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Improved Model Order Reduction of LTI Systems with Using LMIs

Karimi Jirandehi, Ardeshir | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46800 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Nobakhti, Amin
  7. Abstract:
  8. Order reduction is a very important issue in Control Theory. A growing need for order reduction models in different fields such as simulation, identification, and design of control system shows this significance. Actually, a high-order system makes a great deal of complexity in designing hardware of control system, debugging, and implementation. Till nowadays, many repetitive as well as nonrepetitive methods with various criteria have been introduced to find low-order models. In this research, order reduction of linear time invariant system models is analyzed. The selected criterion for measuring error between original system and reduced order system is the norm of H1 because it is not only used for minimizing the norm of L2 in the output of error system, but it is needed for robust control of an upper bound as well. Thus, the order reduction model can be introduced as a non-convex optimization problem which minimizes the error which exists between original system and reduced order system. Based on this problem, a suboptimal solution is offered in terms of linear matrix inequalities. Existing efficient algorithms for solving linear matrix inequalities and convenience in adding extra constraints to master problem are among significant advantages of mentioned tool. Eventually, the performance of proposed method is evaluated by manifold examples and comparison with other common methods in order reduction model
  9. Keywords:
  10. Linear Matrix Inequality (LMI) ; Linear Time Invarient Systems ; Model Order Reduction ; Rank Constraint

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