A stability problem of the linear networked control systems (NCSs) with multisensor having different
data missing rates is investigated in this paper. Each sensor of the multiple sensor-controller communication
channels is assumed to have an individual stochastic data missing rate. The stochastic data missing is described by
a Bernoulli binary distribution. Sufficient conditions are given for the closed-loop linear NCS which is exponentially
stable in the mean square sense as the existence of random multiple data missing. The stability problem could be
disposed by the MATLAB linear matrix inequality (LMI) tool easily. A simulation case is provided to illustrate
the validity of the presented LMI approach.
LI Jian-guoa*(李建国), LU Lia (陆丽), JIANG Yingb (蒋赢), PAN San-bob (潘三博)
. Stability Analysis of Networked Linear Systems for Multiple Sensors with Different Packet Loss Probabilities[J]. Journal of Shanghai Jiaotong University(Science), 2015
, 20(5)
: 528
-534
.
DOI: 10.1007/s12204-015-1660-5
[1] You K, Xie L. Survey of recent progress in networked control systems [J]. Acta Automatica Sinica,2013, 39(2): 101-117.
[2] Han F, Feng G,Wang Y, et al. A novel dropout compensation scheme for control of networked T-S fuzzy dynamic systems [J]. Fuzzy Sets and Systems, 2014,235: 44-61.
[3] Yang F, Han Q. H∞ control for networked systems with multiple packet dropouts [J]. Information Sciences,2013, 252: 106-117.
[4] Tang X, Ding B. Model predictive control of linear systems over networks with data quantizations and packet losses [J]. Automatica, 2013, 49(5): 1333-1339.
[5] Li H, Yang H, Sun F, et al. A network-bounddependent stabilization method of networked control systems [J]. Automatica, 2013, 49(8): 2561-2566.
[6] Wang Z, Shen B, Liu X. H∞ filtering with randomly occurring sensor saturations and missing measurements[J]. Automatica, 2012, 48(3): 556-562.
[7] Zhang B, Zheng W. H∞ filter design for nonlinear networked control systems with uncertain packet-loss probability [J]. Signal Processing, 2012, 92(6): 1499-1507.
[8] Li J G, Yuan J Q, Lu J G. Observer-based H∞ control for networked nonlinear systems with random packet losses [J]. ISA Transactions, 2010, 49(1): 39-46.
[9] Wang Z, Yang F, Ho D W C, et al. Robust H∞ control for networked systems with random packet losses [J]. IEEE Transactions on Systems, Man, and Cybernetics—Part B: Cybernetics, 2007, 37(4): 916-924.
[10] Dong H, Wang Z, Ho D W C, et al. Varianceconstrained H∞ filtering for a class of nonlinear timevarying systems with multiple missing measurements:The finite-horizon case [J]. IEEE Transactions On Signal Processing, 2010, 58(5): 2534-2543.
[11] Wei G, Wang Z, Shu H. Robust filtering with stochastic nonlinearities and multiple missing measurements[J]. Automatica, 2009, 45(3): 836-841.
[12] Hounkpevi F O, Yaz E E. Robust minimum variance linear state estimators for multiple sensors with different failure rates [J]. Automatica, 2007, 43(7): 1274-1280.
[13] Hounkpevi F O, Yaz E E. Minimum variance generalized state estimators for multiple sensors with different delay rates [J]. Signal Processing, 2007, 87(4):602-613.
[14] Hong S H. Scheduling algorithm of data sampling times in the integrated communication and control systems[J]. IEEE Transactions on Control Systems Technology.1995, 3(2): 225-230.
[15] Gajic Z, Qureshi M T J. Lyapunov matrix equation in system stability and control [M]. San Diego: Academic Press, 1995.