Search Results - "Betts, John T"

Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches by Campbell, Stephen L., Betts, John T.

“…There have been a number of results in the literature showing that a direct transcription numerical approach to optimal control problems could have a number of…”
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Very low-thrust trajectory optimization using a direct SQP method by Betts, John T.

“…The direct transcription or collocation method has demonstrated notable success in the solution of trajectory optimization and optimal control problems. This…”
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Lobatto IIIA methods, direct transcription, and DAEs with delays by Betts, John T., Campbell, Stephen L., Thompson, Karmethia

“…Recent results in the literature have shown that LobattoIIIA methods may have some undesirable stability properties when used to numerically integrate…”
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Optimal low‒thrust orbit transfers with eclipsing by Betts, John T.

“…SummaryBy choosing the optimal steering history of a spacecraft, it is possible to maximize the mass delivered from a park orbit to a mission orbit. A…”
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Trajectory optimization in the presence of uncertainty by Betts, John T.

“…The design of a trajectory for an aerospace vehicle can be formulated using modern optimal control and/or nonlinear programming techniques. Typically, the…”
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Solving optimal control problems with control delays using direct transcription by Betts, John T., Campbell, Stephen L., Thompson, Karmethia C.

“…The numerical treatment of optimal control problems with state and control delays is important in a wide variety of scientific and technical applications…”
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Optimal lowthrust orbit transfers with eclipsing by Betts, John T

“…Summary By choosing the optimal steering history of a spacecraft, it is possible to maximize the mass delivered from a park orbit to a mission orbit. A…”
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Exploiting Sparsity in the Direct Transcription Method for Optimal Control by Betts, John T, Huffman, William P

“…In the direct transcription method an approximation to an optimal control problem is constructed by discretization of the state and control variables. The…”
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Practical methods for optimal control using nonlinear programming: John T. Betts by Betts, John T

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Optimal lunar swingby trajectories by Betts, John T.

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Direct transcription solution of inequality constrained optimal control problems by Betts, J.T., Campbell, S.L., Engelsone, A.

“…Direct transcription is a popular way to solve the complex optimal control problems that arise in industry. With a direct transcription approach, the problem…”
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Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice by Betts, J T, Campbell, S L, Engelsone, A

“…Theoretical results from optimal control theory and numerical analysis play an important role in understanding and numerically solving optimal control problems…”
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Mesh refinement in direct transcription methods for optimal control by Betts, John T., Huffman, William P.

“…The direct transcription method for solving optimal control problems involves the use of a discrete approximation to the original problem. This paper describes…”
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Compensating for order variation in mesh refinement for direct transcription methods by Betts, John T., Biehn, Neil, Campbell, Stephen L., Huffman, William P.

“…The numerical theory for Implicit Runge–Kutta methods shows that there can be order reduction when these methods are applied to either stiff or differential…”
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A direct approach to solving optimal control problems by Betts, J.T.

“…Historically, researchers have solved optimal control problems using the calculus of variations-an approach called the indirect method. This technique led to…”
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Compensating for order variation in mesh refinement for direct transcription methods: Numerical analysis 2000. Vol. VI: Ordinary differential equations and integral equations by BETTS, John T, BIEHN, Neil, CAMPBELL, Stephen L, HUFFMAN, William P

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Optimal control software for constrained nonlinear systems with delays by Betts, J. T., Campbell, S. L., Thompson, K. C.

“…The numerical solution of optimal control problems is important in a variety of industries. One of the popular methods for complex problems is direct…”
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Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition [Bookshelf] by Rao, Anil V.

“…Optimal control is a subject that dates back nearly 100 years. The roots of optimal control lie in the subject of variational calculus, which was originally…”
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Order of Convergence in the Direct Transcription Solution of Optimal Control Problems by Engelsone, A., Campbell, S.L., Betts, J.T.

“…In the direct transcription approach to the numerical solution of optimal control problems, the optimal control problem is discretized and the resulting…”
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