Necessary and Sufficient Conditions for Difference Flatness

被引：4
|
作者：
Kolar, Bernd [1 ]
Diwold, Johannes [1 ]
Schoeberl, Markus [1 ]
机构：
[1] Johannes Kepler Univ Linz, Inst Automat Control & Control Syst Technol, A-4040 Linz, Austria
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 03期
基金：
奥地利科学基金会;
关键词：
Discrete-time systems; Feedback linearization; Jacobian matrices; Algebra; Task analysis; Nonlinear systems; Manifolds; Difference flatness; differential geometric methods; discrete-time systems; feedback linearization; nonlinear control systems; normal forms; DISCRETE-TIME-SYSTEMS; LINEARIZATION;
D O I：
10.1109/TAC.2022.3151615
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, we show that the flatness of a nonlinear discrete-time system can be checked by computing a unique sequence of involutive distributions. The well-known test for static feedback linearizability is included as a special case. Since the computation of the sequence of distributions requires only the solution of algebraic equations, it allows an efficient implementation in a computer algebra program. In case of a positive result, a flat output can be obtained by straightening out the involutive distributions with the Frobenius theorem.
引用
收藏
页码：1715 / 1721
页数：7
相关论文
共 50 条
12345