General Normal Form and Stabilization of Nonlinear Systems
Received date: 2002-05-10
Online published: 2003-03-10
Supported by
supported partly by G1998020308 of China
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
张利军 , 程代展 . 非线性控制系统的一般形式及其稳定性(英文)[J]. 中国科学院大学学报, 2003 , 20(2) : 212 -222 . DOI: 10.7523/j.issn.2095-6134.2003.2.015
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.
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