Optimal control design using sequential linear programming

Christoph Verlohren; Tarunraj Singh; Puneet Singla

doi:10.1109/acc.2010.5531549

Optimal control design using sequential linear programming

Christoph Verlohren, Tarunraj Singh, Puneet Singla

Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

The focus of this paper is on the development of an iterative Linear Programming based approach for the determination of optimal controllers for nonlinear systems. The optimal control problem is posed in a Mayer form and a one-dimensional search technique such as the bisection algorithm is used on the cost function to converge to the optimal solution. A polynomial representation for the variation of the control profile is used to arrive at discrete time approximation of the perturbation dynamics about nominal trajectories. A linear program is then used to determine perturbations to the nominal control to satisfy terminal and transient constraints. The proposed technique is illustrated on some benchmark problems.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Publisher	IEEE Computer Society
Pages	1562-1567
Number of pages	6
ISBN (Print)	9781424474264
DOIs	https://doi.org/10.1109/acc.2010.5531549
State	Published - 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1109/acc.2010.5531549

Cite this

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title = "Optimal control design using sequential linear programming",

abstract = "The focus of this paper is on the development of an iterative Linear Programming based approach for the determination of optimal controllers for nonlinear systems. The optimal control problem is posed in a Mayer form and a one-dimensional search technique such as the bisection algorithm is used on the cost function to converge to the optimal solution. A polynomial representation for the variation of the control profile is used to arrive at discrete time approximation of the perturbation dynamics about nominal trajectories. A linear program is then used to determine perturbations to the nominal control to satisfy terminal and transient constraints. The proposed technique is illustrated on some benchmark problems.",

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Optimal control design using sequential linear programming. / Verlohren, Christoph; Singh, Tarunraj; Singla, Puneet.
Proceedings of the 2010 American Control Conference, ACC 2010. IEEE Computer Society, 2010. p. 1562-1567 5531549 (Proceedings of the 2010 American Control Conference, ACC 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Singh, Tarunraj

AU - Singla, Puneet

PY - 2010

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N2 - The focus of this paper is on the development of an iterative Linear Programming based approach for the determination of optimal controllers for nonlinear systems. The optimal control problem is posed in a Mayer form and a one-dimensional search technique such as the bisection algorithm is used on the cost function to converge to the optimal solution. A polynomial representation for the variation of the control profile is used to arrive at discrete time approximation of the perturbation dynamics about nominal trajectories. A linear program is then used to determine perturbations to the nominal control to satisfy terminal and transient constraints. The proposed technique is illustrated on some benchmark problems.

AB - The focus of this paper is on the development of an iterative Linear Programming based approach for the determination of optimal controllers for nonlinear systems. The optimal control problem is posed in a Mayer form and a one-dimensional search technique such as the bisection algorithm is used on the cost function to converge to the optimal solution. A polynomial representation for the variation of the control profile is used to arrive at discrete time approximation of the perturbation dynamics about nominal trajectories. A linear program is then used to determine perturbations to the nominal control to satisfy terminal and transient constraints. The proposed technique is illustrated on some benchmark problems.

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ER -

Optimal control design using sequential linear programming

Abstract

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