Flow Control by Feedback

Ole Morten Aamo and Miroslav Krstic

Springer, 2002, ISBN 1-85233-669-2

Tentative Price: $80

Preface

From Springer back cover:

The emergence of flow control as a field of research is owed to breakthroughs in MEMS technology, allowing instrumentation of flows on extremely short length and time scales. Dedicated to tools for control algorithm design, the book brings together control theoretic and fluid mechanics expertise in an exhaustive exposition of existing research results on stabilization and mixing of fluid flows.

The contents structure is ideal for instruction on flow control as a module in fluid dynamics courses, nonlinear control courses, or courses on infinite dimensional systems. For this purpose, the book includes self contained introductory sections on Navier-Stokes equations, linear and nonlinear control, and MEMS actuators and sensors.

Contents

1. INTRODUCTION

2. GOVERNING EQUATIONS
Kinematics * Conservation of Mass * Conservation of Momentum * Dimensionless Navier-Stokes * Linearized Navier-Stokes * Prototype Flows * Spatial Discretization

3. CONTROL THEORETIC PRELIMINARIES
LTI Systems (LQG, H-infinity) * Nonlinear Systems (Lyapunov, Backsteppipng)

4. STABILIZATION
Linearization and Reduced Order Methods * Spatial Invariance Yields Localized Control * Lyapunov stabilization approach * Suppression of Vortex Shedding

5. MIXING
Dynamical Systems Approach * Destabilization of 2D Channel Flow * Optimal Mixing in 3D Pipe Flow * Particle Dispersion in Bluff Body Wakes

6. SENSORS AND ACTUATORS
Controlling Small-Scale Features * MEMS Sensors and Actuators

BIBLIOGRAPHY

INDEX

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