Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data
Robust energy-to-peak filtering for networked systems with time-varying delays and randomly missing data
- Author(s): H. Zhang ; Y. Shi ; A. Saadat Mehr
- DOI: 10.1049/iet-cta.2009.0243
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): H. Zhang 1 ; Y. Shi 1 ; A. Saadat Mehr 2
-
-
View affiliations
-
Affiliations:
1: Department of Mechanical Engineering, University of Victoria, Victoria, Canada
2: Department of Electrical and Computer Engineering, University of Saskatchewan, Saskatoon, Canada
-
Affiliations:
1: Department of Mechanical Engineering, University of Victoria, Victoria, Canada
- Source:
Volume 4, Issue 12,
December 2010,
p.
2921 – 2936
DOI: 10.1049/iet-cta.2009.0243 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study is concerned with the robust energy-to-peak (l2–l∞) filtering problem for a class of uncertain linear discrete-time networked control systems with time-varying delays and randomly missing data. The system matrices are assumed to reside in a convex polytope, and the time-varying delays appearing in system states are assumed to lie in a given interval. Moreover, the random data missing is supposed to satisfy the Bernoulli random binary distribution. The authors' goal is to design a full-order filter such that the filtering error dynamic system is exponentially mean-square stable for all admissible time delays and randomly missing data while a prescribed l2–l∞ performance is achieved. Sufficient delay- and parameter-dependent conditions for the existence of the filter and for the solvability of the addressed problem are given in terms of a set of linear matrix inequalities. Finally, simulation examples and comparison studies are provided to demonstrate the effectiveness of the proposed approach.
Inspec keywords: robust control; distributed control; linear matrix inequalities; discrete time systems; decentralised control; delays; time-varying systems
Other keywords:
Subjects: Discrete control systems; Multivariable control systems; Algebra; Stability in control theory; Distributed parameter control systems; Time-varying control systems
References
-
-
1)
- R.M. Palhares , L.D.P. Pedro . Robust filtering with guaranteed energy-to-peak performance- an LMI approach. Automatica , 851 - 858
-
2)
- Y. Shi , T. Chen . Optimal design of multi-channel transmultiplexers with stopband energy and passband magnitude constraints. IEEE Trans. Circuits Syst. II , 9 , 659 - 662
-
3)
- L. Zhang , P. Shi , E.K. Boukas , C. Wang . Robust l2-l∞ filtering for switched linear discrete time-delay systems with polytopic uncertainties. IET Control Theory Appl. , 3 , 722 - 730
-
4)
- M. Sahebsara , T. Chen , S.L. Shah . Optimal H∞ filtering in networked control systems with multiple packet dropouts. Syst. Control Lett. , 9 , 696 - 702
-
5)
- Y. Shi , B. Yu . Output feedback stabilization of networked control systems with random delays modeled by Markov chains. IEEE Trans. Autom. Control , 7 , 1668 - 1674
-
6)
- G. Wei , Z. Wang , H. Shu . Robust filtering with stochastic nonlinearities and multiple missing measurements. Automatica , 3 , 836 - 841
-
7)
- Y. Shi , H. Fang , M. Yan . Kalman filter based adaptive control for networked systems with unknown parameters and randomly missing outputs. Int. J. Robust Nonlinear Control , 18 , 1976 - 1992
-
8)
- Xiao, L., Jonathan, A.H., How, P.: `Control with random communication delays via a discrete-time jump system approach', Proc. American Control Conf., 2000, Chicago, IL, p. 2199–2204.
-
9)
- Z. Wang , D.W.C. Ho , X. Liu . Variance-constrained filtering for uncertain stochastic systems with missing measurements. IEEE Trans. Autom. Control , 7 , 1254 - 1258
-
10)
- B. Yu , Y. Shi , H. Huang . l2–l∞ filtering for multirate systems based on lifted models. Circuits Syst. Signal Process. , 5 , 699 - 711
-
11)
- H. Gao , J. Lam , C. Wang . Robust energy-to-peak filter design for stochastic time-delay systems. Syst. Control Lett. , 101 - 111
-
12)
- M. Huang , S. Dey . Stability of Kalman filtering with Markovian packet losses. Automatica , 598 - 607
-
13)
- Y. Liang , T. Chen , Q. Pan . Multi-rate stochastic H∞ filtering for networked multi-sensor fusion. Automatica , 2 , 437 - 444
-
14)
- Y. Shi , F. Ding , T. Chen . 2-norm based recursive design of transmultiplexers with designable filter length. Circuits Syst. Signal Process. , 4 , 447 - 462
-
15)
- Schenato, L.: `Optimal estimation in networked control systems subject to random delay and packet loss', Proc. 45th IEEE Conf. Decision and Control, 2006, San Diego, CA, p. 5615–5620.
