The Generation of a New Hyperchaotic System via State Feedback Control

2009 ◽  
Author(s):  
Yongchao Cao ◽  
Yuxia Li ◽  
Xia Huang
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Hyperchaotic System ◽  
New Hyperchaotic System

GENERATION AND IMPLEMENTATION OF HYPERCHAOTIC CHUA SYSTEM VIA STATE FEEDBACK CONTROL

2012 ◽  
Vol 22 (05) ◽  
pp. 1250119 ◽  
Author(s):  
HUILING XI ◽  
SIMIN YU ◽  
CHAOXIA ZHANG ◽  
YOULIN SUN
Keyword(s):  
Feedback Control ◽  
Theoretical Analysis ◽  
State Feedback ◽  
Piecewise Linear ◽  
State Feedback Control ◽  
Hyperchaotic System ◽  
Cubic Nonlinearity ◽  
State Equations ◽  
Dynamical Behaviors ◽  
Simulation Based

In this paper, a 4D hyperchaotic Chua system both with piecewise-linear nonlinearity and with smooth and piecewise smooth cubic nonlinearity is introduced, based on state feedback control. Dynamical behaviors of this hyperchaotic system are further investigated, including Lyapunov exponents spectrum, bifurcation diagram and solution of state equations. Theoretical analysis and numerical results show that this system can generate multiscroll hyperchaotic attractors. In addition, a circuit is designed for 4D hyperchaotic Chua system such that the double-scroll and 3-scroll hyperchaotic attractors can be physically obtained, demonstrating the effectiveness of the proposed simulation-based techniques.

GENERATING HYPERCHAOTIC ATTRACTORS WITH THREE POSITIVE LYAPUNOV EXPONENTS VIA STATE FEEDBACK CONTROL

2009 ◽  
Vol 19 (02) ◽  
pp. 651-660 ◽  
Author(s):  
GUOSI HU
Keyword(s):  
Lyapunov Exponents ◽  
State Feedback ◽  
Electronic Circuit ◽  
Three Dimensional ◽  
State Feedback Control ◽  
Hyperchaotic System ◽  
Lorenz Chaotic System ◽  
Simulation Results ◽  
New Hyperchaotic System ◽  
Good Agreement

This letter presents a new hyperchaotic system, which was obtained by adding a nonlinear quadratic controller to the first equation and a linear controller to the second equation of the three-dimensional autonomous modified Lorenz chaotic system. This system uses only two multipliers but can generate very complex strange attractors with three positive Lyapunov exponents. The system is not only demonstrated by numerical simulations but also implemented via an electronic circuit, showing very good agreement with the simulation results.

GENERATING HYPERCHAOS VIA STATE FEEDBACK CONTROL

2005 ◽  
Vol 15 (10) ◽  
pp. 3367-3375 ◽  
Author(s):  
YUXIA LI ◽  
WALLACE K. S. TANG ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Computer Simulations ◽  
Chaotic System ◽  
Bifurcation Analysis ◽  
State Feedback ◽  
Electronic Circuit ◽  
Three Dimensional ◽  
State Feedback Control ◽  
Hyperchaotic System ◽  
Nonlinear State

In this letter, a simple nonlinear state feedback controller is designed for generating hyperchaos from a three-dimensional autonomous chaotic system. The hyperchaotic system is not only demonstrated by computer simulations but also verified with bifurcation analysis, and is implemented experimentally via an electronic circuit.

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