Stabilization of Systems Under Stochastic Clock Offsets

This paper is concerned with the stabilization of networked control systems under clock offsets between sensors and controllers where the clock offsets are assumed to be stochastic variables following a certain probability distribution. A linear time-invariant controller is designed to deal with the effects of the stochastic offsets between sensors and controllers clocks, which can guarantee the stochastic stability of the linear systems. Finally, the validity of our results is illustrated using a numerical simulation.

[1]  Cleve B. Moler,et al.  Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later , 1978, SIAM Rev..

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

[3]  Young Soo Suh.  Stability and stabilization of nonuniform sampling systems , 2008, Autom..

[4]  Ling Shi,et al.  Time synchronization in WSNs: A maximum value based consensus approach , 2011, IEEE Conference on Decision and Control and European Control Conference.

[5]  Panos J. Antsaklis,et al.  Model-Based Control of Networked Systems , 2014 .

[6]  João Pedro Hespanha,et al.  Exponential stability of impulsive systems with application to uncertain sampled-data systems , 2008, Syst. Control. Lett..

[7]  Yik-Chung Wu,et al.  Clock Synchronization in Wireless Sensor Networks: An Overview , 2009, Sensors.

[8]  Erchin Serpedin,et al.  On Maximum Likelihood Estimation of Clock Offset and Skew in Networks With Exponential Delays , 2008, IEEE Transactions on Signal Processing.

[9]  Bo Ai,et al.  Enhanced sampling clock offset correction based on time domain estimation scheme , 2011, IEEE Transactions on Consumer Electronics.

[10]  Y. Shu.  Stability and stabilization of nonuniform sampling systems. , 2008 .

[11]  Guoping Liu,et al.  Delay‐dependent stability and stabilization of neutral time‐delay systems , 2009 .

[12]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

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

[14]  Jan Swevers,et al.  Robust high-order repetitive control: Optimal performance trade-offs , 2008, Autom..

[15]  João Pedro Hespanha,et al.  Control under clock offsets and actuator saturation , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[16]  K. Hirata,et al.  Synchronization of multiple plants over networks via switching observer with time-stamp information , 2008, 2008 SICE Annual Conference.

[17]  Qin Zhang,et al.  Real-time estimation of satellite clock offset using adaptively robust Kalman filter with classified adaptive factors , 2012, GPS Solutions.

[18]  Ian F. Akyildiz,et al.  Time-diffusion synchronization protocol for wireless sensor networks , 2005, IEEE/ACM Transactions on Networking.

[19]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[20]  Daniel R. Jeske,et al.  On maximum-likelihood estimation of clock offset , 2005, IEEE Transactions on Communications.

[21]  M. Vidyasagar,et al.  Algebraic design techniques for reliable stabilization , 1982 .

[22]  David L. Mills,et al.  Internet time synchronization: the network time protocol , 1991, IEEE Trans. Commun..

[23]  Hisaya Fujioka,et al.  A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices , 2009, IEEE Transactions on Automatic Control.

[24]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[25]  Emilia Fridman,et al.  Recent developments on the stability of systems with aperiodic sampling: An overview , 2017, Autom..

[26]  João Pedro Hespanha,et al.  Stabilization of systems with asynchronous sensors and controllers , 2016, Autom..

[27]  Corentin Briat.  Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints , 2013, Autom..