Reconstructibility and Controllability Analysis in Bandwidth Limited Industrial Networked Control Systems

Document Type : Original Article


Department of Electrical Engineering, Standard Research Institute, ‎Tehran, Iran‎


This paper studies structural properties of bandwidth limited Industrial Networked Control Systems in which the number of simultaneous network accesses is limited. Conventional control theory assumes that the measured output is available as a vector at each time instant and the input vector can be applied simultaneously to the actuator. However, when the system is bandwidth limited, it is not possible to instantly read all of the sensors and nor it is possible to apply the whole input (control) vector to the actuator. As a result, a system which is controllable (reconstructible) for its own, may not preserve this property when the communication medium is bandwidth limited. The communication medium therefore changes the overall system structural properties. This is of utmost importance since existing control and estimation algorithms are based on the assumptions that the whole output vector (input vector) is read from sensors (applied to actuators) instantly. We assume that communication medium is shared among both sensors and actuators. It is shown that controllability and reconstructibility analysis could not be performed independently (as inherently assumed or ignored by previous works in this field). For the special case of equidistant sequences with separate read/write cycles, we prove that controllability and reconstructibility analysis’s can be done independently if a specific procedure is followed. Examples are included to clarify the results.


[1] Panos Antsaklis, and John Baillieul, "Special issue on technology of networked control systems",Proceedings of the IEEE, Vol.95, No.1: 5-8, 2007.‏
[2] Linda Bushnell, "Networked control systems: architecture and stability issues", Encyclopedia of Systems and Control, 2014.
[3] Lixian Zhang, Huijun Gao, and Okyay Kaynak, "Network-induced constraints in networked control systems - a survey", IEEE Transactions on Industrial Informatics, Vo. 9, No.1: 403-416, 2013.‏
[4] Rachana AshokGupta, and Mo-Yuen Chow, "Networked control system: overview and research trends",IEEE Transactions on Industrial Electronics,Vol. 57, No.7: 2527-2535, 2010.‏
[5] Mohammad Mahdi SharePasand, and Mohsen Montazeri, "Controllability and stabilizability of multi-rate sampled data systems",Systems & Control Letters, Vol. 113, No.1: 27-30, 2018.
[6] Lei Zhang and Dimitrios Hristu-Varsakelis, “Stabilization of Networked Control Systems: designing effective communication sequences”, ISR technical report, 2004.
[7] Dimitrios Hristu-Varsakelis, "Short-period communication and the role of zero-order holding in networked control systems", IEEE Transactions on Automatic Control, Vol.53, No.5: 1285-1290, 2008.‏
[8] Stefano Longo, Guido Herrmann, and Phil Barber, "Controllability, observability in networked control" Robust Control Design,Vol.6, No.1: 438-446,2009.‏
[9] Stefano Longo, et al. Optimal and robust scheduling for networked control systems. CRC Press, 2013.‏
[10] Tatsuo Suzuki, et al. "Controllability and stabilizability of a networked control system with periodic communication constraints", Systems & Control Letters, Vol. 60, No.12: 977-984, 2011.
[11] Mohammad Mahdi Share Pasand, and Mosen Montazeri, "l‐Step Reachability and Observability of Networked Control Systems with Bandwidth Limitations: Feasible Lower Bounds on Communication Periods",Asian Journal of Control, Vol. 19, No.4:1620-1629, 2017.
[12] Mohammad Mahdi Share Pasand, and Mohsen Montazeri, "Structural Properties of Networked Control Systems with Bandwidth Limitations and Delays",Asian Journal of Control, Vol. 19, No.3: 1228-1238, 2017.
[13] Mohammad Mahdi Share Pasand, and Mohsen Montazeri, "Kalman Filtering with Optimally Scheduled Measurements in Bandwidth Limited Communication Media", ETRI Journal, Vol.39, No.1: 13-20, 2017.
[14] ME Mongi BenGaid, Arben Cela, and Yskandar Hamam, "Optimal integrated control and scheduling of networked control systems with communication constraints: application to a car suspension system",IEEE Transactions on Control Systems Technology, Vol. 14, No.4: 776-787, 2006..
[15] Henrik Rehbinder and Martin Sanfridson, “Scheduling of a limited communication channel for optimal control”, Automatica, Vol. 40, No.3:491-500, 2004.
[16] Mohammad Mahdi SharePasand, and Mohsen Montazeri, "Structural properties, LQG control and scheduling of a networked control system with bandwidth limitations and transmission delays",IEEE/CAA Journal of Automatica Sinica, Vol. 4, No.4:817-829, 2017.
[17] Mohammad MahdiShare Pasand, and Mohsen Montazeri, "Observer design for descriptor networked control systems with unknown and partially known inputs", Journal of Control and Decision, Vol. 5, No.4: 346-362, 2018.
[18] Yue Wu, and Jiuxiang Dong, "Cyber-Physical Attacks against State Estimators Based on a Finite Frequency Approach", IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 51, No.2:864 - 874, 2021.
[19] Erick J. Rodríguez-Seda, "Self-triggered reduced-attention output feedback control for linear networked control systems",IEEE Transactions on Industrial Informatics, Vol. 15, No.1: 348-356, 2019.
[20] Héctor Benítez-Pérezet et al. "Design of Networked Control System",Control Strategies and Co-Design of Networked Control Systems, Springer, 2019: 83-103.