Optimal Control of Linearly Constrained Linear Systems via State Parametrization

Authors

V. Yen, National Sun Yat-Sen UniversityFollow
Mark L. Nagurka, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

4-1992

Publisher

Wiley

Source Publication

Optimal Control: Applications and Methods

Source ISSN

0143-2087

Abstract

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.

Comments

Optimal Control: Applications and Methods, Vol. 13, No. 2 (April/June 1992): 155-167. DOI.

Mark L. Nagurka was affiliated with Carnegie Mellon University at the time of publication.

Recommended Citation

Yen, V. and Nagurka, Mark L., "Optimal Control of Linearly Constrained Linear Systems via State Parametrization" (1992). Mechanical Engineering Faculty Research and Publications. 203.
https://epublications.marquette.edu/mechengin_fac/203