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An optimal control problem for a class of distributed parameter systems

โœ Scribed by D.J. Ball; J.R. Hewit

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
413 KB
Volume
9
Category
Article
ISSN
0005-1098

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โœฆ Synopsis

The optimal control of a class of linear deterministic time-invariant multi-dimensional distributed systems is considered. The unconstrained optimal control problem is formulated as a quadratic minimisation in a real Hilbert space. A conjugate gradient minimisation technique is employed in its solution. The effect of constraints on the control variables is included by adding penalty terms to the performance criterion. This reduces the constrained optimisation to a series of unconstrained minimisations in Hilbert space. A two-dimensional heat conduction system is then considered as an illustrative example. Values for its Green's function are obtained using a numerical technique.

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