Sensitivity to switching-function variations in a time-optimal positional system
作者:
WLADYSLAW HEJMO†,
期刊:
International Journal of Control
(Taylor Available online 1984)
卷期:
Volume 39,
issue 1
页码: 19-30
ISSN:0020-7179
年代: 1984
DOI:10.1080/00207178408933146
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The paper deals with the sensitivity to switching-function variations of a time–optimal system which is controlling a positional mechanism. The model chosen has a second-order differential equation with non-linear and discontinuous right–hand side. Such a model covers a large class of motion resistances, in particular all types of friction. Differential inequality theory and the theory of discontinuous differential equations, and in particular a method of generalizedjTsolutions, are used to show that time-optimal switching-function variations cause the origin to become an unstable equilibrium point of the state-plane and the control system to generate limit–cycles. Some suggestions for applications are given, as is a practical example.
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