Abstract
A novel co-design scheme of hybrid scheduling strategy, adaptive logarithmic quantizer and dynamic robust H-infinity output feedback controller for a class of networked control system (NCS)with communication constraints and time delay is proposed. The hybrid scheduling scheme integrates dead zone scheduling and Try Once Discard (TOD) scheduling so as to get the stronger adaptability and flexibility than the single scheduling. In this scheme, dead zone scheduling which updates the threshold according to mode-dependent control strategy is used for single node of NCS to reduce the network bandwidth utilization while TOD scheduling is used for the whole node of NCS in order to meet the requirements of communication constraints and guarantee the overall system performance.We develop the integrated design for the hybrid scheduling strategy, adaptive quantizer and dynamic robust output feedback controller to maintain asymptotic stability of the closed-loop NCS by using the multiple-Lyapunov function and switched system theory. The proposed method can improve the the quality of service (QoS) meanwhile ensure the quality of control (QoC) of overall systems, which make a better trade-off between network utilization and control performance. An simulation example demonstrates the efficiency of the proposed method.
Similar content being viewed by others
References
B. Xue, N. Li, S. Li, and Q. Zhu, “Moving horizon scheduling for networked control systems with communication constraints,” IEEE Transactions on Industrial Electronics, vol. 60, no. 8, pp. 3318–3327, 2013. [click]
S. L. Dai, H. Lin, and S. S. Ge, “Scheduling-and-control codesign for a collection of networked control systems with uncertain delays,” IEEE Transactions on Control Systems Technology, vol. 18, no. 1, pp. 66–78, 2010. [click]
M. Ljesnjanin, D. E. Quevedo, and D. Nesc, “Packetized MPC with dynamic scheduling constraints and bounded packet dropouts,” Automatica, vol. 50, no. 3, pp. 784–797, 2014. [click]
X. Bu, F. Yu, Z. Hou, and F. Wang, “Iterative learning control for a class of nonlinear systems with random packet losses,” Nonlinear Analysis: Real World Applications, vol. 14, no. 1, pp. 567–580, 2013.
X. Bu, Z. Hou, F. Yu, and F. Wang, “H ∞ iterative learning controller design for a class of discrete-time systems with data dropouts,” International Journal of Systems Science, vol. 45, no. 9, pp. 1902–1912, 2014. [click]
X. Chen, A. Azim, X. Liu, S. Fischmeister, and J. Ma, “DTS: dynamic TDMA scheduling for networked control systems,” Journal of Systems Architecture, vol. 60, no. 2, pp. 194–205, 2014. [click]
W. P. M. H. Heemels and M. C. F. Donkers, “Model-based periodic event-triggered control for linear systems,” Automatica, vol. 49, no. 3, pp.698–711, 2013.
X. C. Jia, X. B. Chi, Q. L. Han, and N. N. Zheng, “Eventtriggered fuzzy H ∞ control for a class of nonlinear networked control systems using the deviation bounds of asynchronous normalized membership functions,” Information Sciences, vol. 259, no. 1, pp. 100–117, 2014. [click]
H. Yan, S. Yan, H. Zhang, and H. Shi, “L2 control design of event triggered networked control systems with quantizations,” Journal of the Franklin Institute, vol. 352, no. 1, pp. 332–345, 2015.
S. Wen, G. Guo, and W. S. Wong, "Hybrid event-timetriggered networked control systems: Scheduling-eventcontrol co-design," Information Sciences, vol. 305, no. 1, pp. 269–284, 2015.
N. Elia and S. K. Mitter, “Stabilization of linear systems with limited information,” IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1384–1400, 2001. [click]
M. Fu and L. Xie, “The sector bound approach to quantized feedback control,” IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1698–1710, 2005.
