Explicit conditions for stabilization over noisy channels subject to SNR constraints

In this paper, we analyze the stability of networked control systems when parallel additive white noise (AWN) channels are considered. We assume that the parallel AWN channels are individually constrained in its signal to noise ratio (SNR). We obtain explicit conditions on the minimum requirements on the channel SNRs necessary for stability for a set of particular plant structures. Our results show explicitly the role played by the unstable plant pole directions in the stability of NCSs. We also show that, when state feedback control is used, a simple characterization on the channel SNRs for stability can be given.

[1]  U. Ozguner,et al.  Stability of Linear Feedback Systems with Random Communication Delays , 1991, 1991 American Control Conference.

[2]  Graham C. Goodwin,et al.  Control system design subject to SNR constraints , 2010, Autom..

[3]  Richard H. Middleton,et al.  Feedback stabilization over signal-to-noise ratio constrained channels , 2007, Proceedings of the 2004 American Control Conference.

[4]  Ertem Tuncel,et al.  Optimal tracking performance of discrete-time systems over an additive white noise channel , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[5]  Eduardo I. Silva,et al.  Analysis and design of partly networked architectures for two-input two-output LTI systems , 2011 .

[6]  Richard H. Middleton,et al.  Stabilization Over Power-Constrained Parallel Gaussian Channels , 2011, IEEE Transactions on Automatic Control.

[7]  Sigurd Skogestad,et al.  Effect of RHP zeros and poles on performance in multivariable systems , 1996 .

[8]  Umit Ozguner,et al.  Stability of linear feedback systems with random communication delays , 1994 .

[9]  Panos J. Antsaklis,et al.  Special Issue on Technology of Networked Control Systems , 2007 .

[10]  Jie Chen,et al.  Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

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

[12]  Nicola Elia,et al.  Remote stabilization over fading channels , 2005, Syst. Control. Lett..

[13]  Jie Chen,et al.  Stabilization of TITO Systems Over Parallel SNR-Constrained AWN Channels , 2012, ROCOND.

[14]  Panos J. Antsaklis,et al.  Guest Editorial Special Issue on Networked Control Systems , 2004, IEEE Trans. Autom. Control..

[15]  Robin J. Evans,et al.  Feedback Control Under Data Rate Constraints: An Overview , 2007, Proceedings of the IEEE.

[16]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.