Quantized Control Under Round-Robin Communication Protocol

被引:74
作者
Liu, Kun [1 ]
Fridman, Emilia [2 ]
Johansson, Karl Henrik [3 ,4 ]
Xia, Yuanqing [1 ]
机构
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel
[3] KTH Royal Inst Technol, ACCESS Linnaeus Ctr, SE-10044 Stockholm, Sweden
[4] KTH Royal Inst Technol, Sch Elect Engn, SE-10044 Stockholm, Sweden
基金
中国国家自然科学基金; 瑞典研究理事会; 以色列科学基金会;
关键词
Dynamic quantization; Lyapunov method; networked control systems (NCSs); round-robin protocol; switched time-delay systems; NETWORKED CONTROL-SYSTEMS; OUTPUT-FEEDBACK CONTROL; DISCRETE-TIME-SYSTEMS; STABILITY ANALYSIS; LINEAR-SYSTEMS; DELAY SYSTEMS; STABILIZATION; INTERVAL;
D O I
10.1109/TIE.2016.2539259
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 analyzes the exponential stability of a discrete-time linear plant in feedback control over a communication network with N sensor nodes, dynamic quantization, large communication delays, variable sampling intervals, and round-robin scheduling. The closedloop system is modeled as a switched system with multiple-ordered time-varying delays and bounded disturbances. We propose a time-triggered zooming algorithm implemented at the sensors that preserves exponential stability of the closed-loop system. A direct Lyapunov approach is presented for initialization of the zoom variable. The proposed framework can be applied to the plants with polytopic type uncertainties. The effectiveness of the method is illustrated on cart-pendulum and quadruple-tank processes.
引用
收藏
页码:4461 / 4471
页数:11
相关论文
共 36 条
  • [1] Quantized feedback stabilization of linear systems
    Brockett, RW
    Liberzon, D
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) : 1279 - 1289
  • [2] Stability analysis of stochastic networked control systems
    Donkers, M. C. F.
    Heemels, W. P. M. H.
    Bernardini, D.
    Bemporad, A.
    Shneer, V.
    [J]. AUTOMATICA, 2012, 48 (05) : 917 - 925
  • [3] Stochastic Sensor Scheduling for Networked Control Systems
    Farokhi, Farhad
    Johansson, Karl H.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) : 1147 - 1162
  • [4] Control under quantization, saturation and delay: An LMI approach
    Fridman, Emilia
    Dambrine, Michel
    [J]. AUTOMATICA, 2009, 45 (10) : 2258 - 2264
  • [5] The sector bound approach to quantized feedback control
    Fu, MY
    Xie, LH
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) : 1698 - 1711
  • [6] A new delay system approach to network-based control
    Gao, Huijun
    Chen, Tongwen
    Lam, James
    [J]. AUTOMATICA, 2008, 44 (01) : 39 - 52
  • [7] Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance
    Heemels, W. P. Maurice H.
    Teel, Andrew R.
    van de Wouw, Nathan
    Nesic, Dragan
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (08) : 1781 - 1796
  • [8] Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
  • [9] A survey of recent results in networked control systems
    Hespanha, Joao P.
    Naghshtabrizi, Payam
    Xu, Yonggang
    [J]. PROCEEDINGS OF THE IEEE, 2007, 95 (01) : 138 - 162
  • [10] The quadruple-tank process: A multivariable laboratory process with an adjustable zero
    Johansson, KH
    [J]. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2000, 8 (03) : 456 - 465