Abstract
The problems of identification and stabilization of a class of Hammerstein systems over a wireless network are investigated in this paper. A new approach for the proof of iterative identification is presented first. Then a guaranteed performance controller is designed to stabilize the system. The effectiveness of the proposed approach is demonstrated by numerical examples.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
E. W. Bai, K. Li. Convergence of the iterative algorithm for a general Hammerstein system identification. Automatica, vol. 46, no. 11, pp. 1891–1896, 2010.
M. Boutayeb, H. Rafaralahy, M. Darouach. A robust and recursive identification method for Hammerstein model. In Proceedings of IFAC world congress, IFAC San Francisco, USA, pp. 447–452, 1996.
K. Z. Mao, S. A. Billings. An iterative method for the identification of nonlinear systems using a Hammerstein model. IEEE Transactions on Automatic Control, vol. 11, no. 3, pp. 546–550, 1966.
H. J. Gao, X. Y. Meng, T. W. Chen. Stabilization of networked control systems with a new delay characterization. IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2142–2148, 2008.
L. Q. Zhang, Y. Shi. A new method for stabilization of networked control systems with random delays. IEEE Transactions on Automatic Control, vol. 50, no. 8, pp. 1177–1181, 2005.
F. Farokhi, K. H. Johansson. Stochastic sensor scheduling for networked control systems. IEEE Transactions on Automatic Control, vol. 59, no. 5, pp. 1147–1163, 2014.
D. Huang, S. K. Nguang. State feedback control of uncertain networked control systems with random time delays. IEEE Transactions on Automatic Control, vol. 53, no. 3, pp. 829–834, 2008.
S. W. Yun, Y. J. Choi, PooGyeon Park. H 2 control of continuous-time uncertain linear systems with input quantization and matched disturbances. Automatica, vol. 45, no. 10, pp. 2435–2439, 2009.
R. M. James, M. T. Dawan. The Emergence of industrial control networks for manufacturing control, diagnostics, and safety data. Proceedings of the IEEE, vol. 95, no. 1, pp. 29–47, 2007.
H. J. Gao, T. W. Chen. H8 estimation for uncertain systems with limited communication capacity. IEEE Transactions on Automatic Control, vol. 52, no. 11, pp. 2070–2084, 2007.
J. Hespanha, P. Naghshtabrizi, Y Xu. A survey of recent results in networked control systems. Proceedings of the IEEE, vol. 95, no. 2, pp. 138–162, 2007.
L. A. Montestruque, P. J. Antsaklis. On the model-based control of networked systems. Automatica, vol. 39, no. 5, pp. 1837–1843, 2008.
I. G. Polush, P. X. Liu, C. H. Lung. On the model-based approach to nonlinear networked control systems. Automatica, vol. 44, no. 9, pp. 2409–2414, 2008.
Y. Li, Q. L. Han, M. X. Sun. Optimal guaranteed cost control of linear uncertain systems with input constraints. International Journal of Control, Automation, and Systems, vol. 3, no. 3, pp. 397–402, 2005.
W. H. Deng, K. Li, G. W. Irwin, M. R. Fei. Identification and control of Hammerstein systems via wireless networks. International Journal of Systems Science, vol. 44, no. 9, pp. 1613–1625, 2013.
W. H. Deng, K. Li, M. R. Fei. Identification and output tracking control of Hammerstein systems through wireless networks. Transactions of the Institute of Measurement and Control, vol. 36, no. 1, pp. 3–13, 2014.
G. Irwin, J. Chen, A.W. G. S. McKernan. Co-design of predictive controllers for wireless network control. IET Control Theory and Application, vol. 4, no. 2, pp. 3–13, 2010.
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was supported by Shanghai Engineering Research Center of Green Energy Grid-Connected Technology Center (No. 13DZ2251900), Shanghai Natural Science Foundation (No. 15ZR1417500), Young Teacher Training Program and Industry- Study-Research Cooperation Project from Shanghai Education Commission (Nos. ZZsdl13008 and CXYsdl14012), and Science and Technology Commission of Shanghai Municipality (No. 11jc1404000).
Recommended by Guest Editor Yang Song
Wei-Hua Deng received the B. Sc. and M. Sc. degrees from the Shanxi University, China in 2003 and 2006, respectively, and the Ph. D. degree from Shanghai University, China in 2012. Currently, he is an associate professor in College of Electrical Engineering at Shanghai University of Electric Power, Shanghai, China.
His research interests include networked control, microgrid control, intelligent control and system identification.
ORCID iD: 0000-00001-6200-884X
Kang Li received the B. Sc. degree from Xiangtan University, China in 1989, the M. Sc. degree from Harbin Institute of Technology, China in 1992, and the Ph.D. degree from Shanghai Jiao Tong University, China in 1995. He is currently a professor in intelligent systems and control at Queen’s University Belfast. He has produced over 150 research papers and co-edited seven conference proceedings in his field. He is a chartered engineer, a member of the IEEE and the InstMC and the current secretary of the IEEE UK and Republic of Ireland Section. He has published about 100 refereed journal and conference papers.
His research interests include advanced algorithms for training and construction of neural networks, fuzzy systems and support vector machines, as well as advanced evolutionary algorithms, with applications to non-linear system modelling and control and micro-array data analysis.
Jing Deng received the B. Sc. degree from National University of Defence Technology, China in 2005, the M. Sc. degree from the Shanghai University, China in 2007, and the Ph.D. degree from the Intelligent Systems and Control (ISAC) Group at Queens University Belfast, UK in 2011. He is currently a research fellow at Energy, Power, and Intelligent Control Cluster with the School of Electronics, Electrical Engineering and Computer Science, Queen’s University Belfast, UK.
His research interests include system modelling, pattern recognition and fault detection, and fuzzy control with applications to polymer processing, bi-directional electric vehicle charging, and waste energy recovering.
Rights and permissions
About this article
Cite this article
Deng, WH., Li, K. & Deng, J. Identification and guaranteed performance control of Hammerstein systems over wireless channels. Int. J. Autom. Comput. 13, 125–132 (2016). https://doi.org/10.1007/s11633-016-0951-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11633-016-0951-0