Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6450
Title: Control of Nonlinear Systems Represented by Galerkin Models Using Adaptation-based Linear Parameter-varying Models
Authors: Kasnakoğlu, Coşku
Keywords: Adaptation
cavity flow
flow control
Galerkin systems
H-infinity control
linear parameter varying (LPV) systems
self scheduling
Issue Date: 2010
Publisher: Inst Control Robotics & Systems, Korean Inst Electrical Engineers
Abstract: This paper studies the control of nonlinear Galerkin systems, which are an important class of nonlinear systems that arise in reduced-order modeling of infinite-dimensional systems. A novel approach is proposed in which a linear parameter-varying (LPV) model representing the Galerkin model is built, where the parameter variation is dictated by a specially designed adaptation scheme. The controller design is then carried out on the simpler LPV model, instead of dealing directly with the complicated nonlinear Galerkin system. An automatically scheduled H-infinity controller is designed using the LPV model, and it is proven that this controller will indeed achieve the desired stabilization when applied to the nonlinear Galerkin model. The approach is illustrated with an example on cavity flow control, where the design is seen to produce satisfactory results in suppressing unwanted oscillations.
URI: https://doi.org/10.1007/s12555-010-0406-2
https://hdl.handle.net/20.500.11851/6450
ISSN: 1598-6446
Appears in Collections:Elektrik ve Elektronik Mühendisliği Bölümü / Department of Electrical & Electronics Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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