Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching

被引：154
|
作者：
Wu, Zhao Jing [1 ]
Yang, Jun [1 ]
Shi, Peng [2 ,3 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 09期
基金：
中国国家自然科学基金; 中国博士后科学基金; 英国工程与自然科学研究理事会;
关键词：
Backstepping; Markovian switching; nonlinear stochastic systems; BACKSTEPPING CONTROLLER-DESIGN; STABILITY; EQUATIONS; DELAY;
D O I：
10.1109/TAC.2010.2051090
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of the adaptive tracking for a class of stochastic nonlinear systems with stationary Markovian switching is considered in this note. An Ito formula is proposed for stochastic integral equations with an integral about martingale measure. An adaptive backstepping controller is designed such that the closed-loop system has a unique solution that is globally bounded in probability and L(4)-norm of the tracking error converges to an arbitrarily small neighborhood of zero. A simulation example demonstrates the efficiency of the proposed scheme.
引用
收藏
页码：2135 / 2141
页数：7
相关论文
共 50 条
  • [1] Adaptive control of stochastic nonlinear systems with Markovian switching
    Wang, G. L.
    Zhang, Q. L.
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2012, 26 (09) : 848 - 860
  • [2] Output Tracking of Stochastic High-Order Nonlinear Systems with Markovian Switching
    Li, Wuquan
    Wu, Zhaojing
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (06) : 1585 - 1590
  • [3] Stability of a Class of Stochastic Nonlinear Systems with Markovian Switching
    Liu, Xiaohua
    Li, Wuquan
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [4] Robust Fuzzy Adaptive Tracking Control for Nonaffine Stochastic Nonlinear Switching Systems
    Wang, Huanqing
    Liu, Peter Xiaoping
    Niu, Ben
    IEEE TRANSACTIONS ON CYBERNETICS, 2018, 48 (08) : 2462 - 2471
  • [5] Adaptive tracking control for a class of random pure-feedback nonlinear systems with Markovian switching
    Yao, Liqiang
    Zhang, Weihai
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (08) : 3112 - 3126
  • [6] Asymptotic Stability of Nonlinear Impulsive Stochastic Systems with Markovian Switching
    Zhang, Xinwen
    Jia, Chao
    Liu, Weiguo
    ICMLC 2019: 2019 11TH INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND COMPUTING, 2019, : 114 - 118
  • [7] ADAPTIVE TRACKING CONTROL OF HYBRID SWITCHING MARKOVIAN SYSTEMS WITH ITS APPLICATIONS
    Yang, Dong
    Zong, Guangdeng
    Shi, Yang
    Shi, Peng
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (02) : 434 - 457
  • [8] Backstepping Controller Design for a Class of Stochastic Nonlinear Systems with Markovian Switching
    Wu Zhaojing
    Xie Xuejun
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 769 - +
  • [9] Almost sure state estimation for nonlinear stochastic systems with Markovian switching
    Xiu Kan
    Huisheng Shu
    Zhenna Li
    Nonlinear Dynamics, 2014, 76 : 1591 - 1602
  • [10] Almost sure state estimation for nonlinear stochastic systems with Markovian switching
    Kan, Xiu
    Shu, Huisheng
    Li, Zhenna
    NONLINEAR DYNAMICS, 2014, 76 (02) : 1591 - 1602
12345