Adaptive NN stabilization for stochastic systems with discrete and distributed time-varying delays

Adaptive NN stabilization for stochastic systems with discrete and distributed time-varying delays

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摘要 A new adaptive neural network（NN） output-feedback stabilization controller is investigated for a class of uncertain stochastic nonlinear strict-feedback systems with discrete and distributed time-varying delays and unknown nonlinear functions in both drift and diffusion terms.First,an extensional stability notion and the related criterion are introduced.Then,a nonlinear observer to estimate the unmeasurable states is designed,and a systematic backstepping procedure to design an adaptive NN output-feedback controller is proposed such that the closed-loop system is stable in probability.The effectiveness of the proposed control scheme is demonstrated via a numerical example. A new adaptive neural network（NN） output-feedback stabilization controller is investigated for a class of uncertain stochastic nonlinear strict-feedback systems with discrete and distributed time-varying delays and unknown nonlinear functions in both drift and diffusion terms.First,an extensional stability notion and the related criterion are introduced.Then,a nonlinear observer to estimate the unmeasurable states is designed,and a systematic backstepping procedure to design an adaptive NN output-feedback controller is proposed such that the closed-loop system is stable in probability.The effectiveness of the proposed control scheme is demonstrated via a numerical example.

作者 Jing Li Junmin Li Yuli Xiao

机构地区 Department of Mathematics School of Telecommunications Engineering

出处《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第6期954-966,共13页 系统工程与电子技术（英文版）

基金 supported by the National Natural Science Fundation of China (60804021 60974139 61075117) the Fundamental Research Funds for the Central Universities (JY10000970001 K50510700002 72103676)

关键词 distributed delay output-feedback stabilization nonlinear observer stochastic nonlinear strict-feedback system adaptive neural network control（ANNC）. distributed delay output-feedback stabilization nonlinear observer stochastic nonlinear strict-feedback system adaptive neural network control（ANNC）.

分类号 TP273.2 [自动化与计算机技术—检测技术与自动化装置] TM343 [电气工程—电机]

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1R Florchinger. Lyapunov-like techniques for stochastic stability. SlAM Journal on Control and Optimization, 1995, 33(4): 1151-1169.
2M. Krstic, I. Kanellakopoulos, E V. Kokotovic. Nonlinear and adaptive control design. New York: Wiley, 1995.
3M. Krstic, H. Deng. Stabilization of nonlinear uncertain systems. London: Springer-Verlag, 1998.
4H. Deng, M. Krstic, R. J. Williams. Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. 1EEE Trans. on Automatic Control, 2001, 46(8): 1237-1253.
5Z. G. Pan, T. Basar. Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion. SlAM Journal on Control and Optimization, 1999, 7(3): 957-995.
6Z. G. Pan. Canonical forms for stochastic nonlinear systems. Automatica, 2002, 38(7): 1163-1170.
7Y. G. Liu, Z. G. Pan, S. J. Shi. Output feedback control design for strict-feedback stochastic nonlinear systems under a risksensitive cost. IEEE Trans. on Automatic Control, 2003, 48(3): 509-513.
8S. J. Liu, Z. R Jiang, J. E Zhang. Globally output-feedback stabilization for a class of stochastic non-minmum-phase nonlinear systems. Automatica, 2008, 44(2): 1944-1957.
9X. J. Xie, J. Tian. Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica, 2009, 45(1): 126-133.
10G. Arslan, T. Barsar. Risk-sensitive adaptive trackers for strictfeedback systems with output measurements. 1EEE Trans. on Automatic Control, 2002, 47(10): 1754-1758.

1霍沛军,王子栋.Robust Variance-Constrained Design for Uncertain Continuous Stochastic Systems via Output Feedback[J].Advances in Manufacturing,1997(2):145-148.
2Rong GAO,Xiaohua LIU,Huanshui ZHANG.A necessary and sufficient stabilization condition for discrete time-varying stochastic systems with multiplicative noise[J].Control Theory and Technology,2016,14(2):151-158. 被引量：1
3Jin Yansheng & Xu Yumin (Dept. of Mathematics and Physics, Yanshan University, Qinhuangdao 066004, P. R. China) Deng Feiqi (Dept. of Automatic Control Engineering, South China University of Technology, Guangzhou 510641, P. R. China).Guaranteed Quadratic Stabilization of Certain Time-Varying Large-Scale Delay It Stochastic Systems[J].Journal of Systems Engineering and Electronics,2000,11(3):35-39. 被引量：1
4Deng Feiqi,Liu Hongwei,Feng Zhaoshu & Liu Yongqing(Department of Automatic Control Engineering, South China University of Technology,Guangzhou 510641, P. R. China).Moment Equations of Linear It Stochastic Systems with Applications[J].Journal of Systems Engineering and Electronics,1998,9(2):1-7.
5苏春华,刘思峰.The p-moment exponential robust stability for stochastic systems with distributed delays and interval parameters[J].Applied Mathematics and Mechanics(English Edition),2009,30(7):915-924.
6Zhang Aiqing,Fang Huajing.Robust reliable guaranteed cost control for nonlinear singular stochastic systems with time delay[J].Journal of Systems Engineering and Electronics,2008,19(4):791-798. 被引量：2
7胡卓焕,韩正之,田作华.Fault Diagnosis for Singular Stochastic Systems[J].Journal of Shanghai Jiaotong university(Science),2011,16(4):497-501.
8Lingzhi Wang,Fucai Qian,Jun Liu.Shape control on probability density function in stochastic systems[J].Journal of Systems Engineering and Electronics,2014,25(1):144-149. 被引量：4
9ZHANG Qixia.H_2/H_∞ CONTROL PROBLEMS OF BACKWARD STOCHASTIC SYSTEMS[J].Journal of Systems Science & Complexity,2014,27(5):899-910.
10Yumei LI,Xinping GUAN,Dan PENG,Changchun HUA,Xiaoyuan LUO.Delay-dependent exponential stability criteria for stochastic systems with polytopic-type uncertainties[J].控制理论与应用（英文版）,2009,7(3):291-296. 被引量：1

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2011年第6期

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Adaptive NN stabilization for stochastic systems with discrete and distributed time-varying delays

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