Global observer design for Navier-Stokes equations in 2D

被引：2

作者：

Zayats, Mykhaylo ^{[1
]}

Fridman, Emilia ^{[2
]}

Zhuk, Sergiy ^{[1
]}

机构：

[1] IBM Res Europe, Dublin, Ireland

[2] Tel Aviv Univ, Dept Elect Engn Syst, Tel Aviv, Israel

来源：

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

关键词：

NONLINEAR DISSIPATIVE SYSTEMS; FINITE DETERMINING PARAMETERS; FEEDBACK-CONTROL;

D O I：

10.1109/CDC45484.2021.9683275

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider Navier-Stokes equations on a rectangle with periodic boundary conditions, and known input. Given continuous measurements as averages of NSE' solution over a set of squares we design a globally converging observer for NSE by relying upon Lyapunov method: we propose a parametric LMI for determining observer's gain and size of squares, required for the global convergence. We illustrate the numerical efficacy of our algorithm by applying it to estimate states of NSE with Kolmogorov forcing.

引用

页码：1862 / 1867

页数：6

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