๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

OPTIMAL CONTROL FOR VIBRATING SYSTEMS

โœ Scribed by Y.M. RAM; D.J. INMAN

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
214 KB
Volume
13
Category
Article
ISSN
0888-3270

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โœฆ Synopsis

A linear regulator problem for mechanical vibrating systems is studied in the secondorder formulation. We exploit the second-order form of the di!erential equations involved, and solve the problem without the traditional use of a Riccati equation. In its natural representation, the optimal control problem gives rise to minimisation of a functional depending on second derivatives. The Euler}Lagrange equations and the transversality conditions developed lead to a linear fourth-order di!erential equation that determines the optimal control. The results are demonstrated by examples.

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