Optimal control design using sequential linear programming

Christoph Verlohren, Tarunraj Singh, Puneet Singla

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


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 languageEnglish (US)
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
PublisherIEEE Computer Society
Number of pages6
ISBN (Print)9781424474264
StatePublished - 2010

Publication series

NameProceedings of the 2010 American Control Conference, ACC 2010

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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