A Design Method for Fixed-order H.INF. Controllers Based on Bilinear Matrix Inequalities. Eigenvector and Quasi-Newton Method Approach.

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  • 双線形行列不等式（ＢＭＩ）に基づく低次元Ｈ∞制御器設計　　固有ベクトルおよび準ニュートン法からの接近
  • ソウセンケイ ギョウレツ フトウシキ BMI ニ モトズク テイジゲン H セ

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In this paper, we deal with fixed order H∞ controller design, based on bilinear matrix inequalities (BMI). Firstly, we propose a new algorithm for solving LMI/BMI problems, which is theoretically applicable to nonlinear matrix inequality problems. Secondly, we demonstrate by simulation the algorithm to be numerically stable and reliable, as far as LMI/BMI problems are concerned. Lastly, making use of the present algorithm, we obtain the fixed-order H∞ controller for 2-mass-spring systems, which implies the practicability of BMI based design methods for fixed-order H∞ controllers.

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