NDLI: A time-optimal control synthesis for a nonlinear pendulum

Content Provider	Springer Nature Link
Author	Reshmin, S. A. Cherus’ko, F. L.
Copyright Year	2007
Abstract	A time-optimal control synthesis is obtained that steers a nonlinear pendulum to the bottom stable equilibrium position. The solution is based on the maximum principle and involves the analytical investigation in combination with numerical calculations. As a result, for different values of the maximum admissible control torque, switching curves and dispersal curves (or separation curves), which confine domains in the phase space that correspond to different values of the bang-bang optimal control, are constructed. The investigated patterns of synthesis reveal the mechanism of generation of numerous breaks on switching curves for small control torques.
Starting Page	9
Ending Page	18
Page Count	10
File Format	PDF
ISSN	10642307
Journal	Journal of Computer and Systems Sciences International
Volume Number	46
Issue Number	1
e-ISSN	15556530
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	2007-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Control Engineering
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software

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A time-optimal control synthesis for a nonlinear pendulum