Optimal control of linearly constrained linear systems via state parametrization

V. Yen, M. Nagurka

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


This paper presents a general computational tool for determining the near‐optimal trajectories of linear, lumped parameter, dynamic systems subjected to linear constraints. In the proposed approach each state variable is approximated by the sum of a third‐order polynomial and a finite term Fourier‐type series. This enables a linearly constrained optimal control problem to be converted into a linearly constrained mathematical programming problem. Simulation results demonstrate that the approach accurately predicts the optimal performance index and the optimal state and control trajectories.

Original languageEnglish
Pages (from-to)155-167
Number of pages13
JournalOptimal Control Applications and Methods
Issue number2
StatePublished - 1 Jan 1992
Externally publishedYes


  • Mathematical programming
  • Optimal control
  • State parametrization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics


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