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Resilient Distributed Control of Multi-agent Cyber-Physical Systems

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Book cover Control of Cyber-Physical Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 449))

Abstract

Multi-agent cyber-physical systems (CPSs) are ubiquitous in modern infrastructure systems, including the future smart grid, transportation networks, and public health systems. Security of these systems are critical for normal operation of our society. In this paper, we focus on physical layer resilient control of these systems subject to cyber attacks and malicious behaviors of physical agents. We establish a cross-layer system model for the investigation of cross-layer coupling and performance interdependencies for CPSs. In addition, we study a two system synchronization problem in which one is a malicious agent who intends to mislead the entire system behavior through physical layer interactions. Feedback Nash equilibrium is used as the solution concept for the distributed control in the multi-agent system environment. We corroborate our results with numerical examples, which show the performance interdependencies between two CPSs through cyber and physical interactions.

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References

  1. Başar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory. SIAM Series in Classics in Applied Mathematics (January 1999)

    Google Scholar 

  2. Alpcan, T., Başar, T.: Network Security: A Decision and Game Theoretic Approach. Cambridge University Press (January 2011)

    Google Scholar 

  3. Zhu, Q., Bushnell, L., Başar, T.: Game-theoretic analysis of node capture and cloning attack with multiple attackers in wireless sensor networks. In: Proc. 51st IEEE Conference on Decision and Control, CDC 2012, Maui, Hawaii, December 10-13 (2012)

    Google Scholar 

  4. Zhu, Q., Başar, T.: Robust and resilient control design for cyber-physical systems with an application to power systems. In: Proc. of 50th IEEE Conference on Decision and Control and European Control Conference (CDC/ECC), Orlando, Florida, December 12-15, pp. 4066–4071 (2011)

    Google Scholar 

  5. Zhu, Q., Başar, T.: A dynamic game-theoretic approach to resilient control system design for cascading failures. In: Proc. of International Conference on High Confidence Networked Systems (HiCoNS) at CPSWeek 2012, Beijing, China, pp. 41–46 (2012)

    Google Scholar 

  6. Başar, T., Bernhard, P.: H-infinity Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Birkhäuser, Boston (August 1995)

    Google Scholar 

  7. Lye, K., Wing, J.M.: Game strategies in network security. International Journal of Information Security 4(1-2), 71–86 (2005)

    Article  Google Scholar 

  8. Zhu, Q., Başar, T.: Dynamic policy-based IDS configuration. In: Proc. 48th IEEE Conference on Decision and Control, CDC 2009, Shanghai, China, December 16-18 (2009)

    Google Scholar 

  9. Zhu, Q., Başar, T.: Toward a theory of multi-resolution games. Submitted to SIAM Conference on Control and Its Applications (CT13)

    Google Scholar 

  10. Zhu, Q., Başar, T.: Multi-layer and multi-resolution large population stochastic games. In: 2012 SIAM Annual Meeting, Minneapolis, Minnesota, July 9-13 (2012)

    Google Scholar 

  11. Pan, Z., Başar, T.: H-infinity control of Markovian jump systems and solutions to associated piecewise-deterministic differential games. In: Olsder, G.J. (ed.) New Trends in Dynamic Games and Applications, pp. 61–94. Birkhäuser, Boston (1995)

    Chapter  Google Scholar 

  12. Ji, Y., Chizeck, H.J.: Controllability, stabilizability, and continuous-time Markov jump linear quadratic control. IEEE Trans. on Automatic Control AC-35, 777–788 (1990)

    Article  MathSciNet  Google Scholar 

  13. Başar, T.: Minimax control of switching systems under sampling. Systems and Control Letters 25(5), 315–325 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  14. Zhu, Q., Başar, T.: A hierarchical security architecture for smart grid. In: Hossain, E., Han, Z., Poor, H.V. (eds.) Smart Grid Communications and Networking. Cambridge University Press (2012)

    Google Scholar 

  15. Manshaei, M.H., Zhu, Q., Alpcan, T., Başar, T., Hubaux, J.-P.: Game theory meets network security and privacy. ACM Computing Survey 45(3) (2013, to appear)

    Google Scholar 

  16. Zhu, Q., Tembine, H., Başar, T.: Network security configuration: A nonzero-sum stochastic game approach. In: Proc. 2010 American Control Conference (ACC 2010), Baltimore, Maryland, June 30-July 2, pp. 1059–1064 (2010)

    Google Scholar 

  17. Kunreuther, H., Heal, G.: Interdependent security. Journal of Risk and Uncertainty 26(2), 231–249 (2003)

    Article  MATH  Google Scholar 

  18. Liacco, T.D.: The adaptive reliability control system. IEEE Trans. on Power Apparatus & Systems PAS-86(5), 517–523 (1967)

    Article  Google Scholar 

  19. Falliere, N., Murchu, L.O., Chien, E.: W32. Stuxnet Dossier. Symantec Reports (February 2011)

    Google Scholar 

  20. Başar, T., Haurie, A.: Feedback equilibria in differential games with structural and modal uncertainties. In: Cruz Jr., J.B. (ed.) Advances in Large Scale Systems, vol. 1, pp. 163–201. JAI Press Inc., Connecticut (1984)

    Google Scholar 

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Correspondence to Quanyan Zhu .

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Zhu, Q., Bushnell, L., Başar, T. (2013). Resilient Distributed Control of Multi-agent Cyber-Physical Systems. In: Tarraf, D. (eds) Control of Cyber-Physical Systems. Lecture Notes in Control and Information Sciences, vol 449. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-01159-2_16

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  • DOI: https://doi.org/10.1007/978-3-319-01159-2_16

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-01158-5

  • Online ISBN: 978-3-319-01159-2

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