Title :
Nonlinear systems, the associated angular system and stabilisation
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, Sheffield, UK
fDate :
Aug. 31 1999-Sept. 3 1999
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;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
