A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 4 Issue 4
Oct.  2017

IEEE/CAA Journal of Automatica Sinica

• JCR Impact Factor: 6.171, Top 11% (SCI Q1)
CiteScore: 11.2, Top 5% (Q1)
Google Scholar h5-index: 51， TOP 8
Turn off MathJax
Article Contents
Mohammad Mahdi Share Pasand and Mohsen Montazeri, "Structural Properties, LQG Control and Scheduling of a Networked Control System with Bandwidth Limitations and Transmission Delays," IEEE/CAA J. Autom. Sinica, vol. 4, no. 4, pp. 817-829, 2017.
 Citation: Mohammad Mahdi Share Pasand and Mohsen Montazeri, "Structural Properties, LQG Control and Scheduling of a Networked Control System with Bandwidth Limitations and Transmission Delays," IEEE/CAA J. Autom. Sinica, vol. 4, no. 4, pp. 817-829, 2017.

# Structural Properties, LQG Control and Scheduling of a Networked Control System with Bandwidth Limitations and Transmission Delays

• The problem of simultaneous LQG control and scheduling of a Networked Control System (NCS) with constant network induced delays at input and output and bandwidth limitations is investigated. Delays are considered at plant as well as controller side. Sufficient conditions for controllability, stabilizability, reconstructibility and detectability of the underlying networked control system are drawn. The proposed conditions extend previous works on structural properties of NCS by capturing both plant and controller side delays together with bandwidth limitations. A framework for computing the optimal LQG controller for the NCS with a fixed scheduling is provided. The proposed modeling approach facilitates use of LQG as well as other control methods for NCSs with delays and bandwidth limitations. In order to optimize performance, a semi-online scheduling procedure is proposed based on an offline look up table. The look up table assigns an optimal schedule with associated optimal LQG controller to initial conditions. The proposed scheme improves previous results by online deployment of schedule and LQG control with stability guarantees and very low computational overhead. A simulation example with communication delays, packet losses and bandwidth limitations in both sensor and actuator sides is included. Static optimal periodic communication sequence, Optimal Pointer Placement (OPP) approach proposed in previous works, a random access scheduling method representing contention based access policies and the proposed method are simulated and compared.

