Consensus Tracking for Multiagent Systems Under Bounded Unknown External Disturbances Using Sliding-PID Control

Authors

  • Ahmed Almalki Aerospace Engineering Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Belkacem Kada Aerospace Engineering Department, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Keywords:

consensus tracking, multiagent systems, PID controller, sliding mode control, robustness

Abstract

This paper is devoted to the study of consensus tracking for multiagent systems under unknown but bounded external disturbances. A consensus tracking protocol which is a combination between the conventional PID controller and sliding mode controller named sliding-PID protocol is proposed. The protocol is applied to the consensus tracking of multiagent system under bounded external disturbances where results showed high effectiveness and robustness.

References

N. Firdausiyah, E. Taniguchi and A.G. Qureshi. “Modeling city logistics using adaptive dynamic programming based multi-agent simulation” Transportation Research Part E: Logistics and Transportation Review, vol. 125, pp. 74-96, May 2019.

N. Rodrigues, E. Oliveira and P. Leitao. “Decentralized and on-the-fly agent-based service reconfiguration in manufacturing systems” Computers in Industry, vol. 101, pp. 81-90, Oct. 2018.

P. Theron, A. Kott, M. Drasar, K. Rzadea, B. LeBlanc, M. Pihelgas, L. Mancini and A. Panico. “Towards an active, autonomous and intelligent cyber defense of military systems: the NATO AICA reference architecture” 2018 International Conference on Military Communications and Information Systems (ICMCIS), Warsaw, 2018, pp. 1-9.

A. Din, M. Jabeen, K. Zia, A. Khalid and D. K. Saini “Behavior-based swarm robotic search and rescue using fuzzy controller” Computer and Electrical Engineering, vol. 70, pp. 53-65, Aug. 2018.

M. Salazar, F. Rossi, M. Schiffer, C. H. Onder and M. Pavone “On the interaction between autonomous mobility-on-demand and public transportation systems” 2018 21st International Conference on Intelligent Transportation Systems (ITSC), Maui, HI, 2018, pp. 2262-2269.

B. Wei and F. Xiao. “Distributed consensus control of linear multiagent systems with adaptive nonlinear couplings” in IEEE Transactions on Systems, Man and Cybernetics: System. 2019.

W. Xu, D. W. C. Ho, L. Li and J. Cao. “Event-Triggered Schemes on Leader-Following Consensus of General Linear Multiagent Systems Under Different Topologies” IEEE Transaction on Cybernetics, vol. 47, no. 1, pp. 212-223, Jan. 2017.

B. Cheng and Z. Li. “Fully distributed event-triggered protocols for linear multi-agent networks” IEEE Transaction on Automatic Control, vol. 64, no. 4, pp. 1655-1662, April 2019.

D. Zhang, Z. Xu, H. R. Karimi, Q. Wang and L. Yu. “Distributed H_∞Output-Feedback Control for Consensus of Heterogeneous Linear Multiagent Systems with Aperiodic Sampled-Data Communications” IEEE Transactions on Industrial Electronics, vol. 65, no. 5, pp. 4145-4155, May 2018.

C. Deng and G. Yang “Distributed adaptive fault-tolerant control approach to cooperative output regulation for linear multi-agent systems” Automatica, vol. 103, pp. 62-68, May 2019.

Y. Zhao, Y. Liu, G. Wen, W. Ren and G. Chen. “Designing distributed specified-time consensus protocols for linear multi-agent systems over directed graphs” IEEE Transactions on Automatic Control, vol. 64, no. 7, pp. 2945-2952, July 2019.

B. Kada. “A new methodology to design sliding-PID controllers: application to missile flight control system” IFAC Proceedings Volumes, vol. 45, Issue 3, pp. 673-678, 2012.

A. Shariati and M. Tavakoli. “A Descriptor Aapproach to Robust Leader-Following Output Consensus of Uncertain Multi-Agent Systems with Delay” IEEE Transactions on Automatic Control, vol. 62, no. 10, pp. 5310-5317, Oct. 2017.

D. Wang and R. Zhang. “Design of distributed PID-type dynamic matrix controller for fractional-order systems” International Journal of Systems Science, vol. 49, pp. 435-448, Nov. 2017.

G. Fiengo, D. G. Lui, A. Petrillo, S. Santini and M. Tufo. “Distributed Robust PID Control for Leader Tracking in Uncertain Connected Ground Vehicles with V2V Communication Delay” IEEE/ASME Transactions on Mechatronics, vol. 24, no. 3, pp. 1153-1165, June 2019.

D. Yaylali, E. Butcher and A. Dabiri. (2019, Jan.). “Fractional PID Consensus Control Protocols for Second-Order Multiagent Systems” AIAA SciTech 2019 Forum, Available: https://doi.org/10.2514/6.2019-0656.

C. Shi and G. Yang. “Robust consensus control for a class of multi-agent systems via distributed PID algorithm and weighted edge dynamics” Applied Mathematics and Computation, vol. 316, pp. 73-88, Jan. 2018.

W. Cao, J. Zhang and W. Ren. “Leader-follower consensus of linear multi-agent systems with unknown external disturbances” Systems & Control Letters, vol. 82, pp. 64-70, Aug. 2015.

W. Ren and R. W. Beard. “Consensus seeking in multiagent systems under dynamically changing interaction topologies” IEEE Transaction on Automatic Control, vol. 50, no. 5, pp. 655-661, May 2005.

F. R. K. Chung and F. C. Graham. Spectral Graph Theory. (No. 92) American Mathematical Society, 1997.

R. A. Horn and C. R. Johnson. Matrix Analysis. Cambridge University Press, 2012.

Slotine, J. E. and W. Li. Applied nonlinear control. Englewood Cliffs, NJ: Prentice hall, 1991.

Levant, A. “Homogeneity approach to high-order sliding mode design” Automatica, vol. 41, pp. 823-830, May 2005.

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Published

2020-04-01

How to Cite

Almalki, A. ., & Kada, B. . (2020). Consensus Tracking for Multiagent Systems Under Bounded Unknown External Disturbances Using Sliding-PID Control. International Journal of Sciences: Basic and Applied Research (IJSBAR), 50(2), 143–153. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/11016

Issue

Vol. 50 No. 2 (2020)

Section

Articles

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