Finite-time observer-based control for Markovian jump systems with time-varying generally uncertain transition rates

被引：2
|
作者：
Li, Mengjun [1 ]
Li, Xiaohang [1 ,2 ]
Lu, Dunke [1 ]
机构：
[1] Shanghai Univ Engn Sci, Shanghai, Peoples R China
[2] Delixi Grp co Ltd, Shanghai, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2021年 / 43卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Markovian jump systems; finite-time stability; time-varying generally uncertain transition rates; observer design; quantization mechanism;
D O I：
10.1177/0142331220964706
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 paper addresses the finite-time observer-based control for Markovian jump systems with time-varying generally uncertain transition rates. In order to estimate the states, a suitable observer is designed, in which both external disturbance and Brownian motion exist. In order to solve the complex time-varying transition rates, a quantization mechanism is raised to prove the closed-loop system and the observer error system be stable. Sufficient conditions of the existences of both the observer and the observer-based controller are derived in terms of linear matrix inequalities. Eventually, two practical examples are given to testify the correctness of the results.
引用
收藏
页码：451 / 463
页数：13
相关论文
共 50 条
  • [21] Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays
    Liu, Xikui
    Li, Wencong
    Yao, Chenxin
    Li, Yan
    MATHEMATICS, 2022, 10 (12)
  • [22] Anti-disturbance control for time-varying delayed semi-Markovian jump systems with saturation and generally uncertain transition rates via disturbance observer
    Xu, Tianbo
    Gao, Xianwen
    Qi, Wenhai
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (07) : 1251 - 1269
  • [23] Composite anti-disturbance control for semi-Markovian jump systems with time-varying delay and generally uncertain transition rates via disturbance observer
    Xu, Tianbo
    Gao, Xianwen
    Pang, Guochen
    Qi, Wenhai
    Kao, Yonggui
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (14): : 1877 - 1887
  • [24] Reliable finite-time H∞ control of uncertain singular nonlinear Markovian jump systems with bounded transition probabilities and time-varying delay
    Ma, Yue-Chao
    Liu, Yang-Fan
    Chen, Hui
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (11) : 2249 - 2261
  • [25] Stochastic finite-time stability and stabilisation of semi-Markovian jump linear systems with generally uncertain transition rates
    Cheng, Guifang
    Ju, Yuanyuan
    Mu, Xiaowu
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (01) : 185 - 195
  • [26] Finite-Time Stochastic H∞ Control for Singular Markovian Jump Systems With (x, v)-Dependent Noise and Generally Uncertain Transition Rates
    Zhao, Yong
    Zhang, Tianliang
    Fu, You
    Ma, Limin
    IEEE ACCESS, 2019, 7 : 64812 - 64826
  • [27] Observer-based finite-time dissipativity for parabolic systems with time-varying delays
    Mathiyalagan, K.
    Ragul, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 413
  • [28] Observer-based finite-time control of time-delayed jump systems
    He, Shuping
    Liu, Fei
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) : 2327 - 2338
  • [29] Observer-based finite-time dissipativity for parabolic systems with time-varying delays
    Mathiyalagan, K.
    Ragul, R.
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 413
  • [30] Finite-time extended dissipative filtering for nonlinear Markovian jump systems with unknown transition rates and time-varying delays
    Wang, Yao
    Guo, Jun
    Liu, Guobao
    Lu, Junwei
    Li, Fangyuan
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2022, 44 (05) : 973 - 985
12345