2014
DOI: 10.1017/s1446181114000261
|View full text |Cite
|
Sign up to set email alerts
|

A Combined Adaptive Control Parametrization and Homotopy Continuation Technique for the Numerical Solution of Bang–bang Optimal Control Problems

Abstract: We present an efficient computational procedure for the solution of bang-bang optimal control problems. The method is based on a well-known adaptive control parametrization method, which is one of the direct methods for numerical solution of optimal control problems. First, the adaptive control parametrization method is reviewed and then its advantages and disadvantages are illustrated. In order to resolve the need for a priori knowledge about the structure of optimal control and for resolving the sensitivity … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
3
0

Year Published

2016
2016
2022
2022

Publication Types

Select...
4

Relationship

0
4

Authors

Journals

citations
Cited by 4 publications
(3 citation statements)
references
References 43 publications
0
3
0
Order By: Relevance
“…In 2013, Tarzi et al [21] presented a numerical orbital averaging method to provide a simple and fast method for obtaining preliminary solutions for a wide range of minimum-fuel low-thrust orbit transfers, and they used the solution of the energy-optimal problem as an initial guess for the minimum-fuel problem. Later, Mehrpouya et al [22] combined the adaptive control parametrization method and the homotopy method to solve the bang-bang optimal control problems, which do not require any assumptions on the control structure and the number of switching points. Several works also incorporated homotopy methods to transfer between ephemeris models.…”
Section: Introductionmentioning
confidence: 99%
“…In 2013, Tarzi et al [21] presented a numerical orbital averaging method to provide a simple and fast method for obtaining preliminary solutions for a wide range of minimum-fuel low-thrust orbit transfers, and they used the solution of the energy-optimal problem as an initial guess for the minimum-fuel problem. Later, Mehrpouya et al [22] combined the adaptive control parametrization method and the homotopy method to solve the bang-bang optimal control problems, which do not require any assumptions on the control structure and the number of switching points. Several works also incorporated homotopy methods to transfer between ephemeris models.…”
Section: Introductionmentioning
confidence: 99%
“…By these parameters, we can adjust the relative and absolute error tolerances. 59 In our simulations, the error tolerances are set to RelTol = 10 −6 and AbsTol = 10 −8 . These considerations guarantee that the relative and absolute errors in satisfying IVPs are less than 10 −6 and 10 −8 , respectively.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The adaptation is built on a multiscale setting involving wavelets. Schlegel et al 41 presented an extension and modification of the work by Binder et al 40 An adaptive CVP method was also introduced in the study of Mehrpouya et al 42 for determining the control structure and the number of switching points using the homotopy continuation technique.…”
Section: Introductionmentioning
confidence: 99%