Persistent excitation in adaptive parameter identification of uncertain chaotic system

doi:10.1088/1674-1056/20/5/050507

中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50507-050507.doi: 10.1088/1674-1056/20/5/050507

Persistent excitation in adaptive parameter identification of uncertain chaotic system

赵军产¹, 张群娇¹, 陆君安²

(1)College of Science, Wuhan Textile University, Wuhan 430073, China; (2)School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

收稿日期:2010-09-28 修回日期:2010-12-13 出版日期:2011-05-15 发布日期:2011-05-15
基金资助:
Project supported in part by National Natural Science Foundation of China (Grant Nos. 11047114 and 60974081) and in part by the Key Project of Chinese Ministry of Education (Grant No. 210141).

Persistent excitation in adaptive parameter identification of uncertain chaotic system

Zhao Jun-Chan(赵军产)^a)†, Zhang Qun-Jiao(张群娇)^a), and Lu Jun-An(陆君安)^b)

^a College of Science, Wuhan Textile University, Wuhan 430073, China; ^b School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2010-09-28 Revised:2010-12-13 Online:2011-05-15 Published:2011-05-15
Supported by:
Project supported in part by National Natural Science Foundation of China (Grant Nos. 11047114 and 60974081) and in part by the Key Project of Chinese Ministry of Education (Grant No. 210141).

摘要/Abstract

摘要： This paper studies the parameter identification problem of chaotic systems. Adaptive identification laws are proposed to estimate the parameters of uncertain chaotic systems. It proves that the asymptotical identification is ensured by a persistently exciting condition. Additionally, the method can be applied to identify the uncertain parameters with any number. Numerical simulations are given to validate the theoretical analysis.

Abstract: This paper studies the parameter identification problem of chaotic systems. Adaptive identification laws are proposed to estimate the parameters of uncertain chaotic systems. It proves that the asymptotical identification is ensured by a persistently exciting condition. Additionally, the method can be applied to identify the uncertain parameters with any number. Numerical simulations are given to validate the theoretical analysis.

Key words: parameter identification, adaptive control, persistent excitation, chaotic system

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

赵军产, 张群娇, 陆君安. Persistent excitation in adaptive parameter identification of uncertain chaotic system[J]. 中国物理B, 2011, 20(5): 50507-050507.

Zhao Jun-Chan(赵军产), Zhang Qun-Jiao(张群娇), and Lu Jun-An(陆君安). Persistent excitation in adaptive parameter identification of uncertain chaotic system[J]. Chin. Phys. B, 2011, 20(5): 50507-050507.

参考文献 24

[1]	Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[2]	Ott E, Grebogi C and Yorke J A 1990 Phys. Rev. Lett. 64 1196
[3]	Pyragas K 2001 Phys. Rev. Lett. 86 2265
[4]	Wu X Q and Lu J A 2003 Chaos, Solitons and Fractals 18 721
[5]	Xiao Y Z, Xu W, Li X C and Tang S F 2008 Chin. Phys. B 17 080
[6]	Cai G L, Zheng S and Tian L X 2008 Chin. Phys. B 17 2412
[7]	Liao X X and Chen G R 2003 Int. J. Bifur. Chaos 13 207
[8]	Wang H X, Cai G L, Miao S and Tian L X 2010 Chin. Phys. B 19 030509
[9]	Chen L, Shi Y D and Wang D S 2010 Chin. Phys. B 19 100503
[10]	Wang C N, Ma J, Chu R T and Li S R 2009 Chin. Phys. B 18 3766
[11]	Parlitz U 1996 Phys. Rev. Lett. 76 1232
[12]	Yu W, Chen G, Cao J, Lü J and Parlitz U 2007 Phys. Rev. E 75 067201
[13]	Lü J H and Zhang S C 2001 Phys. Lett. A 286 148
[14]	Hu J, Chen S and Chen L 2005 Phys. Lett. A 339 455
[15]	Li Z and Han C 2001 Chin. Phys. 10 494
[16]	Huang L, Wang M and Feng R 2005 Phys. Lett. A 342 299
[17]	Zhou J, Chen T and Xiang L 2006 Chaos, Solitons and Fractals 27 905
[18]	Cai G L and Shao H J 2010 Chin. Phys. B 19 060507
[19]	Lorenz E N 1963 J. Atmos. Sci. 20 130
[20]	Chen G and Ueta T 1999 Int. J. Bifur. Chaos 9 1465
[21]	Lü J H and Chen G 2002 Int. J. Bifur. Chaos 12 659
[22]	Chua L O, Komuro M and Matsrunoto T 1986 IEEE Trans. Circuits Sys. I 33 1072
[23]	Besanccon G 2000 Syst. Control. Lett. 41 271
[24]	Lu W L 2007 Chaos 17 023122 endfootnotesize

