非线性系统解耦原则及实施

本文给定输出的一个分划,寻找反馈规律,使得控制系统分解成若干个平行的、独立作用 的子系统,这就是控制系统的反馈(块)解耦问题.对于由微分代数语言描述的非线性输入输 出控制系统,证明了它具有其本身所固有的解耦结构,当且仅当给定的分划与这个解耦结构相 "匹配"时.系统可达到解耦.对于由状态空间方程所描述的非线性系统,本文用动态扩张算法 给出了其解耦结构的构造.

The Principle and Implementation of Decoupling for Nonlinear Systems

Given an output partition, finding (if possible) a feedback control law such that the compensated system is decomposed into several parellel and indePehdent subsystems this is the usual formulation of the block decoupling problem of control systems. For nonlinear input-output control systems described by differential algebraic terms, we show thatthey possess their own inherent decoupling structures. A system can be decoupled if and only if the given partition "matches" the decoupling structure. And, for nonlinear systems in state spare equations, we can explicitly construct the decoupling structures by emplopiag the dynamic extension algorithm.