Consensus of delayed multi-agent systems by reduced-order observer-based truncated predictor feedback protocols

Bin Zhou

Consensus of delayed multi-agent systems by reduced-order observer-based truncated predictor feedback protocols

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Author(s): Bin Zhou ¹
- Affiliations: 1: Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, People's Republic of China
Source: Volume 8, Issue 16, 06 November 2014, p. 1741 – 1751
DOI: 10.1049/iet-cta.2014.0038 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 16/01/2014, Accepted 06/06/2014, Revised 02/04/2014, Published 12/08/2014

For high-order linear multi-agent systems with large input and communication delays, a predictor feedback approach is established to design reduced-order observer-based output feedback protocols. This approach can compensate arbitrarily large delays but will lead to infinite dimensional protocols. Under the assumption that the open-loop dynamics is at most polynomially unstable, the proposed predictor feedback protocols is truncated by removing the distributed terms, resulting in a finite dimensional reduced-order observer-based output feedback protocols, which will be referred to as truncated predictor feedback (TPF) protocols. Compared with the predictor feedback protocols, the main advantage of the TPF protocols is that it is very easy to implement. Two numerical examples are worked out to demonstrate the effectiveness of the proposed approaches.

References

1. 1)
  - 15. Zhou, B., Xu, C., Duan, G.R.: ‘Distributed and truncated reduced-order observer based output feedback consensus of multi-agent systems’, IEEE Trans. Autom. Control, 2014, 59, (8), pp. 2264–2270 (doi: 10.1109/TAC.2014.2301573).
2. 2)
  - W.W. Yu , G.R. Chen , M. Cao . Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems. Automatica , 1089 - 1095
3. 3)
  - 21. Ren, W.: ‘Formation keeping and attitude alignment for multiple spacecraft through local interactions’, J. Guid. Control Dyn., 2007, 30, (2), pp. 633–638 (doi: 10.2514/1.25629).
4. 4)
  - J.A. Fax , R.M. Murray . Information flow and cooperative control of vehicle formations. IEEE Trans. Autom. Control , 9 , 1465 - 1476
5. 5)
  - 71. Zhang, H., Lewis, F.: ‘Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics’, Automatica, 2012, 48, (7), pp. 1432–1439 (doi: 10.1016/j.automatica.2012.05.008).
6. 6)
  - 19. Zhou, B., Lin, Z., Duan, G.: ‘Truncated predictor feedback for linear systems with long time-varying input delays’, Automatica, 2012, 48, (10), pp. 2387–2399 (doi: 10.1016/j.automatica.2012.06.032).
7. 7)
  - 37. Su, Y., Huang, J.: ‘Stability of a class of linear switching systems with applications to two consensus problems’, IEEE Trans. Autom. Control, 2012, 57, (6), pp. 1420–1430 (doi: 10.1109/TAC.2011.2176391).
8. 8)
  - Z.K. Li , Z.S. Duan , G.R. Chen , L. Huang . Consensus of multi-agent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans. Cir. Syst. I, Reg. Papers , 1 , 213 - 224
9. 9)
  - 13. Zhou, B., Lin, Z.: ‘Consensus of high-order multi-agent systems with large input and communication delays’, Automatica, 2014, 50, (2), pp. 452–464 (doi: 10.1016/j.automatica.2013.12.006).
10. 10)
  - 4. Ren, W., Cao, Y.: ‘Distributed coordination of multi-agent networks’ Communications and control Engineering Series, Springer-Verlag, London, 2011.
11. 11)
  - J.H. Seo , H. Shim , J. Back . Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach. Automatica , 2659 - 2664
12. 12)
  - Y. Hong , G. Chen , L. Bushnell . Distributed observers design for leader-following control of multi-agent networks. Automatica , 3 , 846 - 850
13. 13)
  - W. Zhang , D. Zeng , S. Qu . Dynamic feedback consensus control of a class of high-order multi-agent systems. IET Control Theory Appl. , 2219 - 2222
14. 14)
  - M. Ulrich , P. Antonis , A. Frank . Delay robustness in consensus problems. Automatica , 8 , 1252 - 1265
15. 15)
  - 22. Zhou, B., Li, Z., Lin, Z.: ‘Observer based output feedback control of linear systems with input and output delays’, Automatica, 2013, 49, (7), pp. 2039–2052 (doi: 10.1016/j.automatica.2013.03.031).
16. 16)
  - 7. Tian, Y., Zhang, Y.: ‘High-order consensus of heterogeneous multi-agent systems with unknown communication delays’, Automatica, 2012, 48, (6), pp. 1205–1212 (doi: 10.1016/j.automatica.2012.03.017).
17. 17)
  - R. Olfati-Saber , R.M. Murray . Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control , 9 , 1520 - 1533
18. 18)
  - 28. Cui, Y., Jia, Y.: ‘L2 − L∞ consensus control for high-order multi-agent systems with switching topologies and time-varying delays’, IET Control Theory Appl., 2012, 6, (12), pp. 1933–1940 (doi: 10.1049/iet-cta.2011.0577).
19. 19)
  - Z. Li , Z. Duan , G. Chen . Consensus of linear multi-agent systems with reduced-order observer-based protocols. Syst. Control Lett. , 7 , 510 - 516
20. 20)
  - 11. Lin, P., Jia, Y., Du, J., Yuan, S.: ‘Distributed consensus control for second-order agents with fixed topology and time delay’, 2007 Chinese Control Conf., 2007, Hunan, China, pp. 577–581.
21. 21)
  - K. You , L. Xie . Coordination of discrete-time multi-agent systems via relative output feedback. Int. J. Robust Nonlinear Control , 13 , 1587 - 1605
22. 22)
  - 20. Engelborghs, K., Luzyanina, T., Samaey, G.: ‘DDE-BIFTOOL v.2.00: Matlab, A, package for bifurcation analysis of delay differential equation’, Department of Computer Science, Leuven, K.U., T.W. Report 330, 2001.

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Consensus of delayed multi-agent systems by reduced-order observer-based truncated predictor feedback protocols

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