Finite-time control for a class of networked control systems with short time-varying delays and sampling jitter

This paper is concerned with the finite-time control problem for a class of networked control systems (NCSs) with short time-varying delays and sampling jitter. Considering a state feedback controller, the closed-loop NCS is described as a discrete-time linear system model, and the uncertain parts reflect the effect of the the network-induced delays and short sampling jitter of the system dynamics. Then a robust approach is proposed to solve the finite-time stability and stabilization problems for the considered NCS. An illustrative example is provided to demonstrate the effectiveness of the proposed theoretical results.

[1]  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.

[2]  Jamal Daafouz,et al.  Analysis and control of LTI and switched systems in digital loops via an event-based modelling , 2008, Int. J. Control.

[3]  Wen-An Zhang,et al.  A Robust Control Approach to Stabilization of Networked Control Systems with Short Time-varying Delays , 2010 .

[4]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[5]  Wen-an Zhang,et al.  A robust control approach to stabilization of networked control systems with time-varying delays , 2009, Autom..

[6]  Dan Zhang,et al.  Finite-time H∞ control for a class of discrete-time switched time-delay systems with quantized feedback , 2012 .

[7]  Nathan van de Wouw,et al.  Stability of Networked Control Systems With Uncertain Time-Varying Delays , 2009, IEEE Transactions on Automatic Control.

[8]  Li Liu,et al.  Finite-time stability of linear time-varying singular systems with impulsive effects , 2008, Int. J. Control.

[9]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems: Analysis and design conditions , 2010, Autom..

[10]  Li Liu,et al.  Finite-time stabilization of linear systems via impulsive control , 2008, Int. J. Control.

[11]  P. Dorato,et al.  Finite time stability under perturbing forces and on product spaces , 1967, IEEE Transactions on Automatic Control.

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

[13]  Yeguo Sun,et al.  Finite-Time Boundedness and Stabilization of Networked Control Systems with Time Delay , 2012 .

[14]  Wen-An Zhang,et al.  BIBO stability and stabilization of networked control systems with short time‐varying delays , 2011 .

[15]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[16]  Shihua Li,et al.  Finite-time stability and stabilization of switched linear systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[17]  Feng Jun,et al.  Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances , 2005 .

[18]  Hisaya Fujioka,et al.  Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities , 2010, Autom..

[19]  Changchun Hua,et al.  Modeling and control for wireless networked control system , 2011, Int. J. Autom. Comput..