H. Gao and T. Chen, “A new approach to quantized feedback control systems,” Automatica, vol. 44, no. 2, pp. 534–542, 2008. [click]
B. Zhou, G. R. Duan, and J. Lam, “On the absolute stability approach to quantized feedback control,” Automatica, vol. 46, no. 2, pp. 337–346, 2010. [click]
M. Fu and L. Xie, “Finite-level quantized feedback control for linear systems,” IEEE Transactions on Automatic Control, vol. 54, no. 5, pp. 1165–1170, 2009. [click]
Y. Xia, J. Yan, P. Shi, and M. Fu, “Stability analysis of discrete-time systems with quantized feedback and measurements,” IEEE Transactions on Industrial Informatics, vol. 9, no. 1, pp. 313–324, 2013. [click]
T. Hayakawa, H. Ishii, and K. Tsumura, “Adaptive quantized control for linear uncertain discrete-time systems,” Automatica, vol. 45, no. 3, pp. 692–700, 2009. [click]
R. W. Brockett and D. Liberzon, “Quantized feedback stabilization of linear systems,” IEEE Transactions on Automatic Control, vol. 45, no. 7, pp. 1279–1289, 2000. [click]
Y. Sharon and D. Liberzon, “Input to state stabilizing controller for systems with coarse quantization,” IEEE Transactions on Automatic Control, vol. 57, no. 4, pp. 830–843, 2012.
Y. Niu and D. W. C. Ho, “Control strategy with adaptive quantizer’s parameters under digital communication channels,” Automatica, vol. 50, no. 10, pp. 2665–2671, 2014. [click]
X. Kang and H. Ishii, “Coarsest quantization for networked control of uncertain linear systems,” Automatica, vol. 51, no. 27, pp. 1–8, 2015. [click]
D. Nesic and D. Liberzon, “A unified framework for design and analysis of networked and quantized control systems,” IEEE Transactions on Automatic Control, vol. 54, no. 4, pp. 732–747, 2009. [click]
S. J. L. M. V. Loon, M. C. F. Donkers, N. V. D. Wouw, and W. P. M. H. Heemels, “Stability analysis of networked and quantized linear control systems,” Nonlinear Analysis: Hybrid Systems, vol. 10, no. 1, pp. 111–125, 2013. [click]
H. Lu and C. Zhou, “Dual scheduling and quantised control for networked control systems with communication constraints,” International Journal of Systems Science, vol. 47, no. 10, pp.2370–2381,2016. [click]
M. Liu, J. You, and X. Ma, “H ∞filtering for sampled-data stochastic systems with limited capacity channel,” Signal Processing, vol. 91, no. 2, pp. 1826–1837, 2011.
W. Zhang, Y. Tang, X. Wu, and J. Fang, “Synchronization of nonlinear dynamical networks with heterogeneous impulses,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 61, no. 4, pp. 1220–1228, 2014
W. Zhang, Y. Tang, Q. Miao, and W. Du, “Exponential synchronization of coupled switched neural networks with mode-dependent impulsive effects,” IEEE Transactions on Neural Networks and Learning Systems, vol. 24, no. 8, pp. 1316–1326, 2013. [click]
C. Zhou, M. Du, Q. Chen, “Co-design of dynamic scheduling and H-infinity control for networked control systems,” Applied Mathematics & Computation, vol. 218, no.21, pp. 10767–10775, 2012. [click]
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Yang Tang under the direction of Editor PooGyeon Park. This paper was supported by National Natural Science Foundation of China under Grant No. 61673219, Tianjin Major Projects of Science and Technology under Grant No. 15ZXZNGX00250, Jiangsu Six Talents Peaks Project of Province under Grant No. XNYQC-CXTD-001.
Tengli Wang is an M.S. student of Nanjing University of Science and Technology, China. She received the B.S. degree from Jinling Institute of Technology. Her research interests include consensus and formation control of networked multiagent systems.
Chuan Zhou received his Ph.D. from Nanjing University of Aeronautics and Astronautics, China in 1999. Since 2001, he has been with Nanjing University of Science and Technology and he is a Professor in the school of Automation. His research interests include network control system, intelligent control and multi-agent systems.
Hui Lu received his M.Sc. degree from Nanjing University of Science and Technology, China. His research interests include consensus and formation control of networked multi-agent systems.
Junda He received his M.Sc. degree from Nanjing University of Science and Technology, China. His research interests include consensus and formation control of networked multi-agent systems.
Jian Guo received his Ph.D. from Nanjing University of Science and Technology, China in 2002. He is a Professor in the school of Automation. His research interests include robotic system and high performance servo system.
Rights and permissions
About this article
Cite this article
Wang, T., Zhou, C., Lu, H. et al. Hybrid Scheduling and Quantized Output Feedback Control for Networked Control Systems. Int. J. Control Autom. Syst. 16, 197–206 (2018). https://doi.org/10.1007/s12555-016-0479-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-016-0479-7