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- W2326383458 abstract "We present a numerical technique for solving time- and robust time-optimal control problems. The method relies on the special feature that the optimal control structure contains as many free parameters as there are interior or boundary conditions. Two boundary value problems (BVPs) are formulated as a result of the necessary conditions of optimality. The first BVP includes only the state variables, whereas, the second one includes only the costates. This separation reduces the dimension of the original problem into half, thus, taking less computer time to solve. Then, a numerical algorithm is developed, that is based on the shooting method, to solve the resulting BVPs. While satisfying all the necessary conditions of optimality, the computed optimal solution is verified by comparing the control input resulting from the solution of the first BVP with the switching function from the second BVP. The numerical technique is modified, next, to solve robust time-optimal control problem. The capability of the proposed method is demonstrated through numerical examples, whose output optimal solution is shown to be identical to those presented in the literature. These examples include linear as well as nonlinear systems. Finally, the numerical technique is utilized to design a time-optimal control for a rest-to-rest maneuver of a flexible structure while eliminating the residual vibrations at the end of the maneuver." @default.
- W2326383458 created "2016-06-24" @default.
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- W2326383458 date "2000-08-14" @default.
- W2326383458 modified "2023-09-25" @default.
- W2326383458 title "Numerical technique for solving time- and robust time-optimal control problems" @default.
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- W2326383458 doi "https://doi.org/10.2514/6.2000-4151" @default.
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