NDLI: Adaptive feedback linearizing control of proper orthogonal decomposition nonlinear flow models

Content Provider	IEEE Xplore Digital Library
Author	Singh, S.N. Myatt, J.H. Addington, G.A. Banda, S. Hall, J.K.
Copyright Year	2001
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Nevada Univ., Las Vegas, NV, USA (Singh, S.N.)
Abstract	This paper treats the question of feedback linearizing control of two-dimensional incompressible, unsteady wake flow. For definiteness, flow past a circular cylinder is considered, but the design approach presented here is applicable to other flow control problems. Two finite-dimensional lower order models based on proper orthogonal decomposition (POD) of dimension N with N actuators are considered. Models I and II are obtained using control function and penalty function methods, respectively. Control action can be achieved by a combination of suction, injection, and synthetic jets. For the design of controllers, it is assumed that the system matrices of the POD models are unknown. Nonlinear adaptive control systems for the two models are derived. For model I, nontrivial zero-error dynamics exists, which play a key role in the stability of the closed-loop system. But for model II, global adaptive trajectory control is achieved. In the closed-loop system, the mode amplitudes asymptotically follow the reference trajectories. Simulation results for a 4-mode POD model obtained using the penalty function method are presented. These results show that in the closed-loop system, unsteadiness in the mode amplitudes can be suppressed in spite of large uncertainties in the flow model.
Sponsorship	American Autom. Control Council
Starting Page	1533
Ending Page	1538
File Size	432023
Page Count	6
File Format	PDF
ISBN	0780364953
ISSN	07431619
DOI	10.1109/ACC.2001.945944
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Programmable control Adaptive control Linear feedback control systems Actuators Velocity control Feedback control Laboratories Matrix decomposition Nonlinear dynamical systems Stability
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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