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S-domain solution for the fixed end-point optimal-control problem

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1 Author(s)
M. J. Grimble ; Sheffield City Polytechnic, Control Engineering, Department of Electrical & Electronic Engineering, Sheffield, UK

A design procedure is described for constant linear multivariable systems that must minimise a finite time quadratic cost function and achieve a fixed terminal state. This is the first presentation of a general solution to this problem in the complex-frequency domain. To achieve this solution a gradient function is calculated and the theory of projection operators is employed. A technique is described by which the optimal open loop control can be implemented in feedback system form.

Published in:

Electrical Engineers, Proceedings of the Institution of  (Volume:124 ,  Issue: 9 )