Settling time in a linear dynamic system with bounded external disturbances

Authors:
M. V. Khlebnikov
Affiliations:
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2012

Citing 4
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Abstract

The article deals with the problem of estimating the settling time for a linear dynamic system subjected to the action of nonrandom bounded external disturbances. The suggested approach is based on the method of invariant ellipsoids and the technique of linear matrix inequalities. Both the continuous and the discrete version of the problem are considered. As an example the problem of control of a two-mass system is investigated.