DocumentCode
706973
Title
Nonlinear systems, the associated angular system and stabilisation
Author
Banks, S.P.
Author_Institution
Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, Sheffield, UK
fYear
1999
fDate
Aug. 31 1999-Sept. 3 1999
Firstpage
3769
Lastpage
3773
Abstract
The stabilizability of a general class of nonlinear systems is studied by considering the associated angular system, which leads to a simple stabilizing controller in many cases. Examples including the case of bilinear systems are presented in both finite- and infinite-dimensional cases. The method consists of writing the system in the form of a nonlinear equation on a sphere and a radial differential system- the latter is easily controlled under certain conditions on the control vector field.
Keywords
nonlinear control systems; nonlinear equations; stability; associated angular system; bilinear systems; control vector field; infinite-dimensional cases; nonlinear equation; nonlinear systems; radial differential system; stabilisation; stabilizing controller; Control systems; Eigenvalues and eigenfunctions; Frequency-domain analysis; Hilbert space; Nonlinear systems; Propagation; Standards; Angular System; Nonlinear Systems; Stabilization;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1999 European
Conference_Location
Karlsruhe
Print_ISBN
978-3-9524173-5-5
Type
conf
Filename
7099918
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