A general result on the stabilization of linear systems usingbounded controls
Sussmann, H.
Sontag, E.
Yang, Y.
Dept. of Math., Rutgers Univ., New Brunswick, NJ ;
This paper appears in: Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Publication Date: 15-17 Dec 1993
On page(s): 1802-1807 vol.2
Meeting Date: 12/15/1993 - 12/17/1993
Location: San Antonio, TX, USA
ISBN: 0-7803-1298-8
References Cited: 15
INSPEC Accession Number: 4778833
Digital Object Identifier: 10.1109/CDC.1993.325264
Current Version Published: 2002-08-06
Abstract
We present two constructions of controllers that globally
stabilize linear systems subject to control saturation. The only
conditions imposed are the obvious necessary ones, namely that no
eigenvalues of the uncontrolled system have positive real part and that
the standard stabilizability rank condition holds. We use essentially
arbitrary saturations σ, subject only to the requirement that: (i)
σ is locally Lipschitz, (ii) sσ(s)>0 whenever s≠0,
(iii) σ is differentiable at 0 and σ'(0)>0, and (iv) lim
inf|s|→∞|σ(s)|>0
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