• Recommended by Associate Editor Huijun Gao.
•  [1] Yang, Tai C. "Networked control system: a brief survey." IEE Proceedings Control Theory and Applications 153.4 (2006): 403. [2] Kastner, Wolfgang, et al. "Communication systems for building automation and control." Proceedings of the IEEE 93.6 (2005): 1178-1203. 10.1109/jproc.2005.849726 [3] Gaid, ME Mongi Ben, Arben Cela, and Yskandar Hamam. "Optimal integrated control and scheduling of networked control systems with communication constraints: application to a car suspension system." Control Systems Technology, IEEE Transactions on 14.4 (2006): 776-787. 10.1109/TCST.2006.872504 [4] Antsaklis, Panos, and John Baillieul. "Special issue on technology of networked control systems." Proceedings of the IEEE 95.1 (2007): 5-8. 10.1109/JPROC.2006.887291 [5] Zhang, Lixian, Huijun Gao, and Okyay Kaynak. "Network-induced constraints in networked control systems—a survey." Industrial Informatics, IEEE Transactions on 9.1 (2013): 403-416. 10.1109/TII.2012.2219540 [6] Gupta, Rachana Ashok, and Mo-Yuen Chow. "Networked control system: overview and research trends." Industrial Electronics, IEEE Transactions on 57.7 (2010): 2527-2535. 10.1109/TIE.2009.2035462 [7] Zampieri, Sandro. "Trends in networked control systems." 17th IFAC World Congress. 2008. [8] Zhang, Lei., "Access Scheduling and Controller Design in Networked Control Systems", Ph.D. dissertation, Department of Mechanical Engineering, University of Maryland, College park, MD, (2005). [9] Hristu-Varsakelis, D., and Lei Zhang. "LQG control of networked control systems with access constraints and delays." International Journal of Control 81.8 (2008): 1266-1280. 10.1080/00207170701697742 [10] Ionete, Cosmin, and Arben Çela. "Structural properties and stabilization of NCS with medium access constraints."Decision and Control, 2006 45th IEEE Conference on. IEEE, 2006. 10.1109/CDC.2006.377121 [11] Hristu-Varsakelis, Dimitrios. "Short-period communication and the role of zero-order holding in networked control systems." Automatic Control, IEEE Transactions on 53.5 (2008): 1285-1290. [12] Longo, Stefano, et al. Optimal and robust scheduling for networked control systems. CRC Press, 2013. [13] Hristu-Varsakelis, Dmitris, and Panganamala R. Kumar. "Interrupt-based feedback control over a shared communication medium." Decision and Control, 2002, Proceedings of the 41st IEEE Conference on. Vol. 3. IEEE, 2002. [14] Longo, Stefano, Guido Herrmann, and Phil Barber. "Controllability, observability in networked control." Robust Control Design, 6.1, (2009): 438-446. [15] Suzuki, Tatsuo, et al. "Controllability and stabilizability of a networked control system with periodic communication constraints." Systems & Control Letters 60.12 (2011): 977-984. 10.1016/j.sysconle.2011.08.004 [16] Ionete, Cosmin, et al. "Controllability and observability of linear discrete-time systems with network induced variable delay." Proc. of the 17th World Congress IFAC, Seoul, Korea. 2008. [17] Wu, Ying, et al. "H$\mathrm{\infty}$ output tracking control for uncertain networked control systems via a switched system approach." International Journal of Robust and Nonlinear Control (2015). [18] Liu, Kun, Emilia Fridman, and Laurentiu Hetel. "Networked control systems in the presence of scheduling protocols and communication delays." SIAM Journal on Control and Optimization 53.4 (2015): 1768-1788. 10.1137/140980570 [19] Dai, Shi-Lu, Hai Lin, and Shuzhi Sam Ge. "Scheduling-and-control codesign for a collection of networked control systems with uncertain delays." Control Systems Technology, IEEE Transactions on 18.1 (2010): 66-78. [20] Tan, Cheng, Lin Li, and Huanshui Zhang. "Stabilization of networked control systems with both network-induced delay and packet dropout." Automatica 59 (2015): 194-199. [21] Lin, Hong, et al. "LQG control for networked control systems over packet drop links without packet acknowledgment." Journal of the Franklin Institute 352.11 (2015): 5042-5060. [22] Zhao, Y-B., Guo-Ping Liu, and D. Rees. "Improved predictive control approach to networked control systems." Control Theory & Applications, IET 2.8 (2008): 675-681. [23] Maass, Alejandro I., Francisco J. Vargas, and Eduardo I. Silva. "Optimal control over multiple erasure channels using a data dropout f scheme." Automatica 68 (2016): 155-161. [24] Bushnell, Linda, and Hong Ye. "Networked control systems: architecture and stability issues." Encyclopedia of Systems and Control (2015): 835-842. [25] H. Rehbinder and M. Sanfridson, "Scheduling of a limited communication channel for optimal control", Automatica 40.3, (2004): 491-500. 10.1016/j.automatica.2003.10.022 [26] Zhao, Y-B., G. P. Liu, and D. Rees. "Integrated predictive control and scheduling co-design for networked control systems." Control Theory & Applications, IET 2.1 (2008): 7-15. 10.1049/iet-cta:20070005 [27] Zhou, Chuan, et al. "Co-design of dynamic scheduling and quantized control for networked control systems." Journal of the Franklin Institute 352.10 (2015): 3988-4003. [28] Walsh, Gregory C., and Hong Ye. "Scheduling of networked control systems." Control Systems, IEEE 21.1 (2001): 57-65. [29] Zhang, Xianming, Qing-Long Han, and Xinghuo Yu. "Survey on Recent Advances in Networked Control Systems." (2015). [30] Bittanti, Sergio, Patrizio Colaneri, and Giuseppe De Nicolao. "The difference periodic Ricatti equation for the periodic prediction problem." Automatic Control, IEEE Transactions on 33.8 (1988): 706-712. [31] Taghirad, Hamid D., and E. Esmailzadeh. "Automobile passenger comfort assured through LQG/LQR active suspension." Journal of vibration and control 4.5 (1998): 603-618. http://search.ebscohost.com/login.aspx?direct=true&db=aph&AN=975489&site=ehost-live [32] ElMadany, Mohamed M., and Zuhair S. Abduljabbar. "Linear quadratic Gaussian control of a quarter-car suspension." Vehicle System Dynamics 32.6 (1999): 479-497. 10.1076/vesd.32.6.479.4224 [33] Sun, Weichao, et al. "Active suspension control with frequency band constraints and actuator input delay." IEEE Transactions on Industrial Electronics 59.1 (2012): 530-537. https://www.researchgate.net/publication/252062661_Active_Suspension_Control_With_Frequency_Band_Constraints_and_Actuator_Input_Delay [34] Sun, Weichao, Huijun Gao, and Okyay Kaynak. "Finite frequency $H_{\infty }$ control for vehicle active suspension systems." IEEE Transactions on Control Systems Technology 19.2 (2011): 416-422.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

Figures(13)  / Tables(2)