ISSN:
1573-8450
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
Abstract A class of linear singularly perturbed systems with singular perturbation parameter µ 〉 0 is considered. To assure asymptotic stability of the full-order system for sm 〉 0 sufficiently small, it is customary to require that both the reduced-order system (µ = 0) and the boundary-layer system are asymptotically stable. Here we relax the requirement on the boundary-layer system to stability (i.e., stability, but not necessarily asymptotic stability) and show that, subject to one additional condition, the full-order system is asymptotically stable for sufficiently small µ. The result is illustrated by an application in which we consider the stability robustness of a feedback-controlled mechanical system with respect to an unmodeled flexibility.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02169427
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