Robust H∞ dynamic output feedback control of networked control systems with congestion control

This paper investigates a robust H∞ dynamic output feedback controller for networked control systems (NCSs) with a simple congestion control scheme. This scheme enables the NCSs design to enjoy the advantages of both time-triggered and event-triggered systems. The proposed scheme compares the current measurement with the last transmitted measurement. If the difference between them is less than a prescribed percentage of the current measurements then no measurement is transmitted to the controller and the controller always uses the last transmitted measurements to calculate the feedback gains. Moreover, this technique is applied to the controller output as well. The stability criteria for the closed-loop system is formulated using the Lyapunov-krasovskii functional approach. The sufficient conditions for the controller are given in terms of solvability of bilinear matrix inequalities (BMIs). These BMIs are converted into quasi-convex linear matrix inequalities (LMIs) which are solved using the cone complementarity linearization algorithm. A simulation example is used to evaluate how effective the simple congestion control scheme is in reducing network bandwidth.

[1]  Holger Zeltwanger,et al.  Time-Triggered Communication on CAN , 2002 .

[2]  James Moyne,et al.  Using deadbands to reduce communication in networked control systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[3]  S. Nguang,et al.  Robust H∞ output feedback control of discrete-time networked systems with adaptive quantizers , 2011, 2011 6th IEEE Conference on Industrial Electronics and Applications.

[4]  P. Shi,et al.  H∞ Output feedback control of fuzzy system models under sampled measurements , 2003 .

[5]  K. Gu.  H∞ control of systems under norm bounded uncertainties in all system matrices , 1994, IEEE Trans. Autom. Control..

[6]  P. Shi,et al.  Robust H1 control design for fuzzy singularly perturbed systems with Markovian jumps: an LMI approach , 2007 .

[7]  Sing Kiong Nguang,et al.  Robust Hinfinity output feedback control of discrete-time networked systems with limited information , 2011, Syst. Control. Lett..

[8]  Xiaofeng Wang,et al.  Event-Triggering in Distributed Networked Control Systems , 2011, IEEE Transactions on Automatic Control.

[9]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..

[10]  Sing Kiong Nguang,et al.  State feedback control of uncertain networked control systems with random time-delays , 2007, 2007 46th IEEE Conference on Decision and Control.

[11]  Daniel E. Quevedo,et al.  Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization , 2011, Syst. Control. Lett..

[12]  K. Åström,et al.  Comparison of Riemann and Lebesgue sampling for first order stochastic systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[13]  Alim P. C. Gonçalves,et al.  Dynamic output feedback H∞ control of discrete-time Markov jump linear systems through Linear Matrix Inequalities , 2008, 2008 47th IEEE Conference on Decision and Control.

[14]  Eiji Konaka.  Stability of networked control system with dynamic quantizer and data‐driven zero‐order hold , 2011 .

[15]  Robert Bosch,et al.  Comparison of Event-Triggered and Time-Triggered Concepts with Regard to Distributed Control Systems , 2004 .

[16]  W. Marsden.  I and J , 2012 .

[17]  A. Hassibi,et al.  Control with random communication delays via a discrete-time jump system approach , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[18]  Tongwen Chen,et al.  Event-based stabilization over networks with transmission delays , 2012 .

[19]  Nathan van de Wouw,et al.  Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance , 2010, IEEE Transactions on Automatic Control.

[20]  T. Führer,et al.  Time Triggered Communication on CAN ( Time Triggered CAN-TTCAN ) , 2000 .

[21]  Akshya Swain,et al.  Robust mode delay-dependent H∞ control of discrete-time systems with random communication delays , 2010 .