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- W1970629713 abstract "This paper considers an optimal control for a class of affine nonlinear systems with respect to linear quadratic functional. An improved successive approximation approach is proposed. By introducing the successive approximation approach of the nonlinear differential equation theory, a linear two-point boundary value problem sequence is constructed to approximate the nonlinear two-point boundary value problem that is the necessary condition of the nonlinear control problem. A technique is employed to make sure the constructed linear two-point boundary value problems of the approximating sequence homogeneous. Iteratively solving this approximating sequence, optimal control law of linear closed-loop feedback form is designed. An algorithm is presented to design certain approximate optimal control law by truncating the infinite iteration. An illustrative example shows the validity of the algorithm." @default.
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- W1970629713 date "2008-07-01" @default.
- W1970629713 modified "2023-09-27" @default.
- W1970629713 title "Optimal control for a class of affine nonlinear systems: an improved successive approximation approach" @default.
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- W1970629713 doi "https://doi.org/10.1109/chicc.2008.4605096" @default.
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