Stability analysis and control of non-standard nonlinear singularly perturbed system

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Stability analysis and control of a non-standard nonlinear singularly perturbed system are studied. A non-standard form in which linear and nonlinear parts coexist is considered and a transformation using linear parts is suggested. On the basis of this transformation, the non-standard form is changed into a quasi-standard form, which is similar to a standard form. For the transformed system, the stability conditions under which the system is exponentially stable for the sufficiently small perturbation parameter epsilon are found. Using this analysis, a stabilising controller is designed. The practical aspects of the scheme proposed are illustrated through the control of a series DC motor.
Publisher
INSTITUTION ENGINEERING TECHNOLOGY-IET
Issue Date
2006-11
Language
English
Article Type
Article
Keywords

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Citation

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, v.153, pp.703 - 708

ISSN
1350-2379
DOI
10.1049/ip-cta:20050170
URI
http://hdl.handle.net/10203/91948
Appears in Collection
EE-Journal Papers(저널논문)
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