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Theory and application of optimal control for distributed parameter systems—I: Theory

✍ Scribed by W.L. Brogan

Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
751 KB
Volume
4
Category
Article
ISSN
0005-1098

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✦ Synopsis

The theory of optimum control for distributed parameter systems is presented using a dynamic programming approach. These results have been previously presented, but the present two-part paper shows how an additional class of problems involving boundary control can be handled with the same theory. Use is made of the extended definition of the spatial operators involved. Also, a geometrical insight into the transversality conditions is presented. Algorithms for solving certain classes of problems are presented as well as numerical results obtained from them. The teehniques used in these simple problems suggest methods that can be adapted to more complex ones.

📜 SIMILAR VOLUMES

An optimal control problem for a class o
An optimal control problem for a class of distributed parameter systems
✍ D.J. Ball; J.R. Hewit 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 413 KB

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 solut