Throughput analysis for cyber-physical systems under the slotted ALOHA protocol

This paper investigates the effect of network throughput on the stability of a collection of cyber-physical systems (CPSs) which transmit their measurement information via a single communication channel. The slotted ALOHA access protocol is used for scheduling all CPSs, where time is divided into time slots and only one plant can access the channel at any time slot. By formulating the collection of cyber-physical systems into a switch system, we derive the relationship between the throughput and the attenuation rate using the average dwell time technique. Finally, a co-design algorithm is given to compute the controller gains. A numerical example illustrates the effectiveness of the proposed co-design procedure.

[1]  Sekhar Tatikonda,et al.  Control under communication constraints , 2004, IEEE Transactions on Automatic Control.

[2]  A. Goldsmith,et al.  Wireless medium access control in networked control systems , 2004, Proceedings of the 2004 American Control Conference.

[3]  Norman M. Abramson,et al.  Packet switching with satellites , 1973, AFIPS National Computer Conference.

[4]  Dragan Nesic,et al.  A Unified Framework for Design and Analysis of Networked and Quantized Control Systems , 2009, IEEE Transactions on Automatic Control.

[5]  Lothar Thiele,et al.  Adaptive Real-Time Communication for Wireless Cyber-Physical Systems , 2017, ACM Trans. Cyber Phys. Syst..

[6]  Amirthagunaraj Yogarathinam,et al.  Wide-Area Damping Control Using Multiple DFIG-Based Wind Farms Under Stochastic Data Packet Dropouts , 2018, IEEE Transactions on Smart Grid.

[7]  Li Qiu,et al.  Network-Based Robust $\mathscr {H}_{2}/\mathscr {H}_\infty $ Control for Linear Systems With Two-Channel Random Packet Dropouts and Time Delays , 2015, IEEE Transactions on Cybernetics.

[8]  Jun Zhao,et al.  Input-to-State Stability of Switched Nonlinear Systems With Time Delays Under Asynchronous Switching , 2013, IEEE Transactions on Cybernetics.

[9]  Shuzhi Sam Ge,et al.  Scheduling-and-Control Codesign for a Collection of Networked Control Systems With Uncertain Delays , 2010, IEEE Transactions on Control Systems Technology.

[10]  Lei Zhang,et al.  Communication and control co-design for networked control systems , 2006, Autom..

[11]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[12]  F. Allgöwer,et al.  Analysis of Networked Event-Based Control with a Shared Communication Medium : Part II-Slotted ALOHA ⋆ , 2011 .

[13]  Frank Allgöwer,et al.  Analysis of Networked Event-Based Control with a Shared Communication Medium: Part I – Pure ALOHA , 2011 .

[14]  Wen-an Zhang,et al.  Output Feedback Stabilization of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.

[15]  Feng Xia,et al.  Service Differentiated and Adaptive CSMA/CA over IEEE 802.15.4 for Cyber-Physical Systems , 2013, TheScientificWorldJournal.

[16]  Jiming Chen,et al.  An Online Optimization Approach for Control and Communication Codesign in Networked Cyber-Physical Systems , 2013, IEEE Transactions on Industrial Informatics.

[17]  Wenyi Zhang Stabilization of networked control systems over a sharing link using ALOHA , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).