[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
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