Design of Poiseuille Flow Controllers Using the Method of Inequalities

作     者：John McKernan James F. Whidborne George Papadakis 

作者机构：Department of Mechanical Engineering King s College London Strand Department of Aerospace Sciences Cranfield University 

出 版 物：《International Journal of Automation and computing》 (国际自动化与计算杂志（英文版）)

年 卷 期：2009年第6卷第1期

页      码：14-21页

摘      要：This paper investigates the use of the method of inequalities （MoI） to design output-feedback compensators for the problem of the control of instabilities in a laminar plane Poiseuille flow. In common with many flows, the dynamics of streamwise vortices in plane Poiseuille flow are very non-normal. Consequently, small perturbations grow rapidly with a large transient that may trigger nonlinearities and lead to turbulence even though such perturbations would, in a linear flow model, eventually decay. Such a system can be described as a conditionally linear system. The sensitivity is measured using the maximum transient energy growth, which is widely used in the fluid dynamics community. The paper considers two approaches. In the first approach, the MoI is used to design low-order proportional and proportional-integral （PI） controllers. In the second one, the MoI is combined with McFarlane and Glover＇s H∞ loop-shaping design procedure in a mixed-optimization approach.

主 题 词：Transient energy growth transient behaviour flow control Poiseuille flow method of inequalities (MoI) mixed opti-mization H∞-optimization. 

学科分类：0711[理学-心理学类] 07[理学] 08[工学] 081101[081101] 0811[工学-水利类] 071102[071102] 081103[081103] 

核心收录：

D　O　I：10.1007/s11633-009-0014-x

馆 藏 号：203517551...