Title :
Stabilizing unstable equilibrium point of hyperchaotic Lorenz system
Author :
Li, Yuxia ; Xuezhen Liu ; Cao, Yongchao ; Xuezhen Liu
Author_Institution :
Coll. of Inf.&Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao
Abstract :
Some basic properties of the hyperchaotic Lorenz system were analyzed, and the state feedback control methods introduced for stabilizing unstable equilibrium point of the hyperchaotic system. The feedback controllers utilized the speed and hyperbolic function, respectively. Based on Routh-Hurwitz theorem, the span of the feedback coefficients was derived. Numerical simulations are given for illustration and verification. methods are robust against system parametric variations, and can strongly reject external constant disturbances.
Keywords :
chaos; nonlinear control systems; stability; state feedback; Routh-Hurwitz theorem; hyperchaotic Lorenz system; numerical simulations; stabilizing unstable equilibrium point; state feedback control methods; Adaptive control; Automation; Chaos; Control systems; Educational institutions; Feedback control; Information analysis; Intelligent control; Numerical simulation; State feedback; feedback control; hyperchaotic Lorenz system; stabilization;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4593386
