Controlling hyperchaotic complex systems with unknown parameters based on adaptive passive method  

作　　者：Gamal M.Mahmoud Emad E.Mahmoud Ayman A.Arafa 

机构地区：[1]Department of Mathematics,Faculty of Science,Taibah University,Al-Madeenah Al-Munawwarah,P.O.Box 344,Kingdom of Saudi Arabia [2]Department of Mathematics,Faculty of Science,Sohag University,Sohag 82524,Egypt [3]College of Applied Medical Sciences,Turabah,Taif University,Kingdom of Saudi Arabia

出　　处：《Chinese Physics B》2013年第6期268-276,共9页中国物理B（英文版）

摘　　要：The aim of this paper is to study the control of hyperchaofic complex nonlinear systems with unknown parameters using passive control theory. An approach is stated to design the passive controller and estimate the unknown parameters based on the property of the passive system. The feasibility and effectiveness of the proposed approach is demonstrated through its application to the hyperchaotic complex Lu system, as an example. The estimated values of the unknown parameters are calculated. The analytical form of the complex controller is derived and used in the numerical simulation to control the hyperchaotic attractors of this example. Block diagrams of this example using Matlab/Simulink are constructed after and before the control to ensure the validity of the analytical results. Other examples of hyperchaotic complex nonlinear systems can be similarly treated.The aim of this paper is to study the control of hyperchaofic complex nonlinear systems with unknown parameters using passive control theory. An approach is stated to design the passive controller and estimate the unknown parameters based on the property of the passive system. The feasibility and effectiveness of the proposed approach is demonstrated through its application to the hyperchaotic complex Lu system, as an example. The estimated values of the unknown parameters are calculated. The analytical form of the complex controller is derived and used in the numerical simulation to control the hyperchaotic attractors of this example. Block diagrams of this example using Matlab/Simulink are constructed after and before the control to ensure the validity of the analytical results. Other examples of hyperchaotic complex nonlinear systems can be similarly treated.

关 键 词：CONTROL passive control HYPERCHAOTIC COMPLEX 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]