Controlling Lü-System Using Partial Linearization

YU Yong-guang; ZHANG Suo-chun

Volume 25 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(12): 1313-1318

YU Yong-guang, ZHANG Suo-chun. Controlling Lü-System Using Partial Linearization[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1313-1318.

Citation:

YU Yong-guang, ZHANG Suo-chun. Controlling Lü-System Using Partial Linearization[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1313-1318.

Citation:

YU Yong-guang, ZHANG Suo-chun. Controlling Lü-System Using Partial Linearization[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1313-1318.

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Controlling Lü-System Using Partial Linearization

YU Yong-guang¹,
ZHANG Suo-chun²

1.
Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China;

Received Date: 2002-10-25
Rev Recd Date: 2004-06-29
Publish Date: 2004-12-15

Abstract

Abstract

Partial linearization method is proposed for controlling Lü-system.Through partially cancelling the nonlinear cross-coupling terms the stabilization of the resulting system was realized.This method can be easily realized.The robust behavior was proved with respect to an uncertain system. Numerical simulation are provided to show the effectiveness and feasibility of the method.
- Lü,
- -system,
- chaos control

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References(12)

References

[1]	Lorenz E N.Deterministic non-periodic flows[J].J Atmos Sci,1963,20:130—141. doi: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
[2]	CHEN Guan-rong,DONG Xiao-ning.From chaos to order-perspectives and methodologies in controlling chaotic nonlinear dynamical system[J].Internat J Bifurcation and Chaos,1993,3(6):1363—1409. doi: 10.1142/S0218127493001112
[3]	WANG Xiao-fan,CHEN Guan-rong.Chaotification via arbitrarily small feedback controls:theory,method and applications[J].Internat J Bifurcation and Chaos,2000,10(3):549—570.
[4]	Obaradovic D,Lenz H.When is OGY control more than just pole placement[J].Internat J Bifurcation and Chaos,1997,7(3):691—699. doi: 10.1142/S0218127497000480
[5]	Ott E,Grebogi C,Yorke J A.Controlling chaos[J].Phys Rev Lett,1990,64(11):1196—1199. doi: 10.1103/PhysRevLett.64.1196
[6]	CHEN Guan-rong,DONG Xiao-ning.On feedback control of chaotic continuous-time systems[J].IEEE Trans Circuits Syst Part Ⅰ,1993,40(9):591—601. doi: 10.1109/81.244908
[7]	L Jin-hu,ZHANG Suo-chun.Controlling Chen's chaotic attractor using backstepping design based on parameters identification[J].Phys Lett A,2001,286(1/2):148—152. doi: 10.1016/S0375-9601(01)00383-8
[8]	CHEN Guan-rong,Ueta T.Yet another chaotic attractor[J].Internat J Bifurcation and Chaos,1999,9(7):1465—1466. doi: 10.1142/S0218127499001024
[9]	Lenz H,Obradovic D.Robust control of the chaotic Lorenz system[J].Internat J Bifurcation and Chaos,1997,7(12):2847—2854. doi: 10.1142/S0218127497001928
[10]	L Jin-hu,CHEN Guan-rong.A new attractor coined[J].Internat J Bifurcation and Chaos,2002,12(3):659—661. doi: 10.1142/S0218127402004620
[11]	Zwillinger D.Handbook of Differential Equations[M].New York:Academic Press,1989,133—198.
[12]	Slotine J,Li W.Applied Nonlinear Control[M].New Jersery:Prentice Hall,Englewood Cliffs,1991.