In:
Asian Journal of Control, Wiley, Vol. 18, No. 3 ( 2016-05), p. 828-841
Abstract:
In this paper we deal with the mixed /finite‐time stability control problem. More specifically, given an open loop uncertain linear system, we provide a necessary and sufficient condition for quadratic input‐output finite‐time stability with an bound. Exploiting this result we also give a sufficient condition to solve the related synthesis problem via state‐feedback. The property of quadratic input‐output finite‐time stability with an bound implies that the system under consideration satisfies an performance bound between the disturbance input and the controlled output and, at the same time, is input‐output finite‐time stable for all admissible uncertainties. This condition requires the solution of a feasibility problem constrained by a pair of differential linear matrix inequalities (LMIs) coupled with a time‐varying LMI. The proposed technique is illustrated by means of both a numerical and a physical example.
Type of Medium:
Online Resource
ISSN:
1561-8625
,
1934-6093
Language:
English
Publisher:
Wiley
Publication Date:
2016
detail.hit.zdb_id:
2438393-4
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