Abstract
In this paper, it is shown that the pole assignment method through which one can control high degrees of freedom structures can be used to determine an optimal control law. The finding of this paper is that among all possible gain matrices which can be found by the pole assignment method there is only one gain matrix which is optimal. This result is proven when the poles of an optimal control system are assigned as the desired poles and the optimal gain matrix is found among the all possible gain matrices. This finding may solve the difficulties met for controlling large structures in an optimal way. An application to optimal control of two-story building frame is given.
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