Observe-Based Projective Synchronization of Chaotic Complex Modified Van Der Pol-Duffing Oscillator With Application to Secure Communication

2015 ◽  
Vol 10 (5) ◽  
Author(s):  
Ping Liu ◽  
Hongjun Song ◽  
Xiang Li
Keyword(s):  
Secure Communication ◽  
Chaotic Behavior ◽  
Design Method ◽  
Duffing Oscillator ◽  
Scaling Factor ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Projective Synchronization ◽  
Chaotic Oscillator ◽  
Van Der Pol

This paper addresses the projective synchronization (PS) of the complex modified Van der Pol-Duffing (MVDPD for short) chaotic oscillator by using the nonlinear observer control and also discusses its applications to secure communication in theory. First, we construct the complex MVDPD oscillator and analysis its chaotic behavior. Moreover, an observer design method is applied to achieve PS of two identical MVDPD chaotic oscillators with complex offset terms, which are synchronized to the desired scale factor. The unpredictability of the scaling factor could further enhance the security of the communication. Finally, numerical simulations are given to demonstrate the effectiveness and feasibility of the proposed synchronization approach and also verify the success application to the proposed scheme’s in the secure communication.

Projective Synchronization of a Modified Coupled Dynamos System

2012 ◽  
Vol 466-467 ◽  
pp. 1261-1265
Author(s):  
Chun Mei Wang ◽  
Ren Long Chang
Keyword(s):  
Chaotic System ◽  
Design Procedure ◽  
Scaling Factor ◽  
Drive System ◽  
Observer Design ◽  
Projective Synchronization ◽  
Pole Placement ◽  
Systematic Design ◽  
Unified Chaotic System ◽  
Placement Technique

Based on techniques from the state observer design and the pole placement technique, we present a systematic design procedure to synchronize a modified coupled dynamos system by a scaling factor ( projective synchronization ). Compared with the method proposed by Wen and Xu, this method eliminates the nonlinear item from the output of the drive system. Furthermore, the scaling factor can be adjusted arbitrarily in due course of control without degrading the controllability. Finally, feasibility of the technique is illustrated for the unified chaotic system.

Generalized Hybrid Dislocated Function Projective Synchronization of Chaotic Systems with Time Delay

2014 ◽  
Vol 574 ◽  
pp. 672-678 ◽  
Author(s):  
Rui Li ◽  
Guang Jun Zhang ◽  
Tao Zhu ◽  
Xu Jing Wang ◽  
Jun Dong
Keyword(s):  
Time Delay ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Factor ◽  
Projective Synchronization ◽  
Feedback Gain ◽  
Uncertain Parameters ◽  
Function Projective Synchronization ◽  
Feedback Control Method

In order to improve the security of secure communication, a novel generalized hybrid dislocated function projective synchronization (GHDFPS) was proposed and GHDFPS of time delay chaotic systems with uncertain parameters were researched in this paper. Due to time delay, the chaotic system can produce multiple positive Lyapunov exponential; this characteristic can enhance security in secure communications noticeably. Based on Lyapunove stability theory and modified hybrid feedback control method, the modified hybrid feedback controller and the parameter updating laws were designed for the GHDFPS between the two time delay chaotic systems with uncertain parameters. The feedback gain can be adjusted automatically according to the synchronization error values. Under the controller, generalized hybrid dislocated function projective synchronization of the two chaotic systems is achieved, and the uncertain parameters of response systems are identified. The chaotic item is added in the function scale factor. The chaotic item in the function scaling factor makes function scaling factor more complex and unpredictable. So this can enhance the features of indeterminism in secure communication. The time delay feedback Lorenz system as an example; by numerical simulations the effectiveness of the proposed method is demonstrated.

scholarly journals Development of Fuzzy Observer Gain Design Algorithm for Ship Path Estimation Based on AIS Data

Processes ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 33
Author(s):  
Chin-Lin Pen ◽  
Wen-Jer Chang ◽  
Yann-Horng Lin
Keyword(s):  
Dynamic Systems ◽  
Design Method ◽  
Fuzzy Model ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Automatic Identification ◽  
Identification System ◽  
Design Algorithm ◽  
Fuzzy Observer ◽  
Takagi Sugeno

This paper develops a Takagi-Sugeno fuzzy observer gain design algorithm to estimate ship motion based on Automatic Identification System (AIS) data. Nowadays, AIS data is widely applied in the maritime field. To solve the problem of safety, it is necessary to accurately estimate the trajectory of ships. Firstly, a nonlinear ship dynamic system is considered to represent the dynamic behaviors of ships. In the literature, nonlinear observer design methods have been studied to estimate the ship path based on AIS data. However, the nonlinear observer design method is challenging to create directly since some dynamic ship systems are more complex. This paper represents nonlinear ship dynamic systems by the Takagi-Sugeno fuzzy model. Based on the Takagi-Sugeno fuzzy model, a fuzzy observer design method is developed to solve the problem of estimating using AIS data. Moreover, the observer gains of the fuzzy observer can be adjusted systemically by a novel algorithm. Via the proposed algorithm, a more suitable or better observer can be obtained to achieve the objectives of estimation. Corresponding to different AIS data, the better results can also be obtained individually. Finally, the simulation results are presented to show the effectiveness and applicability of the proposed fuzzy observer design method. Some comparisons with the previous nonlinear observer design method are also given in the simulations.

