TY - GEN
T1 - General result on the stabilization of linear systems using bounded controls
AU - Sussmann, Hector
AU - Sontag, Eduardo
AU - Yang, Yudi
PY - 1993
Y1 - 1993
N2 - 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 |σ(s)|>0.
AB - 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 |σ(s)|>0.
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M3 - Conference contribution
AN - SCOPUS:0027867169
SN - 0780312988
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1802
EP - 1807
BT - Proceedings of the IEEE Conference on Decision and Control
PB - Publ by IEEE
T2 - Proceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4)
Y2 - 15 December 1993 through 17 December 1993
ER -