Persistent excitation in adaptive parameter identification of uncertain chaotic system

Persistent excitation in adaptive parameter identification of uncertain chaotic system

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 24

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xinyu Gao(高昕瑜), Bo Sun(孙博), Yinghong Cao(曹颖鸿), Santo Banerjee, and Jun Mou(牟俊). A color image encryption algorithm based on hyperchaotic map and DNA mutation[J]. 中国物理B, 2023, 32(3): 30501-030501.
[2]	Guo-Dong Ye(叶国栋), Hui-Shan Wu(吴惠山), Xiao-Ling Huang(黄小玲), and Syh-Yuan Tan. Asymmetric image encryption algorithm based ona new three-dimensional improved logistic chaotic map[J]. 中国物理B, 2023, 32(3): 30504-030504.
[3]	Xing-Yuan Wang(王兴元), Xiao-Li Wang(王哓丽), Lin Teng(滕琳), Dong-Hua Jiang(蒋东华), and Yongjin Xian(咸永锦). Lossless embedding: A visually meaningful image encryption algorithm based on hyperchaos and compressive sensing[J]. 中国物理B, 2023, 32(2): 20503-020503.
[4]	Chunlei Fan(范春雷) and Qun Ding(丁群). A novel algorithm to analyze the dynamics of digital chaotic maps in finite-precision domain[J]. 中国物理B, 2023, 32(1): 10501-010501.
[5]	Yong-Bing Hu(胡永兵), Xiao-Min Yang(杨晓敏), Da-Wei Ding(丁大为), and Zong-Li Yang(杨宗立). Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application[J]. 中国物理B, 2022, 31(11): 110501-110501.
[6]	Yining Su(苏怡宁), Xingyuan Wang(王兴元), and Shujuan Lin(林淑娟). An image encryption algorithm based on spatiotemporal chaos and middle order traversal of a binary tree[J]. 中国物理B, 2022, 31(11): 110503-110503.
[7]	Peng-Fei Fang(方鹏飞), Han Liu(刘涵), Cheng-Mao Wu(吴成茂), and Min Liu(刘旻). Neural-mechanism-driven image block encryption algorithm incorporating a hyperchaotic system and cloud model[J]. 中国物理B, 2022, 31(4): 40501-040501.
[8]	Ai-Xue Qi(齐爱学), Bin-Da Zhu(朱斌达), and Guang-Yi Wang(王光义). Complex dynamic behaviors in hyperbolic-type memristor-based cellular neural network[J]. 中国物理B, 2022, 31(2): 20502-020502.
[9]	Chenguang Ma(马晨光), Santo Banerjee, Li Xiong(熊丽), Tianming Liu(刘天明), Xintong Han(韩昕彤), and Jun Mou(牟俊). Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system[J]. 中国物理B, 2021, 30(12): 120504-120504.
[10]	Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红), Zhi Rui(芮智), and Lei Zhang(张雷). Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation[J]. 中国物理B, 2021, 30(12): 120502-120502.
[11]	Mei Li(李梅), Ruo-Xun Zhang(张若洵), and Shi-Ping Yang(杨世平). Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay[J]. 中国物理B, 2021, 30(12): 120503-120503.
[12]	Karthikeyan Rajagopal, Anitha Karthikeyan, and Balamurali Ramakrishnan. Controlling chaos and supressing chimeras in a fractional-order discrete phase-locked loop using impulse control[J]. 中国物理B, 2021, 30(12): 120512-120512.
[13]	Sixiao Kong(孔思晓), Chunbiao Li(李春彪), Shaobo He(贺少波), Serdar Çiçek, and Qiang Lai(赖强). A memristive map with coexisting chaos and hyperchaos[J]. 中国物理B, 2021, 30(11): 110502-110502.
[14]	Hai-Fang Liu(刘海芳), Yun-Cai Wang(王云才), Lu-Xiao Sang(桑鲁骁), and Jian-Guo Zhang(张建国). Physical generation of random numbers using an asymmetrical Boolean network[J]. 中国物理B, 2021, 30(11): 110503-110503.
[15]	Qi Li(李琦), Xingyuan Wang(王兴元), He Wang(王赫), Xiaolin Ye(叶晓林), Shuang Zhou(周双), Suo Gao(高锁), and Yunqing Shi(施云庆). A secure image protection algorithm by steganography and encryption using the 2D-TSCC[J]. 中国物理B, 2021, 30(11): 110501-110501.