PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2014 | 12 | 6 | 406-414
Article title

Realizing actual feedback control of complex network

Content
Title variants
Languages of publication
EN
Abstracts
EN
In this paper, we present the concept of feedbackability and how to identify the Minimum Feedbackability Set of an arbitrary complex directed network. Furthermore, we design an estimator and a feedback controller accessing one MFS to realize actual feedback control, i.e. control the system to our desired state according to the estimated system internal state from the output of estimator. Last but not least, we perform numerical simulations of a small linear time-invariant dynamics network and a real simple food network to verify the theoretical results. The framework presented here could make an arbitrary complex directed network realize actual feedback control and deepen our understanding of complex systems.
Publisher

Journal
Year
Volume
12
Issue
6
Pages
406-414
Physical description
Dates
published
1 - 6 - 2014
online
31 - 5 - 2014
Contributors
author
  • School of Automation Engineering, University of Electronic Science and Technology of China, 611731, Chengdu, PR China
author
  • School of Automation Engineering, University of Electronic Science and Technology of China, 611731, Chengdu, PR China, yhcheng@uestc.edu.cn
References
  • [1] S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D. Hwang, Phys. Rep. 424, 175 (2006) http://dx.doi.org/10.1016/j.physrep.2005.10.009[Crossref]
  • [2] L.d.F. Costa et al., Adv. Phys. 60, 329 (2011) http://dx.doi.org/10.1080/00018732.2011.572452[Crossref]
  • [3] M.E.J. Newman, Networks: An Introduction, (Oxford University Press Inc., New York United States, 2010) http://dx.doi.org/10.1093/acprof:oso/9780199206650.001.0001[Crossref]
  • [4] O. Sporns, Networks of the Brain, (The MIT Press Cambridge, Massachusetts London, England 2011)
  • [5] R.E. Kalman, J. Soc. Ind. Aappl. Math. 1, 152 (1962) http://dx.doi.org/10.1137/0301010[Crossref]
  • [6] R.C. Dorf, R.H. Bishop, Modern Control Systems, (PearsonEducation, Inc., UpperSaddleRiver, NewJersey 07458, 2011)
  • [7] D.G. Luenberger, Introduction to Dynamic Systems: Theory, Models, and Applications, (Wiley, 1979)
  • [8] C.-T. Lin, IEEE Trans. on Automatic Control 19, 201 (1974) http://dx.doi.org/10.1109/TAC.1974.1100557[Crossref]
  • [9] R.a.P. Shields, IEEE Trans. on Automatic Control 21, 203 (1976) http://dx.doi.org/10.1109/TAC.1976.1101198[Crossref]
  • [10] S. Hosoe, IEEE Trans. on Automatic Control 25, 1192 (1980) http://dx.doi.org/10.1109/TAC.1980.1102506[Crossref]
  • [11] J.-M. Dion, C. Commault, J. van der Woude, Automatica 39, 1125 (2003) http://dx.doi.org/10.1016/S0005-1098(03)00104-3[Crossref]
  • [12] Y.-Y. Liu, J.-J. Slotine, A.-L. Barabasi, Controllability of complex networks, Nature 473, 167 (2011)
  • [13] N.J. Cowan, E.J. Chastain, D.A. Vilhena, J.S. Freudenberg, C.T. Bergstrom, PLoS One 7, e38398 (2012) http://dx.doi.org/10.1371/journal.pone.0038398[Crossref]
  • [14] Y.-Y. Liu, J.-J. Slotine, A.-L. Barabasi, PLoS One 7 (2012)
  • [15] T. Nepusz, T. Vicsek, Nat. Phys. 8, 568 (2012) http://dx.doi.org/10.1038/nphys2327[Crossref]
  • [16] W.-X. Wang, X. Ni, Y.-C. Lai, C. Grebogi, Phys. Rev. E, 85 (2012)
  • [17] G. Yan, J. Ren, Y.-C. Lai, C.-H. Lai, B. Li, Phys. Rev. Lett. 108, (2012)
  • [18] D. Delpini, S. Battiston, M. Riccaboni, G. Gabbi, F. Pammolli, G. Caldarelli, Scientific Reports 3, 1626 (2013) http://dx.doi.org/10.1038/srep01626[Crossref]
  • [19] T. Jia, A.L. Barabasi, Scientific Reports 3, 2354 (2013) http://dx.doi.org/10.1038/srep02354[Crossref]
  • [20] T. Jia, Y.Y. Liu, E. Csoka, M. Posfai, J.J. Slotine, A.L. Barabasi, Nature Communications 4, 2002 (2013) http://dx.doi.org/10.1038/ncomms3002[Crossref]
  • [21] J.C. Nacher, T. Akutsu, Scientific Reports 3, 1647 (2013) http://dx.doi.org/10.1038/srep01647[Crossref]
  • [22] M. Posfai, Y.Y. Liu, J.J. Slotine, A.L. Barabasi, Scientific Reports 3, 1067 (2013) http://dx.doi.org/10.1038/srep01067[Crossref]
  • [23] Y.Y. Liu, J.J. Slotine, A.L. Barabasi, P. Natl. Acad. Sci. USA 110, 2460 (2013) http://dx.doi.org/10.1073/pnas.1215508110[Crossref]
  • [24] W.J. Rugh, Linear system theory, (Prentice-Hail, Inc, 1996)
  • [25] C.-T. Chen, Linear System Theory and Design, (Oxford University Press, 1998)
  • [26] F.L. Lewis, Optimal Estimation: With an Introduction to Stochastic Control Theory, (John Wiley & Sons, Inc, 1986., 1986)
  • [27] G.F. Franklin, J.D. Powell, M.L. Workman, Digital Control of Dynamic Systems, Second Edition ed., (Addison-Wesley, 1990)
  • [28] B.D.O. Anderson, J.B. Moore, Optimal control linear quadratic methods, (Prentice-Hall, Inc., 1989)
  • [29] D.S. Naidu, Optimal control systems, (CRC Press, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431, 2003)
  • [30] P.C. Young, J.C. Willems, International Journal of Control, 15, 961 (1972) http://dx.doi.org/10.1080/00207177208932211[Crossref]
  • [31] S.O. Haykin, Adaptive Filter Theory, (Prentice Hall, 2002)
  • [32] W. Liu, J.C. Principe, S. Haykin, Kernel Adaptive Filtering: A Comprehensive Introduction, (Wiley, 2010) http://dx.doi.org/10.1002/9780470608593[Crossref]
  • [33] K.J. Astrom, D.B. Wittenmark, Adaptive Control: Second Edition, (Dover Publications, 2008)
  • [34] S. Sastry, M. Bodson, Engineering, Adaptive Control: Stability, Convergence and Robustness, (Dover Publications, 2011)
  • [35] K. Zhou, J.C. Doyle, Essentials of Robust Control, (Prentice Hall, 1998)
  • [36] S. Skogestad, I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, (Wiley-Interscience, 2005)
  • [37] E. Davison, A. Goldenberg, Automatica 11, 461 (1975) http://dx.doi.org/10.1016/0005-1098(75)90022-9[Crossref]
  • [38] E. Davison, IEEE Trans. on Automatic Control 21, 25 (1976) http://dx.doi.org/10.1109/TAC.1976.1101137[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0462-y
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.