Paper Info
Title
Generalized dilations and the stabilization of uncertain systems via measurement feedback
Abstract
We study the problem of semiglobally stabilizing uncertain nonlinear system ż=Az+Bu+p1(z,u,t)u,y=z+p2(z,u,t)u, with (A,B) in Brunowski form. We prove that if p1(z,u,t)u and p2(z,u,t)u are of order greater than 1 and 0, respectively, with “generalized” dilation δl(z,u)=(l1−nz1,…,l−1zn−1,zn,lu) and uniformly with respect to t, where zi is the ith component of z, then we can achieve semiglobal stabilization via arbitrarily bounded linear measurement feedback.
Year
DOI
Venue
2001
10.1016/S0167-6911(00)00116-X
Systems & Control Letters
Keywords
Field
DocType
Semiglobal stabilization,Generalized dilations,Measurement feedback
Nonlinear system,Control theory,Compact space,Observer (quantum physics),Uncertain systems,State space,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
43
2
0167-6911
Citations 
PageRank 
References 
4
0.84
3
Authors
1
Name
Order
Citations
PageRank
Stefano Battilotti113642.34