A constrained optimal control of nonlinear systems |
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Authors: | Alam M. |
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Affiliation: | Washington University, St. Louis, MO, USA; |
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Abstract: | A new method for optimal control of nonlinear systems with input constraint is discussed in this paper. The system is optimized by minimizing a quadratic performance index. Considering this problem as a nonlinear programming problem, the necessary and sufficient conditions for optimal control are derived, which are later simplified to an integral equation. This integral equation becomes a necessary condition. The existence of a solution of this integral equation is studied, and a method of solving it is discussed. A numerical example is worked out at the end. |
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