-
16)
- Z. Wang , F. Yang , D.W.C. Ho , X. Liu . Robust finite-horizon filtering for stochastic systems with missing measurements. IEEE Signal Process. Lett. , 6 , 437 - 440
-
17)
- Y. Shi , H. Fang . Kalman filter-based identification for systems with randomly missing measurements in a network environment. Int. J. Control , 3 , 538 - 551
-
18)
- M.C. de Oliveira , J. Bernussou , J.C. Geromel . A new discrete-time robust stability condition. Syst. Control Lett. , 261 - 265
-
19)
- H. Gao , C. Wang . Robust energy-to-peak filtering with improved LMI representations. IEE Proc., Vis. Image Signal Process. , 82 - 89
-
20)
- L. Wu , Z. Wang , C. Wang , H. Gao . Robust H∞ and L−L∞ filtering for two-dimensional linear parameter-varying systems. Int. J. Robust Nonlinear Control , 12 , 1129 - 1154
-
21)
- L. Zhang , P. Shi , C. Wang , H. Gao . Robust H∞ filtering for switched linear discrete-time systems with polytopic uncertainties. Int. J. Adapt. Control Signal Process. , 6 , 291 - 304
-
22)
- Z. Wang , F. Yang , D.W.C. Ho , X. Liu . Robust H∞ filtering for stochastic time-delay systems with missing measurements. IEEE Trans. Signal Process. , 7 , 2579 - 2587
-
23)
- H.J. Gao , T.W. Chen , J. Lam . A new delay system approach to network-based control. Automatica , 39 - 52
-
24)
- M. Yu , L. Wang , T. Chu . Sampled-data stabilisation of networked control systems with nonlinearity. IEE Proc. Control Theory Appl. , 6 , 609 - 614
-
25)
- W. Zhang , M.S. Branicky , S.M. Phillips . Stability of networked control systems. IEEE Control Syst. Mag. , 84 - 99
-
26)
- M. Sahebsara , T. Chen , S.L. Shah . Optimal H2 filtering in networked control systems with multiple packet dropout. IEEE Trans. Autom. Control , 8 , 1508 - 1513
-
27)
- H. Liu , F. Sun , Z. Sun . Reduced-order filtering with energy-to-peak performance for discrete-time markovian jumping systems. IMA J. Math. Control Inf. , 4 , 143 - 158
-
28)
- Y. Liang , T. Chen , Q. Pan . Multi-rate optimal state estimation. Int. J. Control , 11 , 2059 - 2076
-
29)
- X. He , D. Zhou . Robust H∞ filtering for time-delay systems with missing measurements: a parameter-dependent approach. J. Control Theory Appl. , 4 , 336 - 344
-
30)
- H. Gao , X. Meng , T. Chen . Stabilization of networked control systems with a new delay characterization. IEEE Trans. Autom. Control , 9 , 2142 - 2148
-
31)
- Z. Wang , J. Lam , X. Liu . Filtering for a class of nonlinear discrete-time stochastic systems with state delays. J. Comput. Appl. Math. , 1 , 153 - 163
-
32)
- J. Xia , S. Xu , B. Song . Delay-dependent L−L∞ filter design for stochastic time-delay systems. Syst. Control Lett. , 579 - 587
-
33)
- N.E. Nahi . Optimal recursive estimation with uncertain observation. IEEE Trans. Inf. Theory , 457 - 462
-
34)
- Y.S. Moon , P. Park , W.H. Kwon , Y.S. Lee . Delay-dependent robust stabilization of uncertain state-delayed systems. Int. J. Control , 14 , 1447 - 1455
-
35)
- M. Yan , Y. Shi . Robust discrete-time sliding mode control for uncertain systems with time-varying state delay. IET Control Theory Appl. , 8 , 662 - 674
-
36)
- Yu, M., Wang, L., Chu, T., Hao, F.: `An LMI approach to networked control systems with data packet dropout and trasmission delays', Proc. 43th IEEE Conf. Decision and Control, 2004, Nassau, Bahamas, p. 3545–3550.
-
37)
- M. Garcia-Rivera , A. Barreiro . Analysis of networked control systems with drops and variable delays. Automatica , 2054 - 2059
-
38)
- L. Zhang , Y. Shi , T. Chen , B. Huang . A new method for stabilization of networked control systems with random delays. IEEE Trans. Autom. Control , 8 , 1177 - 1181
-
39)
- K.M. Grigoriadis , J.T. Watson . Reduced-order ℋ∞ and ℒ2–ℒ∞ filtering via linear matrix inequalities. IEEE Trans. Aerosp. Electron. Syst. , 1326 - 1338
-
40)
- Y. Shi , F. Ding , T. Chen . Multirate crosstalk identification in XDSL systems. IEEE Trans. Comm. , 10 , 1878 - 1886
-
1)
Related content
