This paper addresses the problem of the preservation of the full relative degree under sampling, for a particular class of nonlinear time delay systems, on the basis of the work by Barbot, Monaco, and Normand-Cyrot, (“A Sampled Normal Form for Feedback Linearization,” Mathematics of Control, Signals and Systems, 1996. No. 9, pp. 162–188). The preservation of the relative degree, in order to build up the control law, has many advantages in the delayless case. The results of this paper are a first step in order to achieve the same advantages in the delayed case, too.
Issue Section:
Technical Briefs
1.
de la Sen
, M.
, and Etxebarria
, V.
, 1999
, “Discretized Models and Use of Multirate Sampling for Finite Spectrum Assignment in Linear Systems with Commensurate Time Delays
,” Nonlinear Anal., Ser. A: Theory Methods
, 2
, pp. 193
–228
.2.
Barbot
, J. P.
, Monaco
, S.
, and Normand-Cyrot
, D.
, 1996
, “A Sampled Normal Form for Feedback Linearization
,” Mathematics of Control, Signals and Systems
, 9
, pp. 162
–188
.3.
Aranda-Bricaire
, E.
, Kotta
, U.
, and Moog
, C. H.
, 1996
, “Linearization of Discrete Time Systems
,” SIAM J. Control Optim.
, 34
(6
), pp. 1999
–2003
.4.
Jakubczyk
, B.
, 1987
, “Feedback Linearization of Discrete-Time Systems
,” Syst. Control Lett.
, 9
, pp. 411
–416
.5.
Lee
, H. G.
, Arapostathis
, A.
, and Marcus
, S. I.
, 1987
, “Linearization of Discrete-Time Systems
,” Int. J. Control
, 45
(5
), pp. 1803
–1822
.6.
Monaco
, S.
, and Normand-Cyrot
, D.
, 1988
, “Zero Dynamics of Sampled Nonlinear Systems
,” Syst. Control Lett.
, 11
, pp. 229
–234
.7.
Monaco
, S.
, and Normand-Cyrot
, D.
, 1983
, “The Immersion Under Feedback of a Multidimensional Discrete-Time Nonlinear System into a Linear System
,” Int. J. Control
, 38
(1
), pp. 245
–261
.8.
Germani
, A.
, Manes
, C.
, and Pepe
, P.
, 2000
, “A Twofold Spline Approximation for the Finite Horizon LQG Control of Hereditary Systems
,” SIAM J. Control Optim.
, 39
(4
), pp. 1233
–1295
.9.
Germani
, A.
, Manes
, C.
, and Pepe
, P.
, 2000
, “Local Asymptotic Stability for Nonlinear State Feedback Delay Systems
,” Kybernetika
, 36
(1
), pp. 31
–42
.10.
Isidori, A., 1995, Nonlinear Control Systems, Springer-Verlag.
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