Globally Stable Wireless Data Flow Control

Packet data flow control from internet nodes to wireless transmission nodes will become increasingly important in 5G wireless systems. One reason is the new requirement to maintain and guarantee a maximum round-trip loop delay for high-bandwidth feedback control applications. Another driver is the emerging multipoint mobile broadband internet access, where data starvation needs to be avoided in the transmit queue buffers of the wireless transmission nodes. Moreover, robust global stability is a requirement, since an only locally stable data flow controller would have a nonzero likelihood to malfunction algorithmically. The resulting networked control problem is further complicated by an uncertain internet backhaul loop delay, in combination with a one-directional data flow that introduces saturation in the feedback loop. The paper therefore contributes with a proof of global robust stability for a nonlinear networked window-based packet flow control algorithm. The performance and stability of the controller are assessed with simulation, which shows that the algorithm performs as required.

[1]  Chung-Yao Kao,et al.  Stability analysis of systems with uncertain time-varying delays , 2007, Autom..

[2]  Graham C. Goodwin,et al.  A moving horizon approach to Networked Control system design , 2004, IEEE Transactions on Automatic Control.

[3]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[4]  Bore-Kuen Lee,et al.  Power control of cellular radio systems via robust Smith prediction filter , 2004 .

[5]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[6]  Torbjörn Wigren.  Wireless feedback and feedforward data flow control subject to rate saturation and uncertain delay , 2016 .

[7]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[8]  Graham C. Goodwin,et al.  Adaptive filtering prediction and control , 1984 .

[9]  Erik Dahlman,et al.  3G Evolution: HSPA and LTE for Mobile Broadband , 2007 .

[10]  Yu Qian,et al.  Non-Line-of-Sight 2.6GHz Relay Backhaul Channel Performance: Field Test and Analysis , 2012, 2012 IEEE Vehicular Technology Conference (VTC Fall).

[11]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1997, IEEE Trans. Autom. Control..

[12]  Graham C. Goodwin,et al.  Model Predictive Zooming Power Control in Future Cellular Systems under Coarse Quantization , 2012, 2012 IEEE Vehicular Technology Conference (VTC Fall).

[13]  Torbjörn Wigren.  Low Frequency Sensitivity Function Constraints for Nonlinear ź2-stable Networked Control , 2016 .

[14]  John Baillieul,et al.  Feedback Designs for Controlling Device Arrays with Communication Channel Bandwidth Constraints , 1999 .

[15]  Torbjörn Wigren,et al.  Robust $\mathcal {L}_{2}$ Stable Networked Control of Wireless Packet Queues in Delayed Internet Connections , 2016, IEEE Transactions on Control Systems Technology.

[16]  R. Evans,et al.  Stabilization with data-rate-limited feedback: tightest attainable bounds , 2000 .

[17]  Theodore S. Rappaport,et al.  Millimeter Wave Wireless Communications , 2014 .

[18]  Torbjörn Wigren,et al.  A disturbance rejection and data rate trade-off in networked data flow control , 2019, Eur. J. Control.

[19]  Graham C. Goodwin,et al.  A fundamental control limitation for linear positive systems with application to Type 1 diabetes treatment , 2015, Autom..

[20]  Torbjörn Wigren,et al.  A tradeoff between data rate and regulation performance in networked data flow control , 2016 .

[21]  Lei Ying,et al.  Communication Networks - An Optimization, Control, and Stochastic Networks Perspective , 2014 .

[22]  Graham C. Goodwin,et al.  Constrained Control and Estimation: an Optimization Approach , 2004, IEEE Transactions on Automatic Control.

[23]  Edward Smith,et al.  Control systems and the internet of things — Shrinking the factory , 2017, 2017 56th FITCE Congress.

[24]  Jan-Erik Berg,et al.  Implication of RF EMF Exposure Limitations on 5G Data Rates above 6 GHz , 2015, 2015 IEEE 82nd Vehicular Technology Conference (VTC2015-Fall).

[25]  Panos J. Antsaklis,et al.  Control and Communication Challenges in Networked Real-Time Systems , 2007, Proceedings of the IEEE.

[26]  Torbjörn Wigren.  Low-frequency limitations in saturated and delayed networked control , 2015, 2015 IEEE Conference on Control Applications (CCA).

[27]  John T. Wen,et al.  A unifying passivity framework for network flow control , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[28]  Torbjörn Wigren,et al.  Networked Delay Control for 5G Wireless Machine-Type Communications Using Multiconnectivity , 2019, IEEE Transactions on Control Systems Technology.