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정제욱,조영호,임국현,안두수,Jeong, Je-Uk,Jo, Yeong-Ho,Im, Guk-Hyeon,An, Du-Su 대한전기학회 2000 전기학회논문지 D Vol.52 No.1
This paper presents a new algorithm for hierarchical optimal control of nonlinear systems. The proposed method is simple because the solutions are obtained by only exchanging informations of coefficient vector based on interaction prediction principle and FWT(fast Walsh transform) in upper and lower level. Since we solve two point boundary problem with Picard's iterative method and the backward integral operational matrix of Walsh function to obtain the optimal vector of each independent subsystem, the algorithm is simple and its operation is fast without inverse matrix and kronecker product operation. In simulation, the proposed algorithm's usefulness is proved by comparison with the global optimal control methods.
블럭펄스 함수를 이용한 비선형 확률 시스템의 제어기 설계
임윤식,정제욱,안두수 成均館大學校 科學技術硏究所 1997 論文集 Vol.48 No.2
The purpose of this paper is to indicate how the available thoery of optimal control and estimation for the so called linear-quadratic-Gaussian(LQG) problem provides such a unified design procedure for the nonlinear system. In particular, we wish to stress the advantages of this method from the viewpoint of ease of computation, since the theory provides us with equation that can be readily solved by modern digital computers. This algorithm minimizes the effect for the initial error by adaptive analysis method via BPF and the each sampling interval of the nonlinear system is linearized using BPF's coefficients, the convergence of the estimated states can be improved.