A Distributed Nonlinear Observer Design Method for Output Estimation in Nonlinear Systems

2011 ◽  
Author(s):  
Javad Mohammadpour ◽  
Ali Hooshmand ◽  
Heidar Malki ◽  
Karolos Grigoriadis ◽  
Robert Provence
Keyword(s):  
Nonlinear Systems ◽  
Design Method ◽  
Observer Design ◽  
Nonlinear Observer

IMPULSIVE SYNCHRONIZATION FOR A NEW CHAOTIC OSCILLATOR

2007 ◽  
Vol 17 (02) ◽  
pp. 617-623 ◽  
Author(s):  
SINUHÉ BENÍTEZ ◽  
LEONARDO ACHO
Keyword(s):  
Impulsive Control ◽  
Chaotic Behavior ◽  
Polynomial System ◽  
Van Der Pol Oscillator ◽  
Chaotic Oscillator ◽  
Third Order ◽  
Van Der Pol ◽  
Impulsive Synchronization ◽  
Jerk System ◽  
Fourier Spectrum Analysis

Synchronization for a new proposed chaotic system based on impulsive control theory is presented. This new chaotic oscillator is a third order polynomial system (Jerk system), which was developed after the addition of a third state and innovation terms to the well known second order Van der Pol oscillator. The chaotic behavior of this new system is confirmed by using Lyapunov exponents, Poincaré maps, Fourier spectrum analysis and numerical experiments. Impulsive synchronization is achieved using just one channel of communication.

Passivity-Based Disturbance Observer Design

2020 ◽  
Author(s):  
Ying-Chun Chen ◽  
Craig Woolsey
Keyword(s):  
Disturbance Observer ◽  
Design Method ◽  
Estimation Error ◽  
Parameter Tuning ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Design Parameters ◽  
Nonlinear Feedback ◽  
Initial Application ◽  
Wide Range

Abstract A design method is proposed for a nonlinear disturbance observer based on the notion of passivity. As an initial application, we consider here systems whose structure comprises a set of integrator cascades, though the proposed approach can be extended to a larger class of systems. We describe an explicit procedure to choose the output of the system and to design the nonlinear feedback law used by the observer, provided the system satisfies a sufficient condition for output feedback semi-passification. The output injection term in the observer scales the measurement residual with a nonlinear gain that depends on the output and a set of static design parameters. We provide guidance for parameter tuning such that the disturbance tracking performance and the transient response of the estimation error can be intuitively adjusted. Example applications to two nonlinear mechanical systems illustrate that the proposed nonlinear observer design method is quite effective, producing an observer that can estimate a wide range of disturbances without any need to know or assume the disturbance dynamics.

CHAOTIC SECURE COMMUNICATION WITH QUADRATIC OPTIMAL PERFORMANCE VIA LMI-BASED OBSERVER DESIGN

2010 ◽  
Vol 20 (10) ◽  
pp. 3311-3322 ◽  
Author(s):  
CHAIO-SHIUNG CHEN
Keyword(s):  
Secure Communication ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Linear Matrix ◽  
External Disturbances ◽  
Global Synchronization ◽  
Parameter Mismatch ◽  
Control Approach ◽  
Quadratic Optimal Control ◽  
Chaotic Secure Communication

This paper considers an observer-based secure communication of chaotic systems with parameter mismatch, parametric perturbations and external disturbances on both transmitter and receiver systems. Based on the quadratic optimal control approach, a nonlinear observer is constructed to realize chaotic synchronization. The sufficient criterion for stability condition is formulated in two linear matrix inequality (LMI) forms. The error of the recovered message is then stated in an H∞ criterion. Using the proposed scheme, the global synchronization between the transmitter and the receiver can be obtained. Furthermore, the quadratic optimal and robust performance could be achieved in the chaos-based secure communication. Two numerical simulations of the Chua's circuit and the Rössler system verify the effectiveness of the proposed scheme.

PROJECTIVE SYNCHRONIZATION OF A CLASS OF CHAOTIC SYSTEMS BASED ON OBSERVER

2011 ◽  
Vol 25 (28) ◽  
pp. 3765-3771 ◽  
Author(s):  
XING-YUAN WANG ◽  
XIN-GUANG LI
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Design Procedure ◽  
Scaling Factor ◽  
Observer Design ◽  
Projective Synchronization ◽  
Pole Placement ◽  
Systematic Design ◽  
Unified Chaotic System ◽  
Placement Technique

Based on techniques from the state observer design and the pole placement technique, we present a systematic design procedure to synchronize a class of chaotic systems by a scaling factor (projective synchronization). Compared with the method proposed by Wen and Xu, this method eliminates the nonlinear item from the output of the drive system. Furthermore, the scaling factor can be adjusted arbitrarily in due course of control without degrading the controllability. Finally, feasibility of the technique is illustrated for the unified chaotic system.

A nonlinear fractional-order H∞ observer for SOC estimation of battery pack of electric vehicles

2021 ◽  
pp. 095440702199434
Author(s):  
Wei Yue ◽  
Cong-zhi Liu ◽  
Liang Li ◽  
Xiang Chen ◽  
Fahad Muhammad
Keyword(s):  
Fractional Order ◽  
Estimation Method ◽  
Equivalent Circuit Model ◽  
Lithium Ion ◽  
Open Circuit ◽  
Design Criterion ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Battery Pack ◽  
Soc Estimation

This work is focused on designing a fractional-order [Formula: see text] observer and applying it into the state of charge (SOC) estimation for lithium-ion battery pack system. Firstly, a fractional order equivalent circuit model based on the fractional capacitor is established and identified. Secondly, the SOC estimation method based on the fractional-order [Formula: see text] observer is proposed. The nonlinear intrinsic relationship between the open-circuit voltage and SOC is described as a polynomial function, and its Lipschitz proposition has been discussed. Then, the nonlinear observer design criterion is established based on the Lyapunov method. Finally, the effectiveness of the proposed method is verified with high accuracy and robustness by the experiment results.

Sign in / Sign up

Export Citation Format

Share Document