Title :
Hopf bifurcation control of lu system via washout filter
Author :
Rongyan, Zhang ; Jifu, Li ; Guiling, Sun
Author_Institution :
Fac. of Electr. & Inf. Eng., Inf. & Comput. Sci., Inf. & Comput. Sci., Zhengzhou, China
Abstract :
This paper is concerned with the hopf bifurcation control of Lü system. Firstly, the stability of the equilibriums of the system is studied, and the critical value of the system parameter at which hopf bifurcation occurs is investigated. Secondly, washout filter aided feedback controllers are designed for ensuring the stability of the bifurcated limit cycles. Finally, computer simulation results are presented to illustrate the analytical results found.
Keywords :
bifurcation; control system synthesis; feedback; filtering theory; limit cycles; stability; Lu system; bifurcated limit cycle; feedback controller; hopf bifurcation control; stability; washout filter; Asymptotic stability; Bifurcation; Chaos; Jacobian matrices; Numerical stability; Stability criteria; Hopf bifurcation; Routh-Hurwitz stability criterion; Stability; Washout filter;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968357
