H∞-control theory of fluid dynamics

被引：35

作者：

Barbu, V ^{[1
]}

Sritharan, SS

机构：

[1] Univ Iasi, Dept Math, Iasi, Romania

[2] Space & Naval Warfare Syst Ctr, San Diego, CA 92152 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1998年 / 454卷 / 1979期

关键词：

robust control; control of fluids; active flow control; H-infinity control; Hamilton-Jacobi theory; Hamiltonian systems;

D O I：

10.1098/rspa.1998.0289

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Robust (or H-infinity-) control theory has been an expanding subject in recent years because of its wide applications and its close connection to operator theory on Hardy spaces. We develop an H-infinity-control theory for fluid dynamics. Our result establishes that if the H-infinity-control problem for the linearized Navier-Stokes equation has a gamma-suboptimal solution, then the corresponding H-infinity-control problem for the nonlinear system has a solution for small perturbations of the steady solution. The proof relies on the existence of positively invariant manifolds for certain Hamiltonian systems.

引用

页码：3009 / 3033

页数：25