State Estimator Design for 4D Lorenz-Stenflo Chaotic System via Single State Variable

2019 ◽  
Author(s):  
Hong-Yi Chen ◽  
Kun-Chieh Wang ◽  
Chi-Hsin Yang ◽  
Hui-Cun Shen
Keyword(s):  
Chaotic System ◽  
State Estimator ◽  
State Variable ◽  
Single State ◽  
Estimator Design

scholarly journals A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos

2017 ◽  
Vol 2017 ◽  
pp. 1-5
Author(s):  
Shiyun Shen ◽  
Meihua Ke ◽  
Ping Zhou
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Stable Equilibrium ◽  
Chaotic Attractors ◽  
Maximum Lyapunov Exponent ◽  
Asymptotically Stable ◽  
State Variable ◽  
Control Scheme ◽  
Single State ◽  
Linear Scalar

One 3D fractional-order chaotic system with only one locally asymptotically stable equilibrium is reported. To verify the chaoticity, the maximum Lyapunov exponent (MAXLE) with respect to the fractional-order and chaotic attractors are obtained by numerical calculation for this system. Furthermore, by linear scalar controller consisting of a single state variable, one control scheme for stabilization of the 3D fractional-order chaotic system is suggested. The numerical simulations show the feasibility of the control scheme.

Advanced State Estimator Design for an Active Suspension

2011 ◽  
Author(s):  
Stijn De Bruyne ◽  
Herman Van Der Auweraer ◽  
Jan Anthonis
Keyword(s):  
Active Suspension ◽  
State Estimator ◽  
Estimator Design

State Estimator Design for Multicomponent Batch Distillation Columns

2005 ◽  
Vol 83 (5) ◽  
pp. 433-444 ◽  
Author(s):  
U. Yildiz ◽  
U.A. Gurkan ◽  
C. Özgen ◽  
K. Leblebicioğlu
Keyword(s):  
Batch Distillation ◽  
State Estimator ◽  
Distillation Columns ◽  
Estimator Design

Difference Synchronization of Identical and Nonidentical Chaotic and Hyperchaotic Systems of Different Orders Using Active Backstepping Design

2018 ◽  
Vol 13 (5) ◽  
Author(s):  
Eric Donald Dongmo ◽  
Kayode Stephen Ojo ◽  
Paul Woafo ◽  
Abdulahi Ndzi Njah
Keyword(s):  
Chaotic System ◽  
Initial Conditions ◽  
Lyapunov Stability Theory ◽  
The State ◽  
State Variables ◽  
State Variable ◽  
New Type ◽  
The Difference ◽  
Synchronization Scheme ◽  
Hyperchaotic Systems

This paper introduces a new type of synchronization scheme, referred to as difference synchronization scheme, wherein the difference between the state variables of two master [slave] systems synchronizes with the state variable of a single slave [master] system. Using the Lyapunov stability theory and the active backstepping technique, controllers are derived to achieve the difference synchronization of three identical hyperchaotic Liu systems evolving from different initial conditions, as well as the difference synchronization of three nonidentical systems of different orders, comprising the 3D Lorenz chaotic system, 3D Chen chaotic system, and the 4D hyperchaotic Liu system. Numerical simulations are presented to demonstrate the validity and feasibility of the theoretical analysis. The development of difference synchronization scheme has increases the number of existing chaos synchronization scheme.

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