Abstract
This paper discusses H-infinity state feedback control for a networked control system with time-varying delays. Based on the free-weighing matrix method, a delay-dependent stability criterion satisfying a prescribed H-infinity norm bound is presented for an NCS with unknown, time-varying and bounded delays. And then, the criterion is transformed into sufficient conditions based on linear matrix inequalities for H-infinity control. The conditions thus obtained are also used to design an H-infinity state feedback controller. This design method is further extended to solve the design problem of robust H-infinity state feedback control. A numerical example demonstrates the validity of die method.
Article PDF
Avoid common mistakes on your manuscript.
References
J. Nilsson. Real-time Control Systems with Delays [D]. Sweden: Lund Institute of Technology, 1998.
G. C. Walsh, H. Ye. Scheduling of netwoiked control systems [J]. IEEE Control Systems Magazine, 2001,21(1):57–65.
F. L. Lian. Analysis, Design, Modelling, and Control of Networked Control Systems [D]. USA: University of Michigan, 2001.
W. Zhang, M. S. Btanicky, S. M. Phillips. Stability of networked control system [J]. IEEE Control System Magazine, 2001,21(1): 84–99.
R. Asok, H. Yoram. Integrated communication and control systems: Part II-Design consideration [J]. ASME J. of Dynamic Systems, Measurement, and Control, 1988,110(4): 374–381.
R. Krtolica, Ü. Özgiiner, H. G. Chan, et al. Stability of linear feedback systems with random communication delays [J]. Int. J. Control, 1994, 590:925–953.
J. P. Beauvais, A. -M. Deplanche. Heuristics for scheduling periodic complex real-time tasks in a distributed system [C] //Proc. of the 21st Annual Conf. the IEEE Industrial Electronics Society (IECON’95). Orlando, Florida, USA, 1995:55–60.
H. S. Park, Y. H. Kim, D. S. Kim, et al. A scheduling method for network-based control systems [J]. IEEE Trans, on- Control System Technology, 2002,10(3):318–330.
D. S. Kim, Y. S. Lee, W. H. Kwon, et al. Maximum allowable delay bounds of networked control systems [J]. Control Engineering Practice, 2003, 11(11): 1301–1313.
P. Jiang, X. Jiang, C. Li, et al. Robust ∞ control for the networked control systems based on LMIs [J]. Control and Decision, 2004, 19(1):17–21.
M. Wu, Y. He, J. She. Delay-dependent criteria for the robust stability of systems with time-varying delays [J]. J. Control Theory and Applications, 2003,1(1):97–100.
Y. He, M. Wu, J. She, et al. Delay-dependent robust stability criteria for uncertain neural systems with mixed delays [J]. Systems & Control Letters, 2004,51(1):57–65.
L. Xie. Output feedback ∞ control of systems with parameter uncertainty [J]. Int. J. Control, 1996,63(4):741–750.
Author information
Authors and Affiliations
Additional information
This work was supported in part by the National Natural Science Foundation of China (No. 60425310), and by the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of the Ministry of Education, P. R. China (TRAPOYT).
Hong ZHAO received the B.S. degree in engineering from Shanghai Jiaotong University, Shanghai in 1990 and the M.S. degree in engineering from Central South University, Changsha, in 1997. Currently she is a Ph.D. student in the School of Information Science and Engineering at Central South University. Her areas of research include networked control systems and process control of industrial systems.
Min WU was born in 1963. He received the B. S. and M. S. degrees in engineering from Central South University, Changsha, China in 1983 and 1986, respectively. He received the Ph. D. degree in engineering from Tokyo Institute of Technology, Tokyo, Japan in 1999. Now he is a professor of Central South University. His current research interest is process control, robust control and intelligent control.
Guoping LIU Prof Guoping Liu is a chair of control engineering in the University of Glamorgan. He received his B. Eng and M. Eng degrees in electrical and electronic engineering from the Central South University in China in 1982 and 1985, respectively, and his Ph. D degree in control engineering from UMIST (now the University of Manchester) in the UK in 1992. He did the postdoctoral research in the Department of Electronics at the University of York in 1992-1993. He worked as a research fellow in the Department of Automatic Control and Systems Engineering at the University of Sheffield in 1994. During 1996-2000, he was a senior engineer in GEC-Alsthom and ALSTOM, and a principal engineer and a project leader in ABB ALSTOM Power. He was a senior lecturer in the University of Nottingham in 2000-2003. He has been a professor in the University of Glamorgan since 2004, a guest professor of Peking University since 2003, a visiting professor of the Institute of Automation, Chinese Academy of Sciences since 2000, and a professor of the Central South University since 1994. He is an editor-in-chief of the International Journal of Automation and Control and a senior IEEE member.
Prof Liu was awarded the Alexander von Humboldt Research Fellowship in 1992. He received the best paper prize for applications at the UKACC International Conference on Control in 1998. His paper was shortlisted for the best application prize at the 14th IFAC World Congress in 1999. He has worked on more than 40 academic research and industrial technology projects. He has more than 240 publications on control systems. He authored or coauthored 6 books. He developed an eigenstructure assignment toolbox for control system design, which has been sold to many universities and companies worldwide. His main research areas include networked control systems, computer control of industrial systems, nonlinear system identification and control, and multiobjective optimisation and control.
Jillhua SHE received a B.S. in engineering from Central South University, Changsha, China, in 1983, and an M.S. in 1990 and a Ph.D. in 1993 in engineering from the Tokyo Institute of Technology, Tokyo, Japan. In 1993, he joined the Department of Mechatronics, School of Engineering, Tokyo University of Technology; ! and in April, 2004 he transferred to the University s School of Bionics, where he is currently an associate professor. He received the control engineering practice paper prize of IFAC in 1999 (jointly with M. Wu and M. Nakano). His current research interests include the application of control theory, repetitive control, expert control, internet-based control and engineering education, and robotics. He is a member of the Society of Instrument and Control Engineers of Japan (SICE), the Institute of Electrical Engineers of Japan (IEEJ) and IEEE.
Rights and permissions
About this article
Cite this article
Zhao, H., Wu, M., Liu, G. et al. H-infinity control for networked control systems (NCS) with time-varying delays. J. Control Theory Appl. 3, 157–162 (2005). https://doi.org/10.1007/s11768-005-0009-2
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11768-005-0009-2