Finite-time stabilization of Markovian switched stochastic high-order nonlinear systems with inverse dynamics

被引：7
|
作者：
Zhao, Gui-Hua [1 ]
Zhang, Xue [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Dept Math, Shanghai 200093, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2023年 / 33卷 / 17期
基金：
中国国家自然科学基金;
关键词：
finite-time control; finite-time stability; Markovian switching; stochastic inverse dynamics; stochastic nonlinear systems; TO-STATE STABILITY; OUTPUT-FEEDBACK STABILIZATION; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; NETWORKS;
D O I：
10.1002/rnc.6914
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the finite-time stabilization of a class of nonlocal Lipschitzian stochastic nonlinear systems with Markovian switching and stochastic inverse dynamics. We first present the finite-time stability theory for stochastic nonlinear systems with Markovian switching under the framework of weak solutions. Then, a finite-time controller with state feedback is constructed for a class of stochastic high-order nonlinear systems with Markovian switching and stochastic inverse dynamics. The trivial weak solution of the closed-loop system is proved to be globally finite-time stable in probability. Finally, the effectiveness of the proposed design method is verified by a simulation example.
引用
收藏
页码：10782 / 10797
页数：16
相关论文
共 50 条
  • [21] Stabilization of a Class of High-Order Switched Stochastic Nonlinear Systems
    Niu, Ben
    Li, Huan
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 3330 - 3334
  • [22] Finite-Time Output Feedback Stabilization for High-Order Stochastic Nonlinear Systems With Unknown Output Function
    Shi, Jiahao
    Jiang, Mengmeng
    IEEE ACCESS, 2024, 12 : 8833 - 8845
  • [23] Finite-time stabilization of stochastic low-order nonlinear systems with FT-SISS inverse dynamics
    Jiang, Meng-Meng
    Xie, Xue-Jun
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) : 1960 - 1972
  • [24] Finite-time output feedback stabilization of high-order uncertain nonlinear systems
    Jiang, Meng-Meng
    Xie, Xue-Jun
    Zhang, Kemei
    INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (06) : 1338 - 1349
  • [25] Finite-time output feedback stabilization of nonlinear high-order feedforward systems
    Zhang, Xing-Hui
    Zhang, Kemei
    Xie, Xue-Jun
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (08) : 1794 - 1814
  • [26] Global Finite-Time Stabilization for a Class of Uncertain High-Order Nonlinear Systems
    Wang, Jian
    Xie, Jing
    Gao, Fangzheng
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [27] State-feedback stabilization for high-order stochastic nonlinear systems with Stochastic inverse dynamics
    Xie, Xuejun
    Tian, Jie
    Liu, Haikuan
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 884 - +
  • [28] State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics
    Xie, Xue-Jun
    Tian, He
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (14) : 1343 - 1362
  • [29] Robust finite-time stabilization of a class of high-order stochastic nonlinear systems subject to output constraint and disturbances
    Fang, Liandi
    Ma, Li
    Ding, Shihong
    Zhao, Dean
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (16) : 5550 - 5573
  • [30] Finite-time state-feedback stabilization of high-order stochastic nonlinear systems with an asymmetric output constraint
    Gao, Mengmeng
    Zhao, Junsheng
    Zhuang, Guangming
    Sun, Zongyao
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2022, 36 (07) : 1691 - 1701
12345