Dynamic Quantized Predictive Control for Systems with Time-Varying Delay and Packet Loss in the Forward Channel

Stability and design of a dynamic quantized predictive control system with time-varying delay and packet loss are studied. For the system with time-varying delay and packet loss in the forward channel, a dynamic quantizer that can minimize the quantized output error is designed and a networked quantized predictive control (NQPC) strategy is proposed to compensate for the delay and packet loss. Stability of the NQPC system is then analyzed and a sufficient stability condition is derived and presented in the form of matrix inequality. Finally, both simulation and experimental results are given to demonstrate the effectiveness of the proposed approach.

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

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

[3]  F. Fagnani,et al.  Stability analysis and synthesis for scalar linear systems with a quantized feedback , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[4]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[5]  Daniel Liberzon,et al.  Hybrid feedback stabilization of systems with quantized signals , 2003, Autom..

[6]  Sandro Zampieri,et al.  Quantized stabilization of linear systems: complexity versus performance , 2004, IEEE Transactions on Automatic Control.

[7]  Robin J. Evans,et al.  Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates , 2004, SIAM J. Control. Optim..

[8]  Shuzhi Sam Ge,et al.  Analysis and synthesis of switched linear control systems , 2005, Autom..

[9]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[10]  G. Goodwin,et al.  Geometric characterization of multivariable quadratically stabilizing quantizers , 2006 .

[11]  Yuanqing Xia,et al.  Networked Predictive Control of Systems With Random Network Delays in Both Forward and Feedback Channels , 2007, IEEE Transactions on Industrial Electronics.

[12]  Koji Tsumura,et al.  The coarsest logarithmic quantizers for stabilization of linear systems with packet losses , 2007, 2007 46th IEEE Conference on Decision and Control.

[13]  Yuanqing Xia,et al.  Design and Stability Criteria of Networked Predictive Control Systems With Random Network Delay in the Feedback Channel , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[14]  Guoping Liu,et al.  Event-Driven Networked Predictive Control , 2007, IEEE Transactions on Industrial Electronics.

[15]  Yuanqing Xia,et al.  New stability and stabilization conditions for systems with time-delay , 2007, Int. J. Syst. Sci..

[16]  Shun-ichi Azuma,et al.  Optimal dynamic quantizers for discrete-valued input control , 2008, Autom..

[17]  Yuanqing Xia,et al.  Design and Practical Implementation of Internet-Based Predictive Control of a Servo System , 2008, IEEE Transactions on Control Systems Technology.

[18]  Guo-Ping Liu,et al.  Improved predictive control approach to networked control systems , 2008 .

[19]  Koji Tsumura,et al.  Tradeoffs between quantization and packet loss in networked control of linear systems , 2009, Autom..

[20]  W. P. M. H. Heemels,et al.  Controller synthesis for networked control systems , 2010, Autom..

[21]  Jian Sun,et al.  A note on stability and stabilization of discrete-time systems with time-varying delay , 2012, Proceedings of the 31st Chinese Control Conference.