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TECHNICAL BRIEFS

Preservation of the Full Relative Degree for a Class of Delay Systems Under Sampling

[+] Author and Article Information
P. Pepe

Dipartimento di Ingegneria Elettrica, Universitá degli Studi dell’Aquila, 67040 Poggio di Roio, L’Aquila, Italy e-mail: pepe@ing.univaq.it

J. Dyn. Sys., Meas., Control 125(2), 267-270 (Jun 04, 2003) (4 pages) doi:10.1115/1.1570857 History: Received June 01, 2002; Revised January 01, 2003; Online June 04, 2003
Copyright © 2003 by ASME
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References

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.
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.
Aranda-Bricaire,  E., Kotta,  U., and Moog,  C. H., 1996, “Linearization of Discrete Time Systems,” SIAM J. Control Optim., 34(6), pp. 1999–2003.
Jakubczyk,  B., 1987, “Feedback Linearization of Discrete-Time Systems,” Syst. Control Lett., 9, pp. 411–416.
Lee,  H. G., Arapostathis,  A., and Marcus,  S. I., 1987, “Linearization of Discrete-Time Systems,” Int. J. Control, 45(5), pp. 1803–1822.
Monaco,  S., and Normand-Cyrot,  D., 1988, “Zero Dynamics of Sampled Nonlinear Systems,” Syst. Control Lett., 11, pp. 229–234.
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.
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.
Germani,  A., Manes,  C., and Pepe,  P., 2000, “Local Asymptotic Stability for Nonlinear State Feedback Delay Systems,” Kybernetika, 36(1), pp. 31–42.
Isidori, A., 1995, Nonlinear Control Systems, Springer-Verlag.

Figures

Grahic Jump Location
x1(t), control law (4.6)
Grahic Jump Location
x1(t) and x2(t), control law (4.10)

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