Article (Scientific journals)
Trading the Stability of Finite Zeros for Global Stabilization of Nonlinear Cascade Systems
Sepulchre, Rodolphe; Arcak, Murat; Teel, Andrew R.
2002In IEEE Transactions on Automatic Control, 47 (3), p. 521-525
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Keywords :
Nonlinear cascades; peaking; stabilization
Abstract :
[en] This note analyzes the stabilizability properties of nonlinear cascades in which a nonminimum phase linear system is interconnected through its output to a stable nonlinear system. It is shown that the instability of the zeros of the linear system can be traded with the stability of the nonlinear system up to a limit fixed by the growth properties of the cascade interconnection term. Below this limit, global stabilization is achieved by smooth static-state feedback. Beyond this limit, various examples illustrate that controllability of the cascade may be lost, making it impossible to achieve large regions of attractions.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Arcak, Murat;  Rensselaer Polytechnic Institute, Troy, NY 12180-3590 USA > Computer, and Systems Engineering Department
Teel, Andrew R.;  University of California, Santa Barbara, CA 93106-9560 USA > Center for Control Engineering and Computation
Language :
English
Title :
Trading the Stability of Finite Zeros for Global Stabilization of Nonlinear Cascade Systems
Publication date :
March 2002
Journal title :
IEEE Transactions on Automatic Control
ISSN :
0018-9286
Publisher :
IEEE, Piscataway, United States - New Jersey
Volume :
47
Issue :
3
Pages :
521-525
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 17 December 2010

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