DocumentCode :
1258873
Title :
Output-input stability and minimum-phase nonlinear systems
Author :
Liberzon, Daniel ; Morse, A. Stephen ; Sontag, Eduardo D.
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
Volume :
47
Issue :
3
fYear :
2002
fDate :
3/1/2002 12:00:00 AM
Firstpage :
422
Lastpage :
436
Abstract :
This paper introduces and studies the notion of output-input stability, which represents a variant of the minimum-phase property for general smooth nonlinear control systems. The definition of output-input stability does not rely on a particular choice of coordinates in which the system takes a normal form or on the computation of zero dynamics. In the spirit of the "input-to-state stability" philosophy, it requires the state and input of the system to be bounded by a suitable function of the output and derivatives of the output, modulo a decaying term depending on initial conditions. The class of output-input stable systems thus defined includes all affine systems in global normal form whose internal dynamics are input-to-state stable and also all left-invertible linear systems whose transmission zeros have negative real parts. As an application, we explain how the new concept enables one to develop a natural extension to nonlinear systems of a basic result from linear adaptive control
Keywords :
adaptive control; asymptotic stability; cascade systems; feedback; nonlinear control systems; observability; robust control; adaptive control; asymptotic stability; cascade systems; detectability; feedback; input-to-state stability; minimum phase system; nonlinear control system; observability; relative degree; stabilization; Adaptive control; Control systems; Filtering theory; Linear systems; MIMO; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.989070
Filename :
989070
Link To Document :
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