http://iet.metastore.ingenta.com
1887

Stationary average consensus for high-order multi-agent systems

Stationary average consensus for high-order multi-agent systems

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

Buy article PDF
$19.95
(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
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
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.

The stationary average consensus problem is studied for high-order multi-agent systems (MASs) under balanced directed networks. The objective is to bring the positions of agents to the average of their initial positions while allowing all the remaining states (e.g., velocity, acceleration, and higher-order states) to converge to zero. To this end, the authors propose two consensus protocols for high-order MASs in two cases: (i) state-feedback control, which assumes that each agent has access to its own states as well as the relative positions of its neighbours; and (ii) output-feedback control, where each agent measures only its own position and the relative positions of its neighbours. Two case studies are given to illustrate the advantages and effectiveness of the proposed protocols. In the first case study, a state-feedback controller is designed for consensus-based formation control of a team of vertical take-off and landing aircraft. In the second case study, an output-feedback consensus protocol is designed for a third-order MAS and compare it with a recent technique from the literature.

References

    1. 1)
      • 1. Wang, L., Meng, B.: ‘Adaptive position feedback consensus of networked robotic manipulators with uncertain parameters and communication delays’, IET Control Theory Appl., 2015, 9, (13), pp. 19561963.
    2. 2)
      • 2. Amelina, N., Fradkov, A., Jiang, Y., et al: ‘Approximate consensus in stochastic networks with application to load balancing’, IEEE Trans. Inf. Theory, 2015, 61, (4), pp. 17391752.
    3. 3)
      • 3. Lu, X., Chen, N., Wang, Y., et al: ‘Distributed impulsive control for islanded microgrids with variable communication delays’, IET Control Theory Appl., 2016, 10, (14), pp. 17321739.
    4. 4)
      • 4. Zhou, N., Xia, Y., Fu, M., et al: ‘Distributed cooperative control design for finite-time attitude synchronisation of rigid spacecraft’, IET Control Theory Appl., 2015, 9, (10), pp. 15611570.
    5. 5)
      • 5. Dong, X., Yu, B., Shi, Z., et al: ‘Time-varying formation control for unmanned aerial vehicles: theories and applications’, IEEE Trans. Control Syst. Technol., 2015, 23, (1), pp. 340348.
    6. 6)
      • 6. Olfati-Saber, R., Murray, R.M.: ‘Consensus problems in networks of agents with switching topology and time-delays’, IEEE Trans. Autom. Control, 2004, 49, (9), pp. 15201533.
    7. 7)
      • 7. Ren, W., Beard, R.: ‘Consensus seeking in multiagent systems under dynamically changing interaction topologies’, IEEE Trans. Autom. Control, 2005, 50, (5), pp. 655661.
    8. 8)
      • 8. Nosrati, S., Shafiee, M., Menhaj, M.B.: ‘Synthesis and analysis of robust dynamic linear protocols for dynamic average consensus estimators’, IET Control Theory Appl., 2009, 3, (11), pp. 14991516.
    9. 9)
      • 9. Nosrati, S., Shafiee, M., Menhaj, M.B.: ‘Dynamic average consensus via nonlinear protocols’, Automatica, 2012, 48, (9), pp. 22622270.
    10. 10)
      • 10. Wang, H., Liao, X., Huang, T., et al: ‘Improved weighted average prediction for multi-agent networks’, Circuits Syst. Signal Process., 2014, 33, (6), pp. 17211736.
    11. 11)
      • 11. Wang, H., Liao, X., Huang, T.: ‘Accelerated consensus to accurate average in multi-agent networks via state prediction’, Nonlinear Dyn., 2013, 73, (1-2), pp. 551563.
    12. 12)
