Robust stability of nonlinear singularly perturbed system with uncertainties

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The singularly perturbed system is easily analysed by two time-scale systems, each of which with a lower dimension than the original system. However, if uncertainties are added, then the analysis is very difficult because uncertainties change the slow manifold, the boundary layer model and the reduced model of the nominal system. Robust stability analysis of nonlinear singularly perturbed systems with vanishing uncertainties, of which the upper norm bounds only are available, is presented. The stability condition, under which the zero state equilibrium of the singularly perturbed system is exponentially stable for the sufficiently small perturbation parameter e, is found and a stabilising controller is proposed.
Publisher
INSTITUTION ENGINEERING TECHNOLOGY-IET
Issue Date
2006-01
Language
English
Article Type
Article
Citation

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, v.153, pp.104 - 110

ISSN
1350-2379
DOI
10.1049/ip-cta:20045159
URI
http://hdl.handle.net/10203/87863
Appears in Collection
EE-Journal Papers(저널논문)
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