Switching Predictive Control for Continuous-time Markovian Jump Delay Systems

被引:3
|
作者
Wen, Jiwei [1 ]
Peng, Li [1 ]
机构
[1] Jiangnan Univ, Sch Internet Things Engn, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
基金
中国国家自然科学基金;
关键词
Average dwell time; Markovian jump delay systems; stochastic invariant ellipsoid; switching predictive control; RECEDING HORIZON CONTROL; H-INFINITY CONTROL; LINEAR-SYSTEMS; TRANSITION-PROBABILITIES; STABILITY; SUBJECT; RATES;
D O I
10.1007/s12555-016-0066-y
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 is concerned with switching model predictive control (SMPC) for continuous-time Markovian jump delay systems (MJDSs). First, a piecewise constant switching predictive controller, which only depends on the average dwell time (ADT) switching laws rather than the jumping modes, is obtained by employing the ADT approach under the infinite-time predictive control design framework. Such a control strategy is proposed to make a trade-off between robustness and adaptivity when the design complexity of mode-independent and mode-dependent MPC is considered. It is revealed that the SMPC can deal with MJDSs with both time varying and time invariant jump rates and cover the mode-independent MPC as a special cease. Second, the feasibility of the SMPC scheme and the mean square stability of the closed-loop MJDS are discussed by using the stochastic invariance of the ellipsoid set over each sampling period. A numerical example is given to illustrate the main results.
引用
收藏
页码:1040 / 1050
页数:11
相关论文
共 50 条
  • [1] Switching predictive control for continuous-time Markovian jump delay systems
    Jiwei Wen
    Li Peng
    [J]. International Journal of Control, Automation and Systems, 2017, 15 : 1040 - 1050
  • [2] Continuous-time generalised predictive control of delay systems
    Kowalczuk, Z
    Suchomski, P
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1999, 146 (01): : 65 - 75
  • [3] Stability and stabilization of continuous-time stochastic Markovian jump systems with random switching signals
    Wang, Guoliang
    Zhang, Qingling
    Yang, Chunyu
    Su, Chengli
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (06): : 1339 - 1357
  • [4] Memory H∞ Control for Continuous-Time Markovian Jump Systems with Time-Varying Delay and Defective Mode Information
    Wei, Yanling
    Qiu, Jianbin
    Karimi, Hamid Reza
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5437 - 5442
  • [5] Control Synthesis for Short-Time Markovian Jump Continuous-Time Linear Systems
    Xiang, Weiming
    Xiao, Jian
    Han, Lu
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (06) : 2799 - 2820
  • [6] Sampled-data control for continuous-time Markovian jump fuzzy systems
    Park, Junmin
    Park, PooGyeon
    [J]. 2018 10TH INTERNATIONAL CONFERENCE ON KNOWLEDGE AND SMART TECHNOLOGY (KST 2018) - CYBERNETICS IN THE NEXT DECADES, 2018, : 7 - 12
  • [7] Model Predictive Control for Continuous-time Markov Jump Linear Systems
    Gu Xinxin
    Wen Jiwei
    Peng Li
    [J]. 2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2071 - 2074
  • [8] Stationary filter for continuous-time Markovian jump linear systems
    Fragoso, MD
    Rocha, NCS
    [J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3702 - 3707
  • [9] Stationary filter for continuous-time Markovian jump linear systems
    Fragoso, MD
    Rocha, NCS
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (03) : 801 - 815
  • [10] Finite-time stabilization of Markovian jump delay systems - a switching control approach
    Wen, Jiwei
    Nguang, Sing Kiong
    Shi, Peng
    Peng, Li
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (02) : 298 - 318