Abstract
The optimization of an adaptive observation system under entropy criterion for the effective estimation of the initial state of a noise-free linear continuous dynamical system is considered. The observation control policy, which switches n inputs (n is the dimension of the state vector) at (n − 1) times, is proposed from the viewpoint of observability as the effective one from both the computational and estimation aspects. A convenient method to obtain the inputs is also presented. Furthermore, a lower bound on the minimum entropy is derived in order that the optimality of the control policy is checked for the case where the eigenvalues of the plant matrix do not differ from each other so much. Finally, the effectiveness of the approach is shown even for the mean square error (MSE) criterion concerning the initial state estimation in a parabolic type of linear distributed parameter system.
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