Performance Improvement of Uncertain TCP-Networked Control Systems Using Robust AQM

This paper presents AQM design to improve the performance of networked control systems. An analytical model of the transmission control protocol (TCP) network is considered and a PID-type state feedback controller is developed to regulate the queue length. This leads to keeping network induced delay and its variation to be small enough to improve the overall performance of the NCSs. The model is assumed to possess structured uncertainties due to the stochastic nature of the network. By augmenting the TCP model with the plant equations, the closed loop system is transformed to a state-dependent delay differential equation (SDDDE). Applying the LyapunovKrasovskii method, a sufficient condition for the stability of this class of systems is obtained in terms of linear matrix inequality (LMI). PID controller parameters will be determined by solving these LMIs. Simulation results are presented and it has been shown that maximum allowable bound of time delay will increase in the proposed method. D ow nl oa de d fr om jo c. kn tu .a c. ir at 5 :5 3 + 03 30 o n W ed ne sd ay D ec em be r 5t h 20 18 متسيس دركلمع دوبهب لكتورپ ساسا رب نيعمان هكبش لرتنک یاه TCP مواقم رگلرتنک و فص لوط تيريدم نامزمه یحارط زا هدافتسا اب یلسوت کباب ،یتشهب یديمح یقتدمحم ،ناگدازآ هموصعم 66 Journal of Control, Vol. 8, No. 4, Winter 2015 دلج ،لرتنک هلجم 8 هرامش ، 4 ، ناتسمز 1393

[1]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[2]  Hui Zhang,et al.  Robust Static Output Feedback Control and Remote PID Design for Networked Motor Systems , 2011, IEEE Transactions on Industrial Electronics.

[3]  Panos J. Antsaklis,et al.  Stability of model-based networked control systems with time-varying transmission times , 2004, IEEE Transactions on Automatic Control.

[4]  Chuang Li,et al.  Robust stability conditions for DMC controller with uncertain time delay , 2014 .

[5]  Won-jong Kim,et al.  Markov-chain-based output feedback control for stabilization of networked control systems with random time delays and packet losses , 2012 .

[6]  Shuang-Hua Yang,et al.  The mechanism of adapting RED parameters to TCP traffic , 2009, Comput. Commun..

[7]  Jiang Wu,et al.  An improved delay-dependent stability criterion for linear uncertain systems with multiple time-varying delays , 2014, Int. J. Control.

[8]  Panos J. Antsaklis,et al.  Robust stability and disturbance attenuation analysis of a class of networked control systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[9]  Wen-an Zhang,et al.  Modelling and control of networked control systems with both network-induced delay and packet-dropout , 2008, Autom..

[10]  James Lam,et al.  Stabilization of Networked Control Systems With a Logic ZOH , 2009, IEEE Transactions on Automatic Control.

[11]  Cire Sall,et al.  Design of a robust digital controller for congestion control in Internet , 2011, Simul. Model. Pract. Theory.

[12]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[13]  Babak Tavassoli,et al.  Design of state feedback controller based on state-dependent delay modeling for congestion control in internet , 2013, 2013 American Control Conference.

[14]  Changchun Hua,et al.  A robust H∞ control approach for a class of networked control systems with sampling jitter and packet-dropout , 2014, International Journal of Control, Automation and Systems.

[15]  Babak Tavassoli,et al.  Using AQM for performance improvement of networked control systems , 2015, International Journal of Control, Automation and Systems.

[16]  Sirish L. Shah,et al.  Optimal Hinfinity filtering in networked control systems with multiple packet dropouts , 2008, Syst. Control. Lett..

[17]  Qixin Zhu,et al.  Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003, Autom..

[18]  Long Wang,et al.  Stabilization of Networked Control Systems with Data Packet Dropout and Transmission Delays: Continuous-Time Case , 2005, Eur. J. Control.

[19]  Qing Zhao,et al.  Observer-based networked control with probabilistic interval input delays , 2014 .

[20]  Babak Tavassoli,et al.  Design of proportional-derivative-type state feedback controllers for congestion control of transmission control protocol networks , 2015, Int. J. Syst. Sci..

[21]  Mohammad Haeri,et al.  Implementation of MPC as an AQM controller , 2010, Comput. Commun..

[22]  Fei Liu,et al.  Stabilization of Networked Control Systems With Random Delays , 2011, IEEE Transactions on Industrial Electronics.

[23]  Sammy Chan,et al.  PD-controller: a new active queue management scheme , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[24]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[25]  C. L. Philip Chen,et al.  Adaptive mechanism-based congestion control for networked systems , 2013, Int. J. Syst. Sci..

[26]  Jie Wu,et al.  Robust H∞ state feedback control of networked control systems with congestion control , 2012, ICARCV.

[27]  Seungwan Ryu,et al.  A predictive and robust active queue management for Internet congestion control , 2003, Proceedings of the Eighth IEEE Symposium on Computers and Communications. ISCC 2003.

[28]  A Chamaken,et al.  Joint design of control and communication in wireless networked control systems: A case study , 2010, Proceedings of the 2010 American Control Conference.

[29]  A. Goldsmith,et al.  Wireless network design for distributed control , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[30]  Steven H. Low,et al.  REM: active queue management , 2001, IEEE Network.

[31]  Jun-Juh Yan,et al.  Design of robust active queue management controllers for a class of TCP communication networks , 2007, Inf. Sci..

[32]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[33]  Jingcheng Wang,et al.  Stochastic observer-based guaranteed cost control for networked control systems with packet dropouts , 2008 .

[34]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[35]  George W. Irwin,et al.  A Co-Design Solution for Wireless Feedback Control , 2007, 2007 IEEE International Conference on Networking, Sensing and Control.

[36]  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.

[37]  Roohollah Barzamini,et al.  Adaptive generalized minimum variance congestion controller for dynamic TCP/AQM networks , 2012, Comput. Commun..

[38]  M. Azadegan,et al.  State feedback control of uncertain networked control systems with disturbance attenuation , 2012, 2012 IEEE International Conference on Industrial Technology.

[39]  R. Srikant,et al.  Analysis and design of an adaptive virtual queue (AVQ) algorithm for active queue management , 2001, SIGCOMM '01.

[40]  Donald F. Towsley,et al.  Analysis and design of controllers for AQM routers supporting TCP flows , 2002, IEEE Trans. Autom. Control..

[41]  Long Wang,et al.  Sampled-data stabilisation of networked control systems with nonlinearity , 2005 .

[42]  E. Fridman,et al.  Delay-dependent stability and H ∞ control: Constant and time-varying delays , 2003 .

[43]  Johan Nilsson,et al.  Stochastic Analysis and Control of Real-Time Systems with Random Time Delays , 1996 .

[44]  Tongwen Chen,et al.  A new method for stabilization of networked control systems with random delays , 2005 .

[45]  Kuo-Hui Tsai,et al.  AQM router design for TCP network via input constrained fuzzy control of time-delay affine Takagi–Sugeno fuzzy models , 2012, Int. J. Syst. Sci..

[46]  H. Fang,et al.  Stabilization of nonlinear networked systems with sensor random packet dropout and time-varying delay , 2011 .

[47]  Steven H. Low,et al.  Stabilized Vegas , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).