Containment control of second-order discrete-time multi-agent systems with Markovian missing data

Containment control of second-order discrete-time multi-agent systems with Markovian missing data

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

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.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

This study investigates the containment control problem of second-order discrete-time multi-agent systems with Markovian missing data in actuators and one step network-induced time delay. The process of missing data from the controller to the actuator is modelled by a homogeneous, finite-state and discrete-time Markov chain. The authors first discuss the containment control problem for the case when all the elements of the transition probability matrix are completely known, then the result is extended to a more general case with only partially known transition probabilities. The distributed control protocol with one step time delay is proposed. Based on the stochastic Lyapunov–Krasovskii functional method, sufficient conditions in terms of a set of matrix inequalities are given to guarantee that the states of all the followers asymptotically converge to the convex hull formed by the corresponding states of the leaders in mean square sense. A cone complementary linearisation algorithm is used to obtain the control gains. Finally, two numerical simulations are provided to show the effectiveness of theoretical results.


    1. 1)
    2. 2)
    3. 3)
      • 3. Lin, J., Morse, A.S., Anderson, B.D.O.: ‘The multi-agent rendezvous problem’. Proc. 42nd IEEE Conf. on Decision and Control, Hawaii, USA, December 2003, pp. 1508-1513.
    4. 4)
    5. 5)
      • 5. Olfati-Saber, R., Shanma, J.S.: ‘Consensus filters for sensor networks and distributed sensor fusion’. Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conf., Seville, Spain, December 2005, pp. 66986703.
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
    20. 20)
    21. 21)
    22. 22)
    23. 23)
    24. 24)
      • 24. Mei, J., Ren, W., Ma, G.: ‘Distributed containment control for multiple nonlinear systems with identical dynamics’. Proc. 30th Chinese Control Conf., Yantai, China, July 2011, pp. 65446549.
    25. 25)
    26. 26)
    27. 27)
    28. 28)
    29. 29)
    30. 30)
    31. 31)
    32. 32)
    33. 33)
      • 33. Rockafellar, R.T.: ‘Convex analysis’ (Princeton University Press, New Jersey, 1972).
    34. 34)
    35. 35)
      • 35. Boyd, B., Ghaoui, L.E., Feron, E., Balakrishnan, V.: ‘Linear matrix inequalities in system and control theory’ (SIAM, Philadelphia, PA, 1994).
    36. 36)
      • 36. Zhang, X., Wu, M.: ‘Delay-dependent H control for linear discrete-time uncertain systems with multiple unknown delays’, Control Theory Appl., 2006, 23, (6), pp. 918922.
    37. 37)

Related content

This is a required field
Please enter a valid email address