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An approximation to optimal modal control

✍ Scribed by Dušan S. Zrnić

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
461 KB
Volume
10
Category
Article
ISSN
0005-1098

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✦ Synopsis

An approximation to the optimal modal control in terms of the first, lowest, mode of the distributed system is proposed. It is assumed that the modes occur with different probabilities and the expected value of the usual cost functional is minimized. The piecewise modal approximation as introduced in this paper is optimal for the lowest mode, and approximately optimal for other modes. The overall expected value is still close to the optimal due to the heavy weight put on the lowest mode. Simulation results on a perfectly conducting string stressed by an electric field are presented.

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