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Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem  

Kim Seogj-Joo (한국전기연구원)
Kwon Soonman (한국전기연구원)
Kim Chung-Kyung (한국전기연구원)
Moon Young-Hyun (연세대 공대 전기공학부)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.53, no.11, 2004 , pp. 747-752 More about this Journal
Abstract
This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.
Keywords
Linear Matrix Inequality(LMI); Static Output Feedback(SOF); Rank Condition; Penalty Method;
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