0
TECHNICAL PAPERS

On the Robust Stabilization of Nonlinear Uncertain Systems With Incomplete State Availability

[+] Author and Article Information
G. Bartolini, A. Pisano, E. Usai

Department of Electrical and Electronic Engineering, University of Cagliari, P.zza d’Armi, 09123 Cagliari, Italye-mail: {giob,pisano,eusai}@diee.unica.it

A. Levant

Institute for Industrial Mathematics, 4/24 Yehuda Ha-Nachtom St., Beer-Sheva 84311, Israele-mail: levant@bgumail.bgu.ac.il

J. Dyn. Sys., Meas., Control 122(4), 738-745 (Feb 21, 2000) (8 pages) doi:10.1115/1.1321052 History: Received February 21, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Corless,  M., and Leitmann,  G., 1981, “Continuous State Feedback Guaranteeing Uniform Ultimate Boundedness for Uncertain Dynamical Systems,” IEEE Trans. Autom. Control, 26, pp. 1139–1141.
Doyle,  J., Zhou,  K., Glover,  K., and Bodenheimer,  B., 1994, “Mixed H2-H Performance Objectives I: Robust Performance Analysis,” IEEE Trans. Autom. Control, 39, No. 8, pp. 1564–1575.
Narendra, K. S., and Annaswamy, A. M., 1989, Stable Adaptive Systems, Prentice-Hall, Englewood Cliffs, NJ.
Serrani, A., and Isidori, A., 1999, “Global Output Regulation for a Class of Nonlinear Systems,” Proceedings, 38th Conference on Decision and Control CDC’99, Phoenix, AZ, pp. 1090–1095.
Slotine, J. J., and Li, W., 1991, Applied Nonlinear Control, Prentice-Hall International, Englewood Cliffs, NJ.
Utkin V. I., 1992. Sliding Modes in Control and Optimization, Springer-Verlag, Berlin.
Bartolini, G., Ferrara, A., Levant, A., and Usai, E., 1999, “On Second Order Sliding Mode Controllers,” Variable Structure Systems, Sliding Mode and Nonlinear Control, K. D. Young and U. Ozguner eds., Lecture Notes in Control and Information Sciences, Springer-Verlag, pp. 329–350.
De Carlo,  R., Zak,  S. H., and Matthews,  G. P., 1988, “Variable Structure Control of Nonlinear Multivariable Systems: A Tutorial,” Proc. IEEE, 76, pp. 212–232.
Levant,  A., 1993, “Sliding Order and Sliding Accuracy in Sliding Mode Control,” Int. J. Control, 58, pp. 1247–1263.
Bartolini,  G., and Pydynowsky,  P., 1996, “An Improved Chattering Free VSC Scheme for Uncertain Dynamical Systems,” IEEE Trans. Autom. Control, 41, pp. 1220–1226.
Bartolini,  G., Ferrara,  A., and Usai,  E., 1998, “Chattering Avoidance by Second Order Sliding Mode Control,” IEEE Trans. Autom. Control, 43, No. 2, pp. 241–246.
Hedrick,  J. K., and Misawa,  E. A., 1989, “Nonlinear Observers—A State-of-the-art Survey,” ASME J. Dyn. Syst., Meas., Control, 111, pp. 344–352.
Slotine,  J. J., Hedrick,  J. K., and Misawa,  E. A., 1987, “On Sliding Observers for Nonlinear Systems,” ASME J. Dyn. Syst., Meas., Control, 109, pp. 245–252.
Atassi,  N. A., and Khalil,  H. K., 1999, “A Separation Principle for the Stabilization of a Class of Nonlinear Systems,” IEEE Trans. Autom. Control, 44, pp. 1672–1687.
Isidori, A., 1989, Nonlinear Control Systems, Springer-Verlag, Berlin.
Sira-Ramirez,  H., 1992, “On the Sliding Mode Control of Nonlinear Systems,” Syst. Control Lett.,19, pp. 303–312.
Yu,  X., and Xu,  J. X., 1996, “Nonlinear Derivative Estimator,” Electron. Lett., 32, pp. 16–17.
Bartolini, G., Ferrara, A., and Usai E., 1998, “Real-Time Output Derivatives Estimation by Means of Higher Order Sliding Modes,” Proceedings, IEEE-IMACS Multiconference CESA’98, Hammameth, Tunisia, pp. 782–787.
Bartolini,  G., Pisano,  A., and Usai,  E., 2000, “First and Second Derivative Estimation by Sliding Mode Technique,” J. Signal Process., 4, No. 2, pp. 167–176.
Levant,  A., 1998, “Robust Exact Differentiation via Sliding Mode Technique,” Automatica, 34, No. 3, pp. 379–384.
Bartolini,  G., Ferrara,  A., and Usai,  E., 1997, “Applications of a SubOptimal Discontinuous Control Algorithm for Uncertain Second Order Systems,” Int. J. of Robust and Nonlinear Control,7, No. 4, pp. 299–319.
Levant,  A., 2000, “Variable Measurement Step in 2-Sliding Control” Kybernetica,36, No. 1, pp. 77–93.

Figures

Grahic Jump Location
The differentiator scheme
Grahic Jump Location
The overall observer-controller scheme
Grahic Jump Location
The sliding variable and its estimate
Grahic Jump Location
The actual control and the equivalent control

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In