Sensitivity of optimal control systems with bang-bang control†
作者:
JACOB ROOTENBERG,
PATRICK COURTIN,
期刊:
International Journal of Control
(Taylor Available online 1973)
卷期:
Volume 18,
issue 3
页码: 537-543
ISSN:0020-7179
年代: 1973
DOI:10.1080/00207177308932532
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The effects of small parameter variations on the performance index of optimal control systems with initial and final target manifolds, free end time, and bang-bang control are analysed in this paper. A new approach to the sensitivity equation is presented. This approach takes into account the pulse-shaped variation produced by the parameter change on the bang-bang control. An expression, that relates the variations of the performance index, the trajoctory, the final time, and the parameter, is derived. This expression extends to the class of optimal systems with bang-bang control, a result previously obtained by Courtin and Rootenberg (1971).
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