✦ LIBER ✦

A sensitivity analysis for control systems having input time delays

✍ Scribed by D.H Mee

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 511 KB
Volume: 10
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(74)90057-0

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✦ Synopsis

Summing--The concept of singular sensitivity of a lumped linear system to small pure time delays in controls is introduced, From this, first order changes in a quadratic performance index can be calculated. A design method is proposed which calculates optimal linear feedback laws for the lumped system, but ensures that the effect of control delays is kept "small" in closed loop. Iterative computational algorithms are developed and simple examples presented. For stable plants, the computations always converge, while for unstable plants, the region of convergence limits the allowed delay to "non-dominant" values consistent with stabilisability under the given feedback structure.

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