システム制御情報学会論文誌
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
次数指定のH制御器設計法-双線形行列不等式からの接近
井前 讓古館 貴
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1998 年 11 巻 10 号 p. 554-567

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In this paper, we deal with fixed-order H controller design problems, based on bilinear matrix inequalities. BMI problems are nonlinear, non-differentiable and non-convex, and therefore very difficult to obtain global solutions numerically. First, we convert BMI problems into differentiable problems introducing so-called shift-parameters. Next, combining the shift-parameter scheme with quasi-Newton methods, we propose a new computational technique as BMI solvers. Lastly, we demonstrate the effectiveness of our approach by simulations, with applications to the design of fixed-order H controllers.

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