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Title: Observer based LQ optimal boundary control of 2D heat flow by order reduction
Authors: Efe, Mehmet Önder
Issue Date: 2007
Publisher: Institute of Electrical and Electronics Engineers Inc.
Source: 2007 9th European Control Conference, ECC 2007, 2 July 2007 through 5 July 2007, , 111730
Abstract: Linear Quadratic (LQ) optimal boundary control of a 2D heat flow is studied. The design is carried out on a reduced order model of the Partial Differential Equation (PDE) process. For this purpose, Proper Orthogonal Decomposition (POD) technique is utilized and the Low Dimensional (LD) model is derived. The boundary controller is developed using the state information obtained via an observer. An infinite dimensional version of the observer is developed first and its finite dimensional counterpart is derived according to POD procedure. Having obtained the states of the system, a LQ optimal control approach is followed to demonstrate that the entire design works satisfactorily under the presence of noise, uncertainty and disturbances. The contribution of the paper is to draw a clear path between a spatially continuous process and an optimal boundary controller minimizing a quadratic cost, and the emphasis on the merits of POD based designs. © 2007 EUCA.
ISBN: 9783952417386
Appears in Collections:Elektrik ve Elektronik Mühendisliği Bölümü / Department of Electrical & Electronics Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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