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**1 - 1**of**1**### TOWARDS WIENER SYSTEM IDENTIFICATION WITH MINIMUM A-PRIORI INFORMATION

, 2011

"... The ability to construct accurate mathematical models of real systems is an important part of control systems design. A block oriented systems identification approach models the unknown system as interconnected linear and nonlinear blocks. The subject of this thesis is a particular configuration of ..."

Abstract
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The ability to construct accurate mathematical models of real systems is an important part of control systems design. A block oriented systems identification approach models the unknown system as interconnected linear and nonlinear blocks. The subject of this thesis is a particular configuration of these blocks referred to as a Wiener model. The Wiener model studied here is a cascade of an input linear block followed by a nonlinear block which then provides one output. We assume that the intermediate signal between the linear and nonlinear block is unknown, only the Wiener model input and output can be sampled. The difficulty of Wiener model identification is the interaction of the linear and nonlinear blocks. If one of the blocks is known then the intermediate signal can be produced and identification becomes much easier. Thus this thesis focuses on identification of the linear transfer function in a Wiener model. The question examined throughout the thesis is: given some “small ” amount of a priori information on the nonlinear part, what can we determine about the linear part? Examples of minimal a priori information are knowledge of only one point on the nonlinear characteristic, or the