:
Due to the prominence of low-order controllers in industry, this thesis intends to improve the common design algorithms in this field. In this regard, the main challenge is that this problem is NP-hard due to the non-convex rank constraint which appears in the formulation. The existing algorithms mostly solve this problem by obtaining a convex sub-space for this constraint and using output feedback convex optimization methods.Two of common algorithms are non-iterative. These methods two main steps; first to obtain the full-order Lyapunov matrices related to the controller, and then, to fix the null-space of the matrices which have rank constraint. One of the advantages of the algorithm presented in this thesis over past ones is higher possibility to obtain low-order (including zero-order) controller for high-order systems besides better performance. These improvements are fulfilled by modifying the steps and obtaining a better null-space
Keywords:
Convex Optimization ; Linear Matrix Inequality (LMI) ; Rank Constraint ; Controller Design ; Low Order Controller

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