      • 12. Ren, W.: ‘Consensus strategies for cooperative control of vehicle formations’, IET Control Theory Appl., 2007, 1, (2), pp. 505512.
    13. 13)
      • 13. Yu, W., Chen, G., Cao, M.: ‘Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems’, Automatica, 2010, 46, (6), pp. 10891095.
    14. 14)
      • 14. Xie, G., Wang, L.: ‘Consensus control for a class of networks of dynamic agents’, Int. J. Robust Nonlinear Control, 2007, 17, (10-11), pp. 941959.
    15. 15)
      • 15. Lin, P., Jia, Y.: ‘Consensus of a class of second-order multi-agent systems with time-delay and jointly-connected topologies’, IEEE Trans. Autom. Control, 2010, 55, (3), pp. 778784.
    16. 16)
      • 16. Ren, W.: ‘On consensus algorithms for double-integrator dynamics’, IEEE Trans. Autom. Control, 2008, 53, (6), pp. 15031509.
    17. 17)
      • 17. Hou, B., Sun, F., Li, H., et al: ‘Stationary and dynamic consensus of second-order multi-agent systems with Markov jumping input delays’, IET Control Theory Appl., 2014, 8, (17), pp. 19051913.
    18. 18)
      • 18. Pei, Y., Sun, J.: ‘Necessary and sufficient conditions of stationary average consensus for second-order multi-agent systems’, Int. J. Syst. Sci., 2016, 47, (15), pp. 16.
    19. 19)
      • 19. Ren, W., Moore, K.L., Chen, Y.: ‘High-order and model reference consensus algorithms in cooperative control of multivehicle systems’, ASME J. Dyn. Syst. Meas. Control, 2007, 129, (5), pp. 678688.
    20. 20)
      • 20. Yu, W., Chen, G., Ren, W., et al: ‘Distributed higher order consensus protocols in multiagent dynamical systems’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2011, 58, (8), pp. 19241932.
    21. 21)
      • 21. Zhang, W., Zeng, D., Qu, S.: ‘Dynamic feedback consensus control of a class of high-order multi-agent systems’, IET Control Theory Appl., 2010, 4, (10), pp. 22192222.
    22. 22)
      • 22. He, W., Cao, J.: ‘Consensus control for high-order multi-agent systems’, IET Control Theory Appl., 2011, 5, (1), pp. 231238.
    23. 23)
      • 23. Jiang, F., Wang, L., Xie, G.: ‘Consensus of high-order dynamic multi-agent systems with switching topology and time-varying delays’, J. Control Theory Appl., 2010, 8, (1), pp. 5260.
    24. 24)
      • 24. Su, S., Lin, Z.: ‘Distributed consensus control of multi-agent systems with higher order agent dynamics and dynamically changing directed interaction topologies’, IEEE Trans. Autom. Control, 2016, 61, (2), pp. 515519.
    25. 25)
      • 25. Rezaee, H., Abdollahi, F.: ‘Average consensus over high-order multiagent systems’, IEEE Trans. Autom. Control, 2015, 60, (11), pp. 30473052.
    26. 26)
      • 26. Wen, G., Hu, G., Yu, W., et al: ‘Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs’, Syst. Control Lett., 2013, 62, (12), pp. 11511158.
    27. 27)
      • 27. Hauser, J., Sastry, S., Meyer, G.: ‘Nonlinear control design for slightly non-minimum phase systems: application to v/stol aircraft’, Automatica, 1992, 28, (4), pp. 665679.
    28. 28)
      • 28. Olfati-Saber, R.: ‘Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles’. PhD thesis, Massachusetts Institute of Technology, 2001.
    29. 29)
      • 29. Ogata, K.: ‘Modern control engineering’ (Prentice-Hall PTR, 2001).
    30. 30)
      • 30. Ren, W., Beard, R.W., Atkins, E.M.: ‘Information consensus in multivehicle cooperative control’, IEEE Control Syst. Mag., 2007, 27, (2), pp. 7182.
    31. 31)
      • 31. Olfati-Saber, R.: ‘Global configuration stabilization for the vtol aircraft with strong input coupling’, IEEE Trans. Autom. Control, 2002, 47, (11), pp. 19491952.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2016.0129
Loading

Related content

content/journals/10.1049/iet-cta.2016.0129
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address