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임윤식,이명규,안두수 成均館大學校 科學技術硏究所 1997 論文集 Vol.48 No.1
The orthogonal function has been widely employed to solve the control problems, whereas its application to solve the LQG prroblem has hardely been used. Chang & Lee suggested direct application of orthogonal function to Riccatti equation and covariance matrix Riccatti equation. But in this method, the dimension of the integration operational matrix enlarge as the order of the system or the number of expansion term increases. In this paper, in order to solving Riccatti equation and covariance matrix Riccatti equation, TPBVP and matrix fraction method are used. LQG controller is designed by applying block pulse function to this method.