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NONLINEAR ADAPTIVE ESTIMATION ANDITS APPLICATION TO SYNCHRONIZATION OF LORENZ SYSTEM

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Date Issued:
2004
Abstract/Description:
Synchronization and estimation of unknown constant parameters forLorenz-type transmitter are studied under the assumption that oneof the three state variables is not transmitted and thattransmitter parameters are not known apriori. An adaptivealgorithm is proposed to estimate both the state and systemparameters. Since Lorenz system shows the property of sensitivityto initial conditions and evolves in different mode with parametervariation, an equivalent system is introduced. The adaptiveobserver is designed based on this equivalent system without anyrequirement on initial conditions of the observer. It is shown byLyapunov arguments and persistent excitation analysis thatexponential stability of state and parameter estimation isguaranteed. Simulation results are included to demonstrateproperties of the algorithm. In a practical communication system,the received signals presented at the receiver part differ fromthose which were transmitted due to the effects of noise. Theproposed synchronization scheme is robust with regard to externalbounded disturbance. When an additive white gaussian noise (AWGN)channel model is considered, estimates of state and parameterconverge except for small errors. The results show promise ineither coherent detection or the message decoding intelecommunication systems.
Title: NONLINEAR ADAPTIVE ESTIMATION ANDITS APPLICATION TO SYNCHRONIZATION OF LORENZ SYSTEM.
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Name(s): Jin, Yufang, Author
Qu, Zhihua, Committee Chair
University of Central Florida, Degree Grantor
Type of Resource: text
Date Issued: 2004
Publisher: University of Central Florida
Language(s): English
Abstract/Description: Synchronization and estimation of unknown constant parameters forLorenz-type transmitter are studied under the assumption that oneof the three state variables is not transmitted and thattransmitter parameters are not known apriori. An adaptivealgorithm is proposed to estimate both the state and systemparameters. Since Lorenz system shows the property of sensitivityto initial conditions and evolves in different mode with parametervariation, an equivalent system is introduced. The adaptiveobserver is designed based on this equivalent system without anyrequirement on initial conditions of the observer. It is shown byLyapunov arguments and persistent excitation analysis thatexponential stability of state and parameter estimation isguaranteed. Simulation results are included to demonstrateproperties of the algorithm. In a practical communication system,the received signals presented at the receiver part differ fromthose which were transmitted due to the effects of noise. Theproposed synchronization scheme is robust with regard to externalbounded disturbance. When an additive white gaussian noise (AWGN)channel model is considered, estimates of state and parameterconverge except for small errors. The results show promise ineither coherent detection or the message decoding intelecommunication systems.
Identifier: CFE0000114 (IID), ucf:46187 (fedora)
Note(s): 2004-08-01
Ph.D.
College of Engineering and Computer Science, Department of Electrical and Computer Engineering
This record was generated from author submitted information.
Subject(s): Synchronization
Chaotic System
Adaptive
Observer
Persistent Link to This Record: http://purl.flvc.org/ucf/fd/CFE0000114
Restrictions on Access: public
Host Institution: UCF

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