H2 control of Markov jump linear systems with unknown transition rates and input quantization

被引：0
|
作者：
Ye Dan [1 ,2 ]
Zheng Bo-Chao [1 ]
Yang Guang-Hong [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
基金：
中国博士后科学基金;
关键词：
Markov jump systems; linear systems; unknown transition rates; input quantization; H-2 cost index; SLIDING-MODE CONTROL; H-INFINITY CONTROL; FEEDBACK STABILIZATION; DESIGN;
D O I：
暂无
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, H-2 state feedback control for a class of continuous-time Markovian jump linear uncertain systems with partly unknown transition rates and input quantization is investigated. The class of Markov jump linear systems under consideration is more general, which covers completely known, boundary known and completely unknown transition rates. The H-2 cost index for Markov jump linear systems is firstly introduced, and then by utilizing new matrix inequality condition, sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained for H-2 control of Markov jump linear systems, which are less conservativeness than the existing result. Finally, an example is given to verify the validity of the theoretical results.
引用
收藏
页码：2673 / 2678
页数：6
相关论文
共 50 条
  • [1] H2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization
    Zhao, Xin-Gang
    Ye, Dan
    Han, Jian-Da
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [2] Stabilization of Markov Jump Linear Systems with Input Quantization
    Ji, Mingming
    Li, Zhijun
    Yang, Bo
    Zhang, Weidong
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (07) : 2109 - 2126
  • [3] Mixed H2/H∞ control of delayed Markov jump linear systems
    Mei, Wenjie
    Zhao, Chengyan
    Ogura, Masaki
    Sugimoto, Kenji
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (15): : 2076 - 2083
  • [4] On the H2 Control of Hidden Markov Jump Linear Systems
    Romero, Luiz H.
    Ribeiro, Junior R.
    Costa, Eduardo F.
    IEEE CONTROL SYSTEMS LETTERS, 2023, 7 : 1315 - 1320
  • [5] Stabilization of Markov Jump Linear Systems with Input Quantization
    Mingming Ji
    Zhijun Li
    Bo Yang
    Weidong Zhang
    Circuits, Systems, and Signal Processing, 2015, 34 : 2109 - 2126
  • [6] H2 control of linear uncertain systems considering input quantization with encoder/decoder mismatch
    Zheng, Bo-Chao
    Yang, Guang-Hong
    ISA TRANSACTIONS, 2013, 52 (05) : 577 - 582
  • [7] Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates
    Zheng, Bo-Chao
    Yang, Guang-Hong
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (10) : 1999 - 2011
  • [8] H2 state-feedback control for continuous semi-Markov jump linear systems with rational transition rates
    de Almeida, M.
    Souza, M.
    Fioravanti, A. R.
    Costa, O. L., V
    INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (01) : 1 - 11
  • [9] H∞ control for Markovian jump fuzzy systems with partly unknown transition rates and input saturation
    Park, In Seok
    Kwon, Nam Kyu
    Park, PooGyeon
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (05): : 2498 - 2514
  • [10] H2 control of continuous-time uncertain linear systems with input quantization and matched disturbances
    Yun, Sung Wook
    Choi, Yun Jong
    Park, PooGyeon
    AUTOMATICA, 2009, 45 (10) : 2435 - 2439
12345