Fixed Order Controller Design Via Convex Optimization

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Abdollahi Arpanahi, Abdollah | 2017

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 49881 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Nobakhti, Amin
Abstract:
In this thesis we introduce a new methodology to solve the problem of multi-objective control design of linear output-feedback with a constraint on the order of controller. This problem can be formulated as a set of linear matrix inequalities and an additional rank constraint. This constraint is highly non-convex and makes this optimization problem NP-hard. The proposed methodology results in methods which are multi-step and in each step a convex optimization problem shall be solved. This methodology can consider any combination of different design objectives such as H2 performance, H1 performance, passivity and regional pole assignment. In the development of described methodology, a classification of convex subsets of the set of rank constrained matrices is introduced. Using this classification, an approach to replace the rank constraint by a weaker convex constraint is introduced. Two noniterative and relatively fast sample methods are developed using this methodology. The numerical results show that the proposed methods have a good performance in comparison to powerful existing methods
Keywords:
Rank Constraint ; Linear Matrix Inequality (LMI) ; Convex Optimization ; Output Feedback ; Fixed Order Controller ; Multiobjective Control