[1]潘运亮,杜军.参数不确定混沌系统的动态面输出调节方法[J].深圳大学学报理工版,2014,31(3):307-311.[doi:10.3724/SP.J.1249.2014.03307]
　Pan Yunliang and Du Jun.Dynamic surface output regulation method for chaotic systems with adaptive internal model[J].Journal of Shenzhen University Science and Engineering,2014,31(3):307-311.[doi:10.3724/SP.J.1249.2014.03307]
点击复制

参数不确定混沌系统的动态面输出调节方法()
分享到：

《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第31卷
期数:
2014年第3期
页码:
307-311
栏目:
自控精仪
出版日期:
2014-05-20

文章信息/Info

Title:
Dynamic surface output regulation method for chaotic systems with adaptive internal model
文章编号:
201403014
作者:
潘运亮; 杜军
空军工程大学航空航天学院，西安 710038
Author(s):
Pan Yunliang and Du Jun
Aeroautics and Astronautics Engineering College, Air Force Engineering University, Xi’an 710038, P.R.China
关键词:
系统学; 混沌系统; 自适应; 输出调节; 内模; 动态面控制
Keywords:
systematics;  chaotic system;  self-adaptive;  output regulation;  internal model;  dynamic surface control
分类号:
TP 271
DOI:
10.3724/SP.J.1249.2014.03307
文献标志码:
A
摘要:
针对一类严参数反馈形式混沌系统，研究含有未知参数向量的线性中性稳定外系统驱动下的输出调节问题．根据非线性系统输出调节问题可解的必要条件，将严参数反馈混沌系统的输出调节问题转化为镇定问题．在前n-1步递推中，通过采用动态面控制设计虚拟控制律，简化了控制律设计的复杂性；第n步应用内模原理，结合自适应技术，设计输出调节控制器．应用Lyapunov稳定性理论，证明跟踪误差全局一致终结有界．仿真结果验证了控制方案的有效性．
Abstract:
For a class of strict-feedback chaotic systems driven by a linear and neutrally stable exosystem with unknown parameters, the output regulation problem is considered. Based on the necessary condition to solve the output regulation problems of nonlinear systems, the problem of strict-feedback chaotic systems can be transformed into a stabilization problem. The virtual controllers are designed by adapting dynamic surface technology at the former n-1 steps, which can largely decrease the complexities of the design progress. The output regulation controller is designed by using the internal model theory, coupling with bonding adaptive theory at the nth step. By applying the Lyapunov stability theorem, it is proved that all the signals in the closed-loop error system are uniformly and ultimately bounded. The simulation results turn out that the control strategy is effective for the problems involved.

参考文献/References:

