H∞ stabilisation of switched linear stochastic systems under dwell time constraints

被引：5
作者：
Huang, Ran [1 ]
Lin, Yan [1 ]
Ge, Shuzhi Sam [2 ]
Lin, Zhongwei [3 ]
机构：
[1] Bejing Univ Aeronaut & Aeronaut, Sch Automat, Beijing 100191, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Comp Sci & Engn, Inst Intelligent Syst & Informat Technol, Chengdu 611731, Peoples R China
[3] N China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Beijing 102206, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2012年 / 85卷 / 09期
基金：
中国国家自然科学基金;
关键词：
switched systems; Wiener process; H-infinity control; dwell time; STABILITY;
D O I：
10.1080/00207179.2012.680914
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Based on the determination of a minimum dwell time, this article addresses the problem of characterising a switching strategy for H-infinity stabilisation of switched linear stochastic systems with adapted external inputs. Sufficient conditions that assure exponential mean square stability and an H-infinity performance index are established by analysing the time evolution of the second-order moment of the state and a recursive dynamic programming inequality, respectively. Alternative conditions are derived for numerical implementations. The proposed method is illustrated by numerical simulations.
引用
收藏
页码：1209 / 1217
页数：9
相关论文
共 50 条
  • [41] Robust Stability and Stabilization of Linear Switched Systems with Dwell Time
    Allerhand, Liron I.
    Shaked, Uri
    2010 CONFERENCE ON CONTROL AND FAULT-TOLERANT SYSTEMS (SYSTOL'10), 2010, : 155 - 160
  • [42] Unified dwell time-based stability and stabilization criteria for switched linear stochastic systems and their application to intermittent control
    Luo, Shixian
    Deng, Feiqi
    Chen, Wu-Hua
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) : 2014 - 2030
  • [43] Hybrid Control for Switched Linear Systems With Average Dwell Time
    Yuan, Chengzhi
    Wu, Fen
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (01) : 240 - 245
  • [44] Robust Stability and Stabilization of Linear Switched Systems With Dwell Time
    Allerhand, Liron I.
    Shaked, Uri
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) : 381 - 386
  • [45] Robust H∞ Repetitive Control for a Class of Linear Stochastic Switched Systems with Time Delay
    Shao, Zhen
    Huang, Shipei
    Xiang, Zhengrong
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (04) : 1363 - 1377
  • [46] Minimum Dwell Time for Stability and Stabilization of Switched Linear Systems
    Ni, Wei
    Cheng, Daizhan
    Hu, Xiaoming
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 4109 - +
  • [47] Self-triggered model predictive control for switched systems with dwell time constraints
    Zhang, Fusen
    Lian, Jie
    Wu, Feiyue
    39TH YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION, YAC 2024, 2024, : 863 - 868
  • [48] Reliable Finite-Time H∞ Filtering for Switched Linear Systems with Persistent Dwell-Time
    Zhang, Lixian
    Basin, Michael
    Wang, Shun
    Xiao, Zhen
    Zeng, Ming
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 6382 - 6387
  • [49] Global robust stabilisation of a class of uncertain switched nonlinear systems with dwell time specifications
    Ma, Ruicheng
    Zhao, Shengzhi
    Wang, Min
    INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (03) : 589 - 599
  • [50] H∞ Adaptive tracking control for switched systems based on an average dwell-time method
    Wu, Caiyun
    Zhao, Jun
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (14) : 2547 - 2559
12345