Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)
- 2004.07d
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- Pages.2242-2244
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- 2004
Reduced-order controller design via an iterative LMI method
반복 선형행렬부등식을 이용한 축소차수 제어기 설계
- Kim, Seog-Joo (Korea Electrotechnology Research Institute (KERI)) ;
- Kwon, Soon-Man (Korea Electrotechnology Research Institute (KERI)) ;
- Lee, Jong-Moo (Korea Electrotechnology Research Institute (KERI)) ;
- Kim, Chun-Kyung (Korea Electrotechnology Research Institute (KERI)) ;
- Cheon, Jong-Min (Korea Electrotechnology Research Institute (KERI))
- Published : 2004.07.14
Abstract
This paper deals with the design of a reduced-order stabilizing controller for the linear system. The coupled lineal matrix inequality (LMI) problem subject to a rank condition is solved by a sequential semidefinite programming (SDP) approach. The nonconvex rank constraint is incorporated into a strictly linear penalty function, and the computation of the gradient and Hessian function for the Newton method is not required. The penalty factor and related term are updated iteratively. Therefore the overall procedure leads to a successive LMI relaxation method. Extensive numerical experiments illustrate the proposed algorithm.
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