Output Tracking of Stochastic High-Order Nonlinear Systems with Markovian Switching

被引：63
作者：
Li, Wuquan [1 ]
Wu, Zhaojing [2 ]
机构：
[1] Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China
[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 06期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Markovian switching; output tracking; stochastic high-order nonlinear systems; STATE-FEEDBACK STABILIZATION; SLIDING-MODE CONTROL; STABILITY; CONTROLLABILITY; EQUATIONS;
D O I：
10.1109/TAC.2012.2229814
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 technical note poses and solves the output tracking problem for a class of stochastic high-order nonlinear systems with stationary Markovian switching. By introducing a II-operator and using Dynkin formula for Markovian switching systems, a switching controller is constructed to ensure that the closed-loop system has a unique solution and is bounded in probability. Also, the tracking error converges to an arbitrarily small neighborhood of zero. The efficiency of the tracking controller is demonstrated by a simulation example.
引用
收藏
页码：1585 / 1590
页数：7
相关论文
共 32 条
[1]  
Aihara S, 2012, INT J INNOV COMPUT I, V8, P2203
[2]   Stability of a random diffusion with linear drift [J].
Basak, GK ;
Bisi, A ;
Ghosh, MK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) :604-622
[3]   Output-feedback stochastic nonlinear stabilization [J].
Deng, H ;
Krstic, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (02) :328-333
[4]   Stochastic nonlinear stabilization .1. A backstepping design [J].
Deng, H ;
Krstic, M .
SYSTEMS & CONTROL LETTERS, 1997, 32 (03) :143-150
[5]   CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL [J].
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :777-788
[6]  
Krstic M., 1998, STABILIZATION UNCERT
[7]   Decentralised output-feedback control for high-order stochastic non-linear systems [J].
Li, W. ;
Wei, X. ;
Zhang, S. .
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (06) :838-846
[8]   Decentralised stabilisation of a class of large-scale high-order stochastic non-linear systems [J].
Li, W. ;
Jing, Y. ;
Zhang, S. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (11) :2441-2453
[9]   Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable [J].
Li, Wu-Quan ;
Xie, Xue-Jun .
AUTOMATICA, 2009, 45 (02) :498-503
[10]   State feedback control of a class of high-order stochastic nonlinear systems [J].
Li, Wuquan ;
Jing, Yuanwei ;
Zhang, Siying .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (14) :1583-1601
1234