PERFORMANCE LIMITS IN MULTI-CHANNEL NETWORKED CONTROL SYSTEM ARCHITECTURES

Abstract In networked control systems the communication links between controller and plant affect closed loop properties. To optimize performance, the communication medium should be used carefully. For that purpose, several configurations have been investigated. In the present work, we study a bit-rate limited multi-channel networked control system architecture, where communication is through parallel links. By adopting an additive quantization noise model, we characterize optimal coder-decoder pairs and show how to allocate individual bit-rates. The results obtained establish performance bounds for the multi-channel networked control system architecture.

[1]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[2]  P. P. Vaidyanathan,et al.  Effects of Multirate Systems on the Statistical