計測自動制御学会論文集
Online ISSN : 1883-8189
Print ISSN : 0453-4654
論文
代数的特徴付けに基づく大規模動的システムの階層化最適制御
椿野 大輔吉岡 大輝原 辰次
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ジャーナル フリー

49 巻 (2013) 12 号 p. 1154-1163

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Large-scale dynamical systems often consist of a number of subsystems that are interconnected according to a hierarchical multi-scale network. This paper introduces a hierarchical control scheme as an efficient strategy to handle such systems and proposes a method for designing a hierarchical linear quadratic optimal regulator. The proposed framework employs an algebraic approach. We first characterize a hierarchy of systems as an algebra based on semigroups, the Kronecker product, and the linear combination. This allows us to prove that the stabilizing solution of the Riccati equation inherits a hierarchy if system matrices and weights in the cost function belong to the corresponding common algebra that characterizes the hierarchy. A couple of classes of systems that can be treated by our algebraic framework are also provided in the paper. We will see that the derived result gives a unified insight into several related previous works.

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© 2013 公益社団法人 計測自動制御学会
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