アクティブ制御系システムの極を満足する重み係数および最適極配置

概要

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In active control of structures, the control law is generally determined either by the linear optimal control or by the pole placement methods. In this paper, we have discussed the relationship between the two methods, known as the inverse optimal control problem. Using this relationship, we have shown that it is possible to derive an optimal control law at desired pole locations by combining the pole placement method with the criterion of optimality in frequency domain for a single actuator system. Using the optimality criterion, we have plotted regions of optimal poles for SDOF and 2DOF (SDOF with an ATMD) systems. We have found that the optimal region for 2DOF system can be drawn by drawing optimal regions for the two modes separately. We have also presented the calculation of weighting matrix Q in a simplified form. We have observed that even indefinite Q matrices yield optimal control law. The reason for this is that this sign condition is not necessary but only sufficient condition for optimality, imposed during the variational formulation of the optimal control problem.
一般社団法人日本建築学会の論文
1993-03-20