SWITCHING CONTROL: FROM SIMPLE RULES TO COMPLEX CHAOTIC SYSTEMS
SWITCHING CONTROL: FROM SIMPLE RULES TO COMPLEX CHAOTIC SYSTEMS
摘要
This paper reviews and introduces some simple switching piecewise-linear controllers, which can generate complex chaotic behaviors from simple switching systems.The mechanism of simple switching rules creating complex chaotic behaviors is further investigated.
基金
This research is supported by K.C.Wong Education Foundation,Hong Kong and the Chinese Postdoctoral Scientific Foundation.
参考文献9
-
1G. Chen and X. Dong, From Chaos to Order: Methodologies, Perspectives and Applications, Singapore: World Scientific, 1998.
-
2G. Chen and J. Lü, Dynamical Analysis, Control and Synchronization of the Generalized Lorenz Systems Family. Beijing: Science Press, 2003.
-
3J. Lü, J. Lu,and S. Chen, Chaotic Time Series Analysis and Its Applications, China: Wuhan University Press, 2002.
-
4A. S. Elwakil, S: OEzoguz and M. P. Kennedy, Creation of a complex butterfly attractor using a novel Lorenz-type system, IEEE Trans. Circuits Syst. I, 2002, 49(4): 527-530.
-
5J. Lü, T. Zhou, G. Chen and X. Yang, Generating chaos with a switching piecewise-linear controller,Chaos, 2002, 12(2): 344-349.
-
6J. Lü, X. Yu and G. Chen, Generating chaotic attractors with multiple merged basins of attraction:A switching piecewise-linear control approach, IEEE Trans. Circuits Syst. I, 2003, 50(2): 198-207.
-
7J. A. K. Suykens and J. Vandewalle, Generation of n-double scrolls (n= 1, 2,3, 4, …),IEEE Trans.Circuits Syst. I, 1993, 40(11): 861-867.
-
8K. S. Tang, G. Q. Zhong, G. Chen and K. F. Man, Generation of n-scroll attractors via sine function, IEEE Trans. on Circ. Sys.-I, 2001, 48(11): 1369-1372.
-
9M.E.Yalcin,J.A.K.Suykens,J.Vandewalle,and S.OEzoguz,Families of scroll grid attractors,Int. J. Bifurcation and Chaos, 2002, 12(1): 23-41.
-
1江世明,李敬文,江红豆.图的点可区别边染色猜想的算法[J].西南大学学报(自然科学版),2016,38(10):47-54. 被引量:6
-
2LI Chong GAO Yi-Bo.On Effectiveness of Protocol Creating Maximum Entanglement of Two Charge-Phase Qubits by Cavity Field[J].Communications in Theoretical Physics,2007,48(5X):935-942.
-
3田艳芳,林琼,杨秀文,许川容.最优Hamilton圈的一种新算法[J].后勤工程学院学报,2009,25(1):93-96. 被引量:1
-
4董威,贾西贝,李小慧,李敬文.随机图的邻点可区别Ⅰ-全染色算法[J].西南师范大学学报(自然科学版),2015,40(4):8-15. 被引量:3
-
5Wallace Moreira Bessa.Some Remarks on the Boundedness and Convergence Properties of Smooth Sliding Mode Controllers[J].International Journal of Automation and computing,2009,6(2):154-158. 被引量:3
-
6Bai Shi.Creating a Climate of Change[J].Beijing Review,2014,57(41):14-15.
-
7白成林,张霞,张立华.Some new solutions derived from the nonlinear (2+1)-dimensional Toda equation-an efficient method of creating solutions[J].Chinese Physics B,2009,18(2):475-481. 被引量:4
-
8CHEN Jin-huan GAO Yong-liang.Nonsmooth Control-Lyapunov Function and Stabilization of Nonlinear Switching Systems[J].Chinese Quarterly Journal of Mathematics,2007,22(4):586-591.
-
9李大潜,饶伯鹏.EXACT CONTROLLABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH VERTICAL CHARACTERISTICS[J].Acta Mathematica Scientia,2009,29(4):980-990. 被引量:1
-
10曹奇敏,张艳霞.Adaptive switching control of a class of nonlinear systems based on mixed multiple models[J].Journal of Beijing Institute of Technology,2012,21(4):504-509.