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General Normal Form and Stabilization of Nonlinear Systems

  • Zhang Lijun ,
  • Cheng Daizhan
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  • Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China

Received date: 2002-05-10

  Online published: 2003-03-10

Supported by

supported partly by G1998020308 of China

Abstract

A generalized normal form of SISO nonlinear comtrol systems,called the generalized Byrnes-Isidori canonical form,is obtained by proposing a generalized relative degree,namely,the point relative degree.For the systems with minimum phase,a sufficient condition is provided to assure the stabilizability.For the system with non-minimum phase zero dynamics,the center manifold approach is applied.It is shown that the stabilization technique via designed center manifold,is still applicable to this kind of general nonlinear control systems.

Cite this article

Zhang Lijun , Cheng Daizhan . General Normal Form and Stabilization of Nonlinear Systems[J]. Journal of University of Chinese Academy of Sciences, 2003 , 20(2) : 212 -222 . DOI: 10.7523/j.issn.2095-6134.2003.2.015

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