Constructive Lyapunov stabilization of nonlinear cascade systems

Jankovic, M.; Sepulchre, Rodolphe; Kokotovic, Petar V.

doi:10.1109/9.545712

Download

Article (Scientific journals)

Constructive Lyapunov stabilization of nonlinear cascade systems

Jankovic, M.; Sepulchre, Rodolphe; Kokotovic, Petar V.

1996 • In IEEE Transactions on Automatic Control, 41 (12), p. 1723-1735

Peer Reviewed verified by ORBi

Permalink
https://hdl.handle.net/2268/78174

DOI
10.1109/9.545712

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

JSK96.pdf

Author preprint (17.01 MB)

Download

© IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Keywords :

Lyapunov functions; stabilization; cascade systems; recursive designs

Disciplines :

Electrical & electronics engineering

Author, co-author :

Jankovic, M.; Ford Scientific Research Laboratories, Dearborn MI (USA)

Sepulchre, Rodolphe ; University of California, Santa Barbara (USA) > Center for Control Engineering and Computation

Kokotovic, Petar V.; University of California, Santa Barbara (USA) > Center for Control Engineering and Computation

Language :

English

Title :

Constructive Lyapunov stabilization of nonlinear cascade systems

Publication date :

June 1996

Journal title :

IEEE Transactions on Automatic Control

ISSN :

0018-9286

Publisher :

IEEE, Piscataway, United States - New Jersey

Volume :

Issue :

Pages :

1723-1735

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 29 November 2010

Statistics

Number of views

95 (1 by ULiège)

Number of downloads

3560 (7 by ULiège)

More statistics

Scopus citations^®

219

Scopus citations^®
without self-citations

203

OpenCitations

200

Bibliography

C. I. Byrnes, A. Isidori, and J. C. Willems, "Passivity, feedback equivalence, and the global stabilization of minimum phase systems," IEEE Trans. Automat. Contr., vol. 36, pp. 1228-1240, 1991.
S. T. Glad, "Robustness of nonlinear state feedback - A survey," Automatica, vol. 23, pp. 425-435, 1987.
W. Hahn, Stability of Motion. Berlin: Springer-Verlag, 1967.
D. H. Jacobson, Extensions of Linear-Quadratic Control, Optimization and Matrix Theory. New York: Academic, 1977.
M. Jankovic, D. Fontaine, and P. V. Kokotovic, "TORA example: Cascade and passivity based control designs," in Proc. Automat. Contr. Conf., Seattle, WA, 1995, pp. 4347-4352;
also IEEE Trans. Contr. Syst. Technology, vol. 4, pp. 292-297, 1996.
M. Jankovic, R. Sepulchre, and P. V. Kokotovic, "Adaptive control of nonlinear cascade systems," in Proc. IFAC, San Francisco, CA, 1996;
also Automatica, to appear.
V. Jurdjevic and J. P. Quinn, "Controllability and stability," J. Differential Equations, vol. 28, pp. 381-389, 1987.
P. V. Kokotovic and H. J. Sussmann, "A positive real condition for global stabilization of nonlinear systems," Syst. Contr. Lett., vol. 13, pp. 125-133, 1989.
K. K. Lee and A. Arapostathis, "Remarks on smooth feedback stabilization of nonlinear systems," Syst. Contr. Lett., vol. 10, pp. 41-44, 1988.
W. Lin, "Input saturation and global stabilization by output feedback for affine systems," in Proc. 33rd CDC, Lake Buena Vista, FL, 1994, pp. 1323-1328.
F. Mazenc and L. Praly, "Adding an integration and global asymptotic stabilization of feedforward systems," in Proc. 33rd CDC, Lake Buena Vista, FL, 1994, pp. 121-126;
also IEEE Trans. Automat. Contr., to appear.
A. Saberi, P. V. Kokotovic, and H. J. Sussmann, "Global stabilization of partially linear composite systems," SIAM J. Contr. Optimization, vol. 28, no. 6, pp. 1491-1503, 1990.
R. Sepulchre, M. Jankovic, and P. V. Kokotovic, "Integrator forwarding: A new recursive nonlinear robust design," in Proc. IFAC '96, San Francisco, CA;
also Automatica, to appear.
E. D. Sontag, "Remarks on stabilization and input-to-state stability," in Proc. 28th CDC, 1989, pp. 1396-1378.
H. J. Sussmann and P. V. Kokotovic, "The peaking phenomenon and the global stabilization of nonlinear systems," IEEE Trans. Automat. Contr., vol. 36, pp. 424-439, 1991.
A. R. Teel, "Using saturation to stabilize a class of single-input partially linear composite systems," in Proc. IFAC NOLCOS, Bordeaux, France, 1992. New York: Pergamon, pp. 379-384.
_, "Semi-global stabilization of minimum phase nonlinear systems in special normal forms," Syst. Contr. Lett., vol. 19, pp. 187-192, 1992.
J. N. Tsitsiklis and M. Athans, "Guaranteed robustness properties of multivariable nonlinear stochastic optimal regulators," IEEE Trans. Automat. Contr., vol. 29, pp. 690-696, 1984.
C.-J. Wan, "Global stabilization of nonlinear gyroscopic systems," Ph.D. dissertation, Univ. Michigan, Ann Arbor, 1994.