IDENTIFICATION ERROR BOUNDS AND ASYMPTOTIC DISTRIBUTIONS FOR SYSTEMS WITH STRUCTURAL UNCERTAINTIES
IDENTIFICATION ERROR BOUNDS AND ASYMPTOTIC DISTRIBUTIONS FOR SYSTEMS WITH STRUCTURAL UNCERTAINTIES
摘要
This work is concerned with identification of systems that are subject to not only measurement noises, but also structural uncertainties such as unmodeled dynamics, sensor nonlinear mismatch, and observation bins. Identification errors are analyzed for their dependence on these structural uncertainties. Asymptotic distributions of scaled sequences of estimation errors are derived.
参考文献15
-
1H.-F. Chen and L. Guo, Identification and Stochastic Adaptive Control, Birkhauser, Boston, 1991.
-
2L. Ljung, System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, N J, 1987.
-
3L. Y. Wang, Persistent identification of time varying systems, IEEE Trans. Automatic Control,1997, 42: 66-82.
-
4L. Y. Wang, and G. Yin, Persistent identification of systems with unmodeled dynamics and exogenous disturbances, IEEE Trans. Automat. Contr, 2000, 45: 1246-1256.
-
5L. Y. Wang and G. Yin, Closed-loop persistent identification of linear systems with unmodeled dynamics and stochastic disturbances, Automatica, 2002, 38: 1463-1474.
-
6A. N. Kolmogorov, On some asymptotic characteristics of completely bounded spaces, Dokl. Akad.Nauk SSSR, 1956, 108: 385-389.
-
7A. Pinkus, n-Widths in Approximation Theory, Springer-Verlag, 1985.
-
8J. F. Traub, G. W. Wasilkowski and H. Wozniakowski, Information-Based Complexity, Academic Press, New York, 1988.
-
9I. Ibragimov and R. Z. Khasminskii, Statistical Estimation: Asymptotic Theory, Springer-Verlag,Berlin, 1981.
-
10P. Billingsley, Convergence of Probability Measures, J. Wiley, New York, 1968.
-
1黄正良,万百五,韩崇昭.双线性系统稳态模型估计及其强一致性分析[J].自动化学报,1995,21(5):562-569. 被引量:11
-
2黄正良,万百五.一类非线性系统的稳态模型估计及其强一致性分析[J].西安交通大学学报,1997,31(6):20-26. 被引量:2
-
3CHEN XinJie,FAN YanQin,WAN Alan,ZOU GuoHua.Post-J test inference in non-nested linear regression models[J].Science China Mathematics,2015,58(6):1203-1216.
-
4蔡秀珊,韩正之,唐厚君.Control Lyapunov Stabilization of Nonlinear Systems with Structural Uncertainty[J].Journal of Shanghai Jiaotong university(Science),2005,10(1):21-24.
-
5黄正良,吴坚.一类非线性系统稳态模型辨识方法[J].西南工学院学报,1996,11(2):1-8.
-
6Zhanshou CHEN,Zheng TIAN.MOVING RATIO TEST FOR MULTIPLE CHANGES IN PERSISTENCE[J].Journal of Systems Science & Complexity,2012,25(3):582-593.
-
7代颖,施颂椒.全局稳定的PD+ 前馈机器人鲁棒自适应控制[J].自动化学报,2002,28(1):11-18. 被引量:7
-
8XIANG DaoHong.Classification with Gaussians and convex loss Ⅱ:improving error bounds by noise conditions[J].Science China Mathematics,2011,54(1):165-171. 被引量:3
-
9SUNYanfeng,LIANGYanchun,WUChunguo,YANGXiaowei,LEEHeowPueh,LINWuZhong.Estimate of error bounds in the improved support vector regression[J].Progress in Natural Science:Materials International,2004,14(4):362-364.
-
10唐庆国,程龙生.空间数据变系数回归中的B-spline估计法[J].中国科学(A辑),2009,39(7):783-800.