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A new approach to the state-transfer problem

✍ Scribed by S.D. Agashe; B.K. Lande

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 341 KB
Volume: 333
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(96)00004-x

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✦ Synopsis

A new and simple solution to the problem of determinin 9 a function which will effect a possible state transfer of a linear, time-invariant system is presented here. This solution is based on relatin9 the 9iven system to a family of phase-variable canonical form systems, i.e. to a family of scalar differential equations, and solvin9 the problem for the latter by two-point interpolation. It applies to uncontrollable as well as controllable systems; the required control function is not restricted to the class of polynomials; and no computation of the state-transition matrix is involved.

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