Filtering for Nonlinear Discrete-Time Networked Control Systems with Incomplete Measurements and Stochastic Disturbances

This paper is concerned with the filtering problem for a class of discrete-time stochastic nonlinear networked control systems with network-induced incomplete measurements. The incomplete measurements include both the multiple random communication delays and random packet losses, which are modeled by a unified stochastic expression in terms of a set of indicator functions that dependent on certain stochastic variable. By using the linear matrix inequality (LMI) method and delay-dependent technique, sufficient conditions are derived which are dependent on the occurrence probability of both the random communication delays and missing measurement. A simulation example is exploited to demonstrate the effectiveness of the proposed design procedures.

[1]  Yingwei Zhang,et al.  Stability of networked control system with quantization , 2009, 2009 Chinese Control and Decision Conference.

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

[3]  Shengyuan Xu,et al.  Control for stability and positivity: equivalent conditions and computation , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[4]  Gang Feng,et al.  Robust filtering design of piecewise discrete time linear systems , 2005, IEEE Transactions on Signal Processing.

[5]  Bruno Sinopoli,et al.  Foundations of Control and Estimation Over Lossy Networks , 2007, Proceedings of the IEEE.

[6]  Huijun Gao,et al.  Robust L/sub 2/-L/sub /spl infin// filtering for uncertain systems with multiple time-varying state delays , 2003 .

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

[8]  G. Feng Robust H/sub /spl infin// filtering of fuzzy dynamic systems , 2005 .

[9]  Fuwen Yang,et al.  Robust $H_{\infty }$ Control With Missing Measurements and Time Delays , 2007, IEEE Transactions on Automatic Control.

[10]  Daniel W. C. Ho,et al.  Robust filtering under randomly varying sensor delay with variance constraints , 2003, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[12]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[13]  Fuwen Yang,et al.  Robust H-infinity filtering for stochastic time-delay systems with missing measurements , 2006 .

[14]  Z. Han,et al.  Robust H∞ filtering of fuzzy dynamic systems , 1999 .

[15]  Raja Sengupta,et al.  An H/sub /spl infin// approach to networked control , 2005, IEEE Transactions on Automatic Control.

[16]  Donghua Zhou,et al.  Robust H ∞ filtering for networked systems with multiple state delays , 2007, Int. J. Control.