LYAPUNOV ANALYSIS OF SLIDING MOTIONS - APPLICATION TO BOUNDED CONTROL

Authors
PERRUQUETTI W RICHARD JP BORNE P
Citation
W. Perruquetti et al., LYAPUNOV ANALYSIS OF SLIDING MOTIONS - APPLICATION TO BOUNDED CONTROL, Mathematical problems in engineering, 3(1), 1996, pp. 1-25
Citations number
10
Categorie Soggetti
Mathematics,Engineering,Mathematics
Journal title
Mathematical problems in engineering → ACNP
ISSN journal
1024123X
Volume
3
Issue
1
Year of publication
1996
Pages
1 - 25
Database
ISI
SICI code
1024-123X(1996)3:1<1:LAOSM->2.0.ZU;2-D
Abstract
The results concern the fundamental problem of Lyapunov analysis of sl iding motions, It consist first to estimate the useful part of the sli ding surface (the so-called ''sliding domain'') and second to estimate the useful parr of the state domain that is the domain of ail initial conditions for which the corresponding solutions converge to the slid ing domain. The application of such results concern the design of a re alistic bounded control, Several examples are exposed in order to illu strate the obtained results.