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Scattering theory and linear optimal control: Regulator and servo problems

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2 Author(s)
Warrior, J. ; Indian Institute of Science, Bangalore ; Viswanadham, N.

In this paper, several known computational solutions are readily obtained in a very natural way for the linear regulator, fixed end-point and servo-mechanism problems using a certain frame-work from scattering theory. The relationships between the solutions to the linear regulator problem with different terminal costs and the interplay between the forward and backward equations have enabled a concise derivation of the partitioned equations, the forward-backward equations, and Chandrasekhar equations for the problem. These methods have been extended to the fixed end-point, servo, and tracking problems.

Published in:

Decision and Control including the 17th Symposium on Adaptive Processes, 1978 IEEE Conference on

Date of Conference:

10-12 Jan. 1979

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