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PARAMETRIC APPROACH TO OPTIMAL NONLINEAR CONTROL PROBLEM USING ORTHOGONAL EXPANSIONS

Abstract This article presents a parametric approach to the optimal nonlinear control problem. This contribution is based on reducing the nonlinear optimal control problem to a sequence of linear time-varying ones and approaching the desired optimal control by a sequence of linear algebraic equations. This approach provides a solution which can be obtained in a simpler way than the usual one. Alternative choices of orthonormal basis for the parametric approach are discussed.