機械・構造系と制御系の統合化最適設計問題 : ディスクリプタ表現に基づくH^∞最適設計問題の定式化

概要

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A simultaneous optimization problem of mechanical/structural elements and controller parameters has been studied. In this paper, an H^∞ simultaneous optimization problem is formulated, which is similar to the conventional H^∞ optimization. The descriptor forms are used for a controlled object and a generalized plant because the structural parameters appear naturally in these forms. Static state feedback is considered as a control law. The objective function is the H^∞ performance, which is the H^∞ norm of the closed-loop transfer function from exogenous input to controlled output. In order to obtain the solvability conditions of the formulated problem, the descriptor form representation is transformed into a state space one. The conditions can be expressed in terms of linear matrix inequalities (LMI). An iterative procedure is proposed for solving LMI by use of convex optimization.
一般社団法人日本機械学会の論文
1996-05-25