［1］ Chen Qiang, Ren Xuemei, Na Jing. Adaptive backsteppingcontrol of chaotic system with uncertain parameters［J］. Transactions of Beijing Institute of Technology, 2011, 31(2):158-162.(in Chinese)
陈强, 任雪梅, 那靖. 参数不确定混沌系统的自适应Backstepping控制［J］.北京理工大学学报, 2011, 31(2): 158-162.
［2］ Zhao Jianli, Wang Jing, Wei Wei. Approximate finite-time stable control of Lorenz Chaos system［J］. Acta Physica Sinica, 2011, 60(10): 100203-1-100203-9.(in Chinese)
赵建利, 王京, 魏伟. Lorenz混沌系统的近似有限时间稳定控制［J］.物理学报, 2011, 60(10):100203-1-100203-9.
［3］ Meng Juan, Wang Xingyuan. Phase synchronization of chaotic systems based on nonlinear observers［J］. Acta Physica Sinica, 2007, 56(9): 5142-5148.(in Chinese)
孟娟, 王兴元. 基于非线性观测器的一类混沌系统的相同步［J］.物理学报, 2007, 56(9):5142-5148.
［4］ Luo Yongjian, Yu Qian, Zhang Weidong. Research on impulsive synchronization approach of parameter uncertain hyperchaotic systems with time-delay［J］. Acta Physica Sinica, 2011, 60(11): 110504-1-110504-8.(in Chinese)
罗永健, 于倩, 张卫东. 参数不确定时延超混沌系统的脉冲同步方法研究［J］. 物理学报, 2011, 60(11): 110504-1-110504-8.
［5］ Chen Zuoxian, Ji Haibo. Output regulation for a class of nonlinear systems with adaptive internal model［J］. Control and Decilion, 2009, 24(5):759-763.(in Chinese)
陈作贤，季海波.具有自适应内模的非线性系统输出调节［J］. 控制与决策, 2009, 24(5): 759-763.
［6］ Meng Guizhi, Ma Kemao. Dynamic surface output regulation method for a class of uncertain nonlinear systems［J］. Electric Machines and Control, 2011,15(5):103-108.(in Chinese)
孟桂芝，马克茂. 一类不确定非线性系统的动态面输出调节方法［J］.电机与控制学报, 2011,15(5): 103-108.
［7］ Serrani A, Isidori A, Marconi L. Semiglobal nonlinear output regulation with adaptive internal modal［J］. IEEE Transactions on Automatic Control, 2001, 46(8):1178-1194.
［8］ Chen Zuoxian, Ji Haibo, He Defeng. Robust output regulation for a class of nonlinear systems in output feedback form［J］. Journal of University of Science and Technology of China, 2008, 38(12):1422-1426.(in Chinese)
陈作贤, 季海波，何德峰. 一类输出反馈非线性系统的鲁棒输出调节［J］.中国科学技术大学学报，2008, 38(12): 1422-1426.
［9］ Ji Haibo, Chen Zuoxian. Robust adaptive output regulation for nonlinear systems with dynamic uncertainies［J］. Journal of University of Science and Technology of China, 2008, 38(7): 835-840.(in Chinese)
季海波，陈作贤. 具有动态不确定的非线性系统的鲁棒自适应输出调节［J］.中国科学技术大学学报，2008, 38(7): 835-840.
［10］ Wang Yunjian, Liu Heping, Wang Ling. Self-optimize adaptive dynamic surface control［J］. Control and Decision, 2010, 25(5):939-942.(in Chinese)
王允建，刘贺平，王玲. 自寻优自适应动态面控制［J］. 控制与决策，2010, 25(5): 939-942.

相似文献/References:

[1]吴迎春,彭建华.全局耦合混沌系统同步与反同步研究[J].深圳大学学报理工版,2008,25(4):422.
　WU Ying-chun and PENG Jian-hua.Synchronization and anti-synchronization in global coupling chaotic systems[J].Journal of Shenzhen University Science and Engineering,2008,25(3):422.
[2]彭建华,吴迎春,张晓明.共轭变量耦合系统振荡消失研究[J].深圳大学学报理工版,2009,26(2):143.
　PENG Jian-hua,WU Ying-chun,and ZHANG Xiao-ming.Studies on the amplitude death phenomena in chaotic systems with conjugate variable coupling[J].Journal of Shenzhen University Science and Engineering,2009,26(3):143.
[3]丰建文,何玲,吴耿,等.统一混沌系统的修改模型及同步设计[J].深圳大学学报理工版,2010,27(1):37.
　FENG Jian-wen,HE Ling,WU Geng,et al.Modified model of unified chaotic system and the design of synchronization[J].Journal of Shenzhen University Science and Engineering,2010,27(3):37.

备注/Memo

备注/Memo:
Received：2012-06-11；Revised：2014-04-03；Accepted：2014-04-05
Foundation：Aviation Science Funds（20111396011）
Corresponding author：Associate professor Du Jun. E-mail:dujunxp@163.com
Citation：Pan Yunliang, Du Jun. Dynamic surface output regulation method for chaotic systems with adaptive internal model［J］. Journal of Shenzhen University Science and Engineering, 2014, 31(3): 307-311.（in Chinese）
基金项目：航空科学基金资助项目(20111396011)
作者简介：潘运亮(1981—)，男（汉族），江苏省南京市人，空军工程大学讲师、博士. E-mail：panyunliang88@126.com
引文：潘运亮，杜军. 参数不确定混沌系统的动态面输出调节方法［J］. 深圳大学学报理工版，2014，31（3）：307-311.
更新日期/Last Update: 2014-05-01