Performance of a linear robust control strategy on a nonlinear model of spatially developing flows

• Published in: Journal of fluid mechanics Vol. 512; no. august; pp. 343 - 374
• Main Authors: LAUGA, ERIC, BEWLEY, THOMAS R.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.08.2004; Cambridge University Press (CUP)
• Subjects: Engineering Sciences; Exact sciences and technology; Flow control; Flow system; Fluid dynamics; Fluid mechanics; Fluids mechanics; Fundamental areas of phenomenology (including applications); Jets; Mechanics; Physics; Rotational flow and vorticity; Separated flows; Turbulent flows, convection, and heat transfer; Wakes; Vortex shedding; Non linear model; Hydrodynamic instability; Flow control; Wakes; Jets; Selfoscillation; Modelling; Vortex flow; Ginzburg Landau equation

This paper investigates the control of self-excited oscillations in spatially developing flow systems such as jets and wakes using ${\mathcal H}_{\infty}$ control theory on a complex Ginzburg–Landau (CGL) model. The coefficients used in this one-dimensional equation, which serves as a simple model o...