Abstract
This paper establishes an approach to co-design of an output feedback controller and a channel-access managing policy for networked control systems (NCSs) where channel limitations and network-induced delays are present at both sides of the system. In particular, communication sequences and controller co-design conditions for linear NCSs with bounded disturbance are derived in the framework of hybrid control and given in terms of difference linear matrix inequality (DLMI) and difference matrix equation (DME). The results are extended to NCSs with Gaussian noises and random delays that are independent identically distributed (i.i.d.) and Markovian, with corresponding results given in the sense of stochastic stability. Numerical examples have shown the usefulness of the proposed methods.
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M. S. Branicky and S. M. Phillips, et al., “Scheduling and feedback co-design for networked control systems,” Proc. 40th IEEE CDC, pp. 1211–1217, 2002.
G. Guo, “Integrated communication and control systems with occasional information feedback,” Cybernetics and Systems, vol. 39, no. 8, pp. 843–873, August 2008.
G. Guo and H. Jin, “A switching system approach to actuator assignment with limited channels,” International Journal of Robust and Nonlinear Control, vol. 20, no. 12, pp. 1407–1426, August 2010.
G. Guo and X. Liu, “Observability and controllability of systems with limited data rate,” International Journal of Systems Sciences, vol. 40, no. 4, pp. 327–334, April 2009.
D. Hristu-Varsakelis, “Feedback control systems as users of a shared network: communication sequences that guarantee stability,” Proc. IEEE CDC, pp. 3631–3636, 2001.
D. Hristu-Varsakelis, “Stabilization of networked control systems with access constraints and delays,” Proc. IEEE CDC, pp. 1123–1128, 2006.
D. Hristu-Varsakelis, “Short-period communication and the role of zero-order holding in networked control systems,” IEEE Trans. on Automatic Control, vol. 53, no. 5, pp. 1285–1290, May 2008.
D. Hristu-Varsakelis and L. Zhang, “LQG control of networked control systems with access constraints and delays,” International Journal of Control, vol. 81, no. 8, pp. 1266–1280, August 2008.
K. J. Kushner, Stochastic Stability and Control, Academic, New York, 1967.
H. Rehbinder and M. Sanfridson, “Scheduling of a limited communication channel for optimal control,” Automatica, vol. 40, no. 3, pp. 491–500, March 2004.
G. Walsh and H. Ye, “Scheduling of networked control systems,” IEEE Control Systems Magazine, vol. 21, no. 1, pp. 57–65, January 2001.
L. Zhang, Access Scheduling and Controller Design in Networked Control Systems, Ph.D. Dissertations, University of Maryland, USA, 2005.
L. Zhang and D. Hristu-Varsakelis, “Communication and control co-design for networked control systems,” Automatica, vol. 42, no. 6, pp. 953–958, June 2006.
L.-Q. Zhang, Y. Shi, and T-W. Chen, et al., “A new method for stabilization of networked control systems with random delays,” IEEE Trans. on Automatic Control, vol. 50, no. 8, pp. 1177–1181, August 2005.
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Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Young Il Lee. This work was supported by Natural Science Foundation of China under grant 60974013 and Fok Ying Tong Education Foundation under grant 111066. This work is supported by “Fundamental Research Funds for the Central Universities under projects 2009JC11 and 2009QN120”.
Ge Guo received his B.S. and Ph.D. degrees in Control Theory and Engineering from Northeastern University, respectively in 1994 and 1998. Then he joined Lanzhou University of Technology and served as dean of the Department of Electric Engineering. Since May 2005, he has been a professor in Dalian Maritime University. His research interests include networked control systems, vehicle and mobile robot control.
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Guo, G. Feedback control with scheduled communication sequences and random delays. Int. J. Control Autom. Syst. 8, 1342–1348 (2010). https://doi.org/10.1007/s12555-010-0621-x
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DOI: https://doi.org/10.1007/s12555-010-0621-x