Data-Based System Analysis and Control of Flat Nonlinear Systems

被引：20

作者：

Alsalti, Mohammad ^{[1
]}

Berberich, Julian ^{[2
]}

Lopez, Victor G. ^{[1
]}

Allgoewer, Frank ^{[2
]}

Mueller, Matthias A. ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Automat Control, D-30167 Hannover, Germany

[2] Univ Stuttgart, Inst Syst Theory & Automat Control, D-70550 Stuttgart, Germany

来源：

2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2021年

基金：

欧洲研究理事会;

关键词：

D O I：

10.1109/CDC45484.2021.9683327

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Willems et al. showed that all input-output trajectories of a discrete-time linear time-invariant system can be obtained using linear combinations of time shifts of a single, persistently exciting, input-output trajectory of that system. In this paper, we extend this result to the class of discrete-time single-input single-output flat nonlinear systems. We propose a data-based parameterization of all trajectories using only input-output data. Further, we use this parameterization to solve the data-based simulation and output-matching control problems for the unknown system without explicitly identifying a model. Finally, we illustrate the main results with numerical examples.

引用

页码：1484 / 1489

页数：6

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