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반복 선형행렬부등식을 이용한 저차원 H<sub>∞</sub> 제어기 설계
김춘경,김국헌,문영현,김석주,Kim Chun-Kyung,Kim Kook-Hun,Moon Young-Hyun,Kim Seog-Joo 제어로봇시스템학회 2005 제어·로봇·시스템학회 논문지 Vol.11 No.4
This paper deals with the design of a low-order H/sub ∞/ controller by using an iterative linear matrix inequality (LMI) method. The low-order H/sub ∞/ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, the recently developed penalty function method is applied. 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. Numerical experiments showed the effectiveness of the proposed algorithm.