PERTURBATIONS IN NETWORKED CONTROL SYSTEMS

In this paper we study the effect of external perturbations on a networked control system. We start by assuming that the nonnetworked system without perturbation is exponentially stable. Then, for fast enough networks we show that if the perturbation is bounded the networked system is ultimately bounded and if the perturbation is vanishing then the networked system is asymptotically stable. We conclude the paper with simulations verifying the results.

[1]  R. Brockett,et al.  State estimation with finite communication bandwidth constraints , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[2]  R. Evans,et al.  Communication-limited stabilization of linear systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[3]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

[4]  R. Brockett,et al.  Systems with finite communication bandwidth constraints. I. State estimation problems , 1997, IEEE Trans. Autom. Control..

[5]  O. Beldiman,et al.  Error encoding algorithms for networked control systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[6]  Linda Bushnell,et al.  Asymptotic behavior of nonlinear networked control systems , 2001, IEEE Trans. Autom. Control..

[7]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[8]  Johan Nilsson,et al.  Real-Time Control Systems with Delays , 1998 .

[9]  Asok Ray,et al.  A Stochastic Regulator for Integrated Communication and Control Systems: Part I—Formulation of Control Law , 1991 .

[10]  Wei Zhang,et al.  Stability of networked control systems: explicit analysis of delay , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[11]  A. Sahai Evaluating channels for control: capacity reconsidered , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).