Repetitive Control of Discrete-Time Markov Jump Linear Systems

被引：0
|
作者：
Ma, Guoqi [1 ]
Liu, Xinghua [2 ]
Pagilla, Prabhakar R. [1 ]
机构：
[1] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore, Singapore
来源：
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC) | 2018年
关键词：
OUTPUT-FEEDBACK;
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 a mode-dependent repetitive controller design for discrete-time Markov Jump Linear Systems (MJLS) is proposed for tracking a periodic reference signal. By employing ideas from the lifting technique, the discrete-time MJLS and the repetitive controller structure are transformed into a stochastic two-dimensional model that differentiates the control and learning actions involved in the repetitive controller structure. For this transformed model, sufficient conditions are derived for the closed-loop control system to be mean square asymptotically stable by utilizing tools from stochastic systems theory and Lyapunov techniques. Results from numerical simulations on a stochastic switching tunnel diode circuit are presented to corroborate the proposed method.
引用
收藏
页码：4546 / 4551
页数：6
相关论文
共 50 条
  • [1] Linear Quadratic Optimal Control for Discrete-time Markov Jump Linear Systems
    Han, Chunyan
    Li, Hongdan
    Wang, Wei
    Zhang, Huanshui
    2018 IEEE 14TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2018, : 769 - 774
  • [2] A new look at the robust control of discrete-time Markov jump linear systems
    Todorov, M. G.
    Fragoso, M. D.
    INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (03) : 518 - 534
  • [3] Robust stability and control of uncertain discrete-time Markov jump linear systems
    de Souza, CE
    2005 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA), VOLS 1AND 2, 2005, : 434 - 439
  • [4] FIR Filtering for Discrete-Time Markov Jump Linear Systems
    Wen, Ji-Wei
    Liu, Fei
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (06) : 1149 - 1164
  • [5] Linear Estimation for Discrete-time Systems with Markov Jump Delays
    Han, Chunyan
    Zhang, Huanshui
    Fu, Minyue
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 981 - 987
  • [6] Linear Estimation for Discrete-time Systems with Markov Jump Delays
    Han Chunyan
    Zhang Huanshui
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 100 - 104
  • [7] On the detectability and observability of discrete-time Markov jump linear systems
    Costa, EF
    do Val, JBR
    SYSTEMS & CONTROL LETTERS, 2001, 44 (02) : 135 - 145
  • [8] Model Reduction of Discrete-Time Markov Jump linear systems
    Kotsalis, Georgios
    Megretski, Alexandre
    Dahleh, Munther A.
    2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 454 - +
  • [9] On the detectability and observability of discrete-time Markov jump linear systems
    Costa, EF
    do Val, JBR
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2355 - 2360
  • [10] On State Estimation of discrete-time Markov jump linear systems
    Liu, Wei
    Zhang, Huaguang
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 1110 - 1115
12345