Order of Convergence in the Direct Transcription Solution of Optimal Control Problems

Proceedings of the 44th IEEE Conference on Decision and Control ◽

10.1109/cdc.2005.1582741 ◽

2006 ◽

Cited By ~ 2

Author(s):

A. Engelsone ◽

S.L. Campbell ◽

J.T. Betts

Keyword(s):

Optimal Control ◽

Order Of Convergence ◽

Optimal Control Problems ◽

Control Problems ◽

Direct Transcription

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Direct Transcription of Optimal Control Problems with Finite Elements on Bernstein Basis

Journal of Guidance Control and Dynamics ◽

10.2514/1.g003753 ◽

2019 ◽

Vol 42 (2) ◽

pp. 229-243 ◽

Cited By ~ 1

Author(s):

Lorenzo A. Ricciardi ◽

Massimiliano Vasile

Keyword(s):

Optimal Control ◽

Finite Elements ◽

Optimal Control Problems ◽

Control Problems ◽

Bernstein Basis ◽

Direct Transcription

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A consistent direct transcription method for optimal control problems in multibody dynamics

PAMM ◽

10.1002/pamm.201110028 ◽

2011 ◽

Vol 11 (1) ◽

pp. 73-74

Author(s):

Ralf Siebert ◽

Peter Betsch

Keyword(s):

Optimal Control ◽

Multibody Dynamics ◽

Optimal Control Problems ◽

Control Problems ◽

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Solving optimal control problems with control delays using direct transcription

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.12.008 ◽

2016 ◽

Vol 108 ◽

pp. 185-203 ◽

Cited By ~ 9

Author(s):

John T. Betts ◽

Stephen L. Campbell ◽

Karmethia C. Thompson

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Direct Transcription ◽

Control Delays

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Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice

Optimization and Engineering ◽

10.1007/s11081-007-9000-8 ◽

2007 ◽

Vol 8 (1) ◽

pp. 1-19 ◽

Cited By ~ 15

Author(s):

J. T. Betts ◽

S. L. Campbell ◽

A. Engelsone

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Higher Order ◽

Control Problems ◽

Direct Transcription ◽

Order State

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Convergence rates for direct transcription of optimal control problems using Second Derivative Methods

2016 American Control Conference (ACC) ◽

10.1109/acc.2016.7524918 ◽

2016 ◽

Author(s):

Dayaram Sonawane ◽

Manan Pathak ◽

Venkat R. Subramanian

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

Control Problems ◽

Second Derivative ◽

Direct Transcription ◽

Second Derivative Methods

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Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches

Numerical Algorithms ◽

10.1007/s11075-016-0119-6 ◽

2016 ◽

Vol 73 (3) ◽

pp. 807-838 ◽

Cited By ~ 3

Author(s):

Stephen L. Campbell ◽

John T. Betts

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

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Direct transcription solution of high index optimal control problems and regular Euler–Lagrange equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.02.024 ◽

2007 ◽

Vol 202 (2) ◽

pp. 186-202 ◽

Cited By ~ 5

Author(s):

Stephen L. Campbell ◽

Roswitha März

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

High Index ◽

Control Problems ◽

Lagrange Equations ◽

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Convergence rates for direct transcription of optimal control problems using collocation at Radau points

Computational Optimization and Applications ◽

10.1007/s10589-007-9098-9 ◽

2007 ◽

Vol 41 (1) ◽

pp. 81-126 ◽

Cited By ~ 133

Author(s):

Shivakumar Kameswaran ◽

Lorenz T. Biegler

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

Control Problems ◽

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Approximation of a class of optimal control problems with order of convergence estimates

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(73)90022-x ◽

1973 ◽

Vol 44 (1) ◽

pp. 28-47 ◽

Cited By ~ 176

Author(s):

Richard S. Falk

Keyword(s):

Optimal Control ◽

Order Of Convergence ◽

Optimal Control Problems ◽

Control Problems ◽

Convergence Estimates

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Convergence rates for direct transcription of optimal control problems with final-time equality constraints using collocation at Radau points

2006 American Control Conference ◽

10.1109/acc.2006.1655348 ◽

2006 ◽

Cited By ~ 4

Author(s):

S. Karneswaran ◽

L.T. Biegler

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Convergence Rates ◽

Equality Constraints ◽

Control Problems ◽

Final Time ◽

Direct Transcription

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