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Optimal control of linearly constrained linear systems via state parametrization

✍ Scribed by V. Yen; M. Nagurka

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
634 KB
Volume
13
Category
Article
ISSN
0143-2087

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✦ Synopsis

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 optima1 performance index and the optima1 state and control trajectories.

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