多输入非线性控制系统线性化递推算法

A Recusive Algorithm for Linearization of Nonlinear Control Systems with Multi-inputs

本篇讨论多输入非线性控制系统线性化的递推算法.采用这种算法,每一步仅需求解一个同一类型的常微分方程组.而且方程的阶次一般都比较低.而已有的方法,为了实现线性化就必需一次性地求解一个高阶次的偏微分方程组,无疑这往往是很困难的.在递推算法的实施过程中,一些非线性系统的重要性质自然地显示了出来.

This paper discusses the linearization of nonlinear control systems with multi-inputs.By means of a recusive algorithm, each step only needs to solve a set of ordinary differential equations with lower orders, rather than to solve a set of partial differential equations with higher orders as in the old method.It is no doubt that to solve partial differential equations with high orders is much more difficult.In the process of the recusive algorithm some important properties of nonlinear control systems are discovered naturally.