μ制御器に対する周波数重み付きブロック平衡実現による制御器低次元化

概要

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The robust controller has good characteristic which can deal with disturbances and model errors. Especially μ-synthesis is a design method for the tradeoff between performance and robust stability, removing conservativeness due to unstructured singular values. We called the controller obtained by this method a μ-controller. However, it has the higher order generally. From a standpoint of cost and reliability, it is preferred that its order is reduced, which causes the degradation of the closed-loop performance. In order to decrease the degradation, it is necessary to take account the closed-loop configuration in the reduction process. For it, the authors developed the block balanced realization method in H∞ control. In this paper, we use the scaling matrix D obtained by the D-K iteration as frequency weights for the block balanced realization method. A numerical example is given to illustrate the effectiveness of our method.
社団法人電気学会,電気学会,オーム社 (会員外発売所),The Institute of Electrical Engineers of Japanの論文
2009-06-01