非线性控制系统的一般形式及其稳定性(英文)

General Normal Form and Stabilization of Nonlinear Systems

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。

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.