Design of Observer-Based H∞ Controller for Robust Stabilization of Networked Systems Using Switched Lyapunov Functions

Document Type : Research Article

Authors

1 SYSTEMS Research Group, Ghent University, Ghent, Belgium

2 Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran

Abstract

In this paper, a H. controller is synthesized for networked systems subject to random transmission delays with known upper bound and different occurrence probabilities in both feedback (sensor to controller) and forward (controller to actuator) channels. A remote observer is employed to improve the performance of the system by computing non-delayed estimates of the states. The closed-loop system is described in the framework of switched systems; then, a switched Lyapunov function is utilized to obtain conditions to determine the gains of the observer and the controller such that robust asymptotic stability of the system is assured. Two illustrative examples are presented to demonstrate the real-world applicability and superiority of the proposed approach compared to rival ones in the literatue.

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References

[1] L. Zhang, H. Gao, O. Kaynak, Network-induced constraints in networked control systems-a survey, IEEE transactions on industrial informatics, 9(1) (2013) 403- 416.
[2] J.P. Hespanha, P. Naghshtabrizi, Y. Xu, A survey of recent results in networked control systems, Proceedings of the IEEE, 95(1) (2007) 138-162.
[3] Y. Tipsuwan, M.-Y. Chow, Control methodologies in networked control systems, Control engineering practice, 11(10) (2003) 1099-1111.
[4] A. Farnam, R.M. Esfanjani, Improved stabilization method for networked control systems with variable transmission delays and packet dropout, ISA transactions, 53(6) (2014) 1746-1753.
[5] S. Kim, P. Park, C. Jeong, Robust H∞ stabilisation of networked control systems with packet analyser, IET control theory & applications, 4(9) (2010) 1828-1837.
[6] F. Yang, Z. Wang, Y. Hung, M. Gani, H∞ control for networked systems with random communication delays, IEEE Transactions on Automatic Control, 51(3) (2006) 511-518.
[7] P. Seiler, R. Sengupta, An H∞ approach to networked control, IEEE Transactions on Automatic Control, 50(3) (2005) 356-364.
[8] H. Li, Z. Sun, H. Liu, M.Y. Chow, Predictive observer‐based control for networked control systems with network‐induced delay and packet dropout, Asian journal of control, 10(6) (2008) 638-650.
[9] H. Liu, Y. Shen, X. Zhao, Delay-dependent observer-based H∞ finite-time control for switched systems with time-varying delay, Nonlinear Analysis: Hybrid Systems, 6(3) (2012) 885-898.
[10] G.-P. Liu, Y. Xia, J. Chen, D. Rees, W. Hu, Networked predictive control of systems with random network delays in both forward and feedback channels, IEEE Transactions on Industrial Electronics, 54(3) (2007) 1282-1297.
[11] G.-P. Liu, Y. Xia, D. Rees, W. Hu, Design and stability criteria of networked predictive control systems with random network delay in the feedback channel, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews), 37(2) (2007) 173-184.
[12] R. Wang, B. Wang, G.-P. Liu, W. Wang, D. Rees, H∞ controller design for networked predictive control systems based on the average dwell-time approach, IEEE Transactions on Circuits and Systems II: Express Briefs, 57(4) (2010) 310-314.
[13] R. Wang, G.-P. Liu, W. Wang, D. Rees, Y.-B. Zhao, H∞ Control for Networked Predictive Control Systems Based on the Switched Lyapunov Function Method, IEEE transactions on industrial electronics, 57(10) (2010) 3565-3571.
[14] H. Gao, X. Meng, T. Chen, Stabilization of networked control systems with a new delay characterization, IEEE Transactions on Automatic Control, 53(9) (2008) 2142- 2148.
[15] C. Peng, D. Yue, E. Tian, Z. Gu, A delay distribution based stability analysis and synthesis approach for networked control systems, Journal of the Franklin Institute, 346(4) (2009) 349-365.
[16] P. Gahinet, A. Nemirovski, A. Laub, M. Chilali, LMI Control Toolbox User’s Guide. Natick, The MathWorks, Inc. P. Gahinet, (1995).
AUT Journal of Modeling and Simulation
Volume 50, Issue 1
June 2018
Pages 23-30

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