NDLI: Backstepping control of an aeroelastic system with large Mach numbers

Content Provider	IEEE Xplore Digital Library
Author	Sezgin, A. Krstic, M.
Copyright Year	2013
Description	Author affiliation: Dept. of Mech. & Aerosp. Eng., Univ. of California, San Diego, La Jolla, CA, USA (Krstic, M.) \|\| Dept. of Mech. Eng., Istanbul Univ., Istanbul, Turkey (Sezgin, A.)
Abstract	We design a controller for flow-induced vibrations of an infinite-band membrane, with flow running across the band and only above it, and with actuation only on the trailing edge of the membrane. Due to the infinite length of the membrane, the dynamics of the membrane in the spanwise direction are neglected, namely, we employ a 1-D model that focuses on streamwise vibrations. This framework is inspired by a flow along an airplane wing with actuation on the trailing edge. The model of the flow-induced vibration is given by a wave PDE with an anti-damping term throughout the 1-D domain. Such a model is based on linear aeroelastic theory for Mach numbers above 0.8. To design a controller we introduce a 3-stage backstepping transformation. The first stage gets the system to a critically anti-damped wave equation, changing the stiffness coefficient's value but not its sign. The second stage changes the system from a critically anti-damped to a critically damped equation with an arbitrary damping coefficient. The third stage adjusts stiffness arbitrarily. The controller and backstepping transformation map the original system into a target system given by a wave equation with arbitrary positive damping and stiffness.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	3020
Ending Page	3025
File Size	138996
Page Count	6
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6760342
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Backstepping Mathematical model Vibrations Damping Equations Propagation Partial differential equations
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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