Adaptive tracking of stochastic nonlinear systems with Prandtl-Ishlinskii hysteresis

被引:7
作者
Liu, Wei [1 ]
Ji, Haibo [1 ]
Ma, Yike [1 ]
机构
[1] Univ Sci & Technol China, Dept Automat, Hefei 230027, Anhui, Peoples R China
关键词
adaptive tracking; Prandtl-Ishlinskii hysteresis; stochastic nonlinear systems; disturbance attenuation; UNKNOWN COVARIANCE; STABILIZATION; DRIVEN; NOISE;
D O I
10.1002/rnc.1781
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with adaptive tracking problems for a class of stochastic nonlinear systems with unknown hysteresis nonlinearities. The system considered is in a strict-feedback form driven by unknown PrandtlIshlinskii hysteresis and Wiener noises of unknown covariance. By employing backstepping design techniques and stochastic Lyapunov design method, parameter adaptive laws and control laws are obtained, which ensure that the tracking error can converge to a small residual set around the origin in the sense of mean quartic value. Copyright (c) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码:1779 / 1789
页数:11
相关论文
共 14 条
[1]  
Brokate M., 1996, APPL MATH SCI, V121
[2]   Adaptive control for the systems preceded by hysteresis [J].
Chen, Xinkai ;
Su, Chun-Yi ;
Fukuda, Toshio .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (04) :1019-1025
[3]   Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance [J].
Deng, H ;
Krstic, M .
SYSTEMS & CONTROL LETTERS, 2000, 39 (03) :173-182
[4]   Stabilization of stochastic nonlinear systems driven by noise of unknown covariance [J].
Deng, H. ;
Krstić, M. ;
Williams, R.J. .
1600, Institute of Electrical and Electronics Engineers Inc. (46)
[5]   A UNIVERSAL FORMULA FOR THE STABILIZATION OF CONTROL STOCHASTIC DIFFERENTIAL-EQUATIONS [J].
FLORCHINGER, P .
STOCHASTIC ANALYSIS AND APPLICATIONS, 1993, 11 (02) :155-162
[6]  
GE SS, 2009, ACC 09 P 2009 C AM C, P586
[7]   Adaptive output-feedback tracking of stochastic nonlinear systems [J].
Ji, HB ;
Xi, HS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (02) :355-360
[8]   Adaptive stabilization for stochastic parametric-strict-feedback systems with Wiener noises of unknown covariance [J].
Ji, HB ;
Chen, ZF ;
Xi, HS .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2003, 34 (02) :123-127
[9]  
Krstic Miroslav., 1998, Stabilization of nonlinear uncertain systems, V1st
[10]  
Mayergoyz I. D., 1991, MATH MODELS HYSTERES