Observer design for discrete-time systems subject to long time-delay

This paper addresses the problem of designing a classical observer extended to dynamical discrete-time systems with constant delays. The idea of two forms of state observers is presented to compensate fixed time-delay. Convergence conditions have been found to ensure the stability of the error dynamics and the related gains may be selected based on a set of linear matrix inequality (LMI). The results show that the compensation-based state observer is much superior in dealing with time-delay in the case that the buffer permits us to transform the time-delay system into a fixed time-delay system. Simulation and experimental results are provided to demonstrate the advantage of the proposed observation technique.

[1]  Minrui Fei,et al.  Adaptive control systems with network closed identification loop , 2006 .

[2]  Laurent Laval,et al.  Stabilization of Networked Control Systems with uncertain time-varying delays , 2009, 2009 17th Mediterranean Conference on Control and Automation.

[3]  Yeng Chai Soh,et al.  Adaptive Kalman Filtering in Networked Systems With Random Sensor Delays, Multiple Packet Dropouts and Missing Measurements , 2010, IEEE Transactions on Signal Processing.

[4]  Lihua Xie,et al.  Optimal linear estimation for systems with multiple packet dropouts , 2008, Autom..

[5]  Jerzy Seidler.  A Method of Analysis of Discrete Communication Feedback Systems , 1975, Inf. Control..

[6]  Asok Ray,et al.  An observer-based compensator for distributed delays , 1990, Autom..

[7]  Vincenzo Liberatore,et al.  Networked control system co-simulation for co-design , 2003, Proceedings of the 2003 American Control Conference, 2003..

[8]  Luca Schenato,et al.  Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop , 2008, IEEE Transactions on Automatic Control.

[9]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[10]  Anton Cervin,et al.  A Matlab toolbox for real-time and control systems co-design , 1999, Proceedings Sixth International Conference on Real-Time Computing Systems and Applications. RTCSA'99 (Cat. No.PR00306).

[11]  K. Chabir,et al.  Design of an adaptive Kalman filter for fault detection of Networked Control Systems , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[12]  Andrey V. Savkin,et al.  The problem of state estimation via asynchronous communication channels with irregular transmission times , 2003, IEEE Trans. Autom. Control..

[13]  Björn Wittenmark,et al.  Stochastic Analysis and Control of Real-time Systems with Random Time Delays , 1999 .

[14]  Nan Xiao,et al.  Optimal Filtering for Systems With Multiple Packet Dropouts , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[15]  Sirish L. Shah,et al.  Optimal H2 filtering with random sensor delay, multiple packet dropout and uncertain observations , 2007, Int. J. Control.