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中国科学院大学学报 ›› 2003, Vol. 20 ›› Issue (2): 212-222.DOI: 10.7523/j.issn.2095-6134.2003.2.015

• 论文 • 上一篇    下一篇

非线性控制系统的一般形式及其稳定性(英文)

张利军, 程代展   

  1. 中国科学院系统科学研究所控制开放实验室, 北京 100080
  • 收稿日期:2002-05-10 发布日期:2003-03-10

General Normal Form and Stabilization of Nonlinear Systems

Zhang Lijun, Cheng Daizhan   

  1. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2002-05-10 Published:2003-03-10
  • Supported by:

    supported partly by G1998020308 of China

摘要:

给出了SISO非线控制系统的点相对阶的概念,以此得出一般Brrnes-Isidori标准形式.并对于具有最小相位非线性系统,给出了渐近稳定的充分条件;对于具有非最小相位系统,通过设计控制器来构建中心流形的方法,给出了其渐近稳定性的证明.

关键词: 稳定性, 相对阶, Byrnes-Isidori标准形式, 零动态, 中心流形

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.

Key words: stabilization, relative degree, Byrnes-Isidori normal form, zero dynamics, center manifold

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