August & September  2019, 12(4&5): 727-734. doi: 10.3934/dcdss.2019047

Design of one type of linear network prediction controller for multi-agent system

School of Information Engineering, Wuyi University, Guangdong, Jiangmen 529020, China

* Corresponding author: Hong Man

Received  June 2017 Revised  October 2017 Published  November 2018

In this paper, to solve network delay and network tracking control problems in multi-agent system communication, a design method of network prediction controller was introduced based on state difference estimation and output tracking error. This design method not only effectively compensates for influences of network delay on the system but also ensures stability of the closed-loop system and realizes the same tracking performance among multi-agents. The effectiveness of the proposed method was proven by simulation experiment.The key innovation in the paper is that the influence of network delay on the system was actively compensated and a network prediction tracking control mechanism was proposed to guarantee the stability of the closed-loop system.The proposed method achieved the same tracking with the local tracking control system under certain conditions.

Citation: Hong Man, Yibin Yu, Yuebang He, Hui Huang. Design of one type of linear network prediction controller for multi-agent system. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 727-734. doi: 10.3934/dcdss.2019047
References:
[1]

H. Gao and T. Chen, Network-based $H_{∞ } $ output tracking control, IEEE Transactions on Automatic Control, 53 (2008), 655-667.  doi: 10.1109/TAC.2008.919850.  Google Scholar

[2]

Y. Guo, Q. Zhang and D. Gong, et al., Robust fault-tolerant control of networked control systems with time-varying delays, Control and Decision, 23 (2008), 689-692, 696.  Google Scholar

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W. P. M. H. Heemels, R. Merry and T. Oomen, Alternative frequency-domain stability criteria for discrete-time networked systems with multiple delays, The 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, Annecy, France: IFAC, (2010), 73-78. Google Scholar

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P. Li and J. Lam, Decentralized control of compartmental networks with $H_{∞ } $ tracking performance, IEEE Transactions on Industrial Electronics, 60 (2013), 546-553.   Google Scholar

[6]

D. Liberzon, Switching in Systems and Control, Boston, MA: Birkhauser, 2003. doi: 10.1007/978-1-4612-0017-8.  Google Scholar

[7]

G. P. Liu, J. X. Mu and D. Rees, et al., Design and stability analysis of networked control systems with random communication time delay using the modified MPC, International Journal of Control, 79 (2006), 288-297. doi: 10.1080/00207170500533288.  Google Scholar

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L. Lu, S. Zhu and J. Meng, et al., Predictive control applied queuing strategy in networked control systems, The 1st IEEE Conference on Industrial Electronics and Applications, Singapore: IEEE, (2006), 73-78. Google Scholar

[9]

D. Ma and J. Zhao, Modeling and stability analysis based on hybrid system technology for networked control systems, Journal of Nort Heastern University(Nat Ural Science), 26 (2005), 817-820.   Google Scholar

[10]

B. TangG. P. Liu and W. H. Gui, Improvement of state feedback controller design for networked control systems, IEEE Transactions on Circuits and Systems Ⅱ: Express Briefs, 55 (2008), 464-468.   Google Scholar

[11]

Y. L. Wang and G. H. Yang, Robust $H_{∞ } $ model reference tracking control for networked control systems with communication constraints, International Journal of Control, Automation and Systems, 7 (2009), 992-1000.   Google Scholar

[12]

H. ZhangY. Shi and M. Liu, $H_{∞ } $ step tracking control for networked discrete-time nonlinear systems with integral and predictive actions, IEEE Transactions on Industrial Electronics, 9 (2013), 337-345.   Google Scholar

[13]

H. ZhaoM. Wu and G. Liu, A controller design method for networked control systems with time-varying delays, Information and Control, 35 (2006), 325-328.   Google Scholar

show all references

References:
[1]

H. Gao and T. Chen, Network-based $H_{∞ } $ output tracking control, IEEE Transactions on Automatic Control, 53 (2008), 655-667.  doi: 10.1109/TAC.2008.919850.  Google Scholar

[2]

Y. Guo, Q. Zhang and D. Gong, et al., Robust fault-tolerant control of networked control systems with time-varying delays, Control and Decision, 23 (2008), 689-692, 696.  Google Scholar

[3]

W. P. M. H. Heemels, R. Merry and T. Oomen, Alternative frequency-domain stability criteria for discrete-time networked systems with multiple delays, The 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems, Annecy, France: IFAC, (2010), 73-78. Google Scholar

[4]

S. H. Hong, Scheduling algorithm of data sampling times in the integrated communication and control systems, IEEE Transactions on Control Systems Technology, 3 (1995), 225-230.   Google Scholar

[5]

P. Li and J. Lam, Decentralized control of compartmental networks with $H_{∞ } $ tracking performance, IEEE Transactions on Industrial Electronics, 60 (2013), 546-553.   Google Scholar

[6]

D. Liberzon, Switching in Systems and Control, Boston, MA: Birkhauser, 2003. doi: 10.1007/978-1-4612-0017-8.  Google Scholar

[7]

G. P. Liu, J. X. Mu and D. Rees, et al., Design and stability analysis of networked control systems with random communication time delay using the modified MPC, International Journal of Control, 79 (2006), 288-297. doi: 10.1080/00207170500533288.  Google Scholar

[8]

L. Lu, S. Zhu and J. Meng, et al., Predictive control applied queuing strategy in networked control systems, The 1st IEEE Conference on Industrial Electronics and Applications, Singapore: IEEE, (2006), 73-78. Google Scholar

[9]

D. Ma and J. Zhao, Modeling and stability analysis based on hybrid system technology for networked control systems, Journal of Nort Heastern University(Nat Ural Science), 26 (2005), 817-820.   Google Scholar

[10]

B. TangG. P. Liu and W. H. Gui, Improvement of state feedback controller design for networked control systems, IEEE Transactions on Circuits and Systems Ⅱ: Express Briefs, 55 (2008), 464-468.   Google Scholar

[11]

Y. L. Wang and G. H. Yang, Robust $H_{∞ } $ model reference tracking control for networked control systems with communication constraints, International Journal of Control, Automation and Systems, 7 (2009), 992-1000.   Google Scholar

[12]

H. ZhangY. Shi and M. Liu, $H_{∞ } $ step tracking control for networked discrete-time nonlinear systems with integral and predictive actions, IEEE Transactions on Industrial Electronics, 9 (2013), 337-345.   Google Scholar

[13]

H. ZhaoM. Wu and G. Liu, A controller design method for networked control systems with time-varying delays, Information and Control, 35 (2006), 325-328.   Google Scholar

Figure 1.  Structure of the Network Prediction Tracking Control System
Figure 2.  Network tracking control without prediction tracking mechanism
Figure 3.  Network prediction tracking control
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