论文标题

两输入平面非线性离散时间系统的正常形式

A Normal Form for Two-Input Flat Nonlinear Discrete-Time Systems

论文作者

Diwold, Johannes, Kolar, Bernd, Schöberl, Markus

论文摘要

我们表明,每个具有两个输入的扁平非线性离散时间系统都可以通过状态和输入转换转换为结构平坦的正常形式。这种正常形式具有三角形结构,并允许读取平面输出,以及通过平面输出及其前进的所有系统变量的参数化的系统构造。对于平坦的连续时间系统,不存在类似的正常形式。

We show that every flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterization of all system variables by the flat output and its forward-shifts. For flat continuous-time systems no comparable normal form exist.

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