A new definition of the minimum-phase property for nonlinear systems, with an application to adaptive control

被引：0
|
作者：
Liberzon, D [1 ]
Morse, AS [1 ]
Sontag, ED [1 ]
机构：
[1] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA
来源：
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 2000年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We introduce a new definition of the minimum-phase property for general smooth nonlinear control systems. The definition does not rely on a particular choice of coordinates in which the system takes a normal form or on the computation of zero dynamics. It requires the state and the 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 minimum-phase 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. We explain how the new concept enables one to develop a natural extension to nonlinear systems of a basic result from linear adaptive control.
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页码：2106 / 2111
页数：6
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