Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems

被引：1
|
作者：
Yin, Xiaohan [1 ,2 ,3 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2019年 / 2019卷
基金：
中国国家自然科学基金;
关键词：
GLOBAL ASYMPTOTIC STABILITY; TIME-DELAY SYSTEMS; EXPONENTIAL STABILITY; NEURAL-NETWORKS; DIFFERENTIAL-EQUATIONS; ORBITAL STABILITY; DESIGN; DISSIPATIVITY; STATE; WAVES;
D O I：
10.1155/2019/5036917
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the observer-based sliding mode controller for such a complex system. An observer is first constructed, and then we design an integral sliding mode surface such that the MJSs satisfy the reaching condition. The sliding mode control law ensures the stochastic stability of the closed-loop system. Finally, an example is given to illustrate the proposed results.
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页数：12
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