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Trading the stability of finite zeros for global stabilization of nonlinear cascade systems

Sepulchre, R and Arcak, M and Teel, AR (2002) Trading the stability of finite zeros for global stabilization of nonlinear cascade systems. IEEE Transactions on Automatic Control, 47. pp. 521-525. ISSN 0018-9286

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Nonlinear cascades Peaking Stabilization
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:28
Last Modified: 08 Dec 2014 02:25
DOI: 10.1109/9.989153