Singularity‐conquering tracking control of a class of chaotic systems using Zhang‐gradient dynamics

IET Control Theory and Applications - Tập 9 Số 6 - Trang 871-881 - 2015
Yunong Zhang1,2,3, Zhengli Xiao1,2,3, Dongsheng Guo1,2,3, Mingzhi Mao3, Yonghua Yin3
1Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Guangzhou, 510640 People's Republic of China
2SYSU-CMU Shunde International Joint Research Institute, Shunde, 528300 People's Republic of China
3School of Information Science and Technology, Sun Yat-sen University, Guangzhou, 510006, People’s Republic of China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Wu Z., 2013, Structure identification of uncertain dynamical networks coupled with complex‐variable chaotic systems, IET Control Theory Appl., 7, 2285

Lin D., 2014, Symbolic dynamics‐based error analysis on chaos synchronization via noisy channels, Phys. Rev. E, 90, 012908, 10.1103/PhysRevE.90.012908

Gan Q., 2012, Synchronisation of chaotic neural networks with unknown parameters and random time‐varying delays based on adaptive sampled‐data control and parameter identification, IET Control Theory Appl., 6, 795

10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2

10.1142/S0218127499001024

10.1142/S0218127402004620

Yu Y., 2003, Controlling uncertain Lu system using backstepping design, Chaos Solitons Fractals, 15, 897, 10.1016/S0960-0779(02)00205-9

Vanecek A., 1996, Control systems: from linear analysis to synthesis of chaos

10.1142/S0218127402005467

10.1109/TCSI.2011.2108050

10.1109/TCSI.2012.2190570

Chen A., 2006, Generating hyperchaotic Lu attractor via state feedback control, Physica A, 364, 103, 10.1016/j.physa.2005.09.039

Wang F., 2006, Hyperchaos evolved from the Liu chaotic system, Chin. Phys., 15, 963, 10.1088/1009-1963/15/5/016

10.1109/TCSI.2010.2097771

10.1049/iet-cta.2007.0366

Li P., 2007, Stabilisation and synchronisation of chaotic systems via hybrid control, IET Control Theory Appl., 1, 795, 10.1049/iet-cta:20050528

Li W., 2012, Tracking control of chaotic coronary artery system, Int. J. Syst. Sci., 43, 21, 10.1080/00207721003764125

10.1080/00207720210123733

10.1142/S0218127405013988

Li Z., 2004, Homoclinic and heteroclinic orbits in a modified Lorenz system, Inf. Sci., 165, 235, 10.1016/j.ins.2003.06.005

10.1016/S0960-0779(03)00077-8

Xu Y., 2008, Proc. Int. Conf. Young Computer Scientists, 2903

10.1103/PhysRevLett.64.1196

Lin D., 2014, Fuzzy neural control of uncertain chaotic systems with backlash nonlinearity, Int. J. Mach. Learn. Cybern., 5, 721, 10.1007/s13042-013-0218-9

Lin D., 2012, Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation, Nonlinear Dyn., 67, 2889, 10.1007/s11071-011-0196-y

10.1007/978-3-662-02581-9

Slotine J.E., 1991, Applied nonlinear control

10.1109/9.119645

10.1016/j.eswa.2008.08.070

10.1016/S0167-6911(98)00046-2

Chen W., 2002, On a switching control scheme for nonlinear systems with ill‐defined relative degree, Syst. Control Lett., 47, 159, 10.1016/S0167-6911(02)00186-X

Hirschorn R.M., 2002, Output tracking through singularities, SIAM J. Control Optim., 40, 993, 10.1137/S0363012999354879

Zhang Y., 2009, From Zhang neural network to Newton iteration for matrix inversion, IEEE Trans. Circuits Syst. I, Regul. Pap., 56, 1405, 10.1109/TCSI.2008.2007065

Xiao L., 2013, Solving time‐varying nonlinear inequalities using continuous and discrete‐time Zhang dynamics, Int. J. Comput. Math., 90, 1114, 10.1080/00207160.2012.750305

10.1007/s00521-010-0452-y

Zhang Y., 2011, Zhang neural networks and neural‐dynamic method

10.1109/TAC.2009.2023779

Zhang Y., 2011, Performance analysis of gradient neural network exploited for online time‐varying quadratic minimization and equality‐constrained quadratic programming, Neurocomputing, 74, 1710, 10.1016/j.neucom.2011.02.007

Zhang Y., 2002, Global exponential stability of recurrent neural networks for synthesizing linear feedback control systems via pole assignment, IEEE Trans. Neural Netw., 13, 633, 10.1109/TNN.2002.1000129

10.1049/iet-cta.2011.0573

Abramowitz M., 1972, Handbook of mathematical function with formulas, graphs, and mathematical tables

Chu S., 1967, On Gronwall's inequality, Proc. Am. Math. Soc., 18, 439