航空学报 > 1991, Vol. 12 Issue (4): 140-147

具有多输入和扰动作用的非线性系统的前馈/反馈线性化

胡明华   

  1. 南京航空学院
  • 收稿日期:1989-07-26 修回日期:1990-01-12 出版日期:1991-04-25 发布日期:1991-04-25

FEEDFORWARD AND FEEDBACK LINEARIZATION OF NON-LINEAR SYSTEM WITH MULTI-INPUT AND DISTURBANCES

Hu Minghua   

  1. Nanjing Aeronautical Institute
  • Received:1989-07-26 Revised:1990-01-12 Online:1991-04-25 Published:1991-04-25

摘要: 研究了具有多输入和扰动作用的非线性系统的线性化问题。对这类非线性系统,利用非线性前馈和反馈的方法,对状态空间坐标和控制输入空间坐标的变换,从而获得与之等价的可控准线性系统:z=Az+Bv+ρ(z)d。讨论了这类非线性系统前馈/反馈线性化的具体步骤,并给出了一个算例。

关键词: 非线性, 多输入, 前馈/反馈, 线性化

Abstract: The problem of transforming nonlinear systems with multi-input and input disturbances to their linear equivalents is investigated. A characterization of the class of nonlinear systems with disturbances that are equivalent to controllable quasi-linear systems with disturbances, z =Az + Bv + P(z)d, is given. The necessary transformations (changing state space coordinate and control input-space coordinate by nonlinear feedforward and feedback)are presented and their implications for control system synthesis are discussed. Finally, a numerical example is given.

Key words: nonlinear, multi-input, feedforward/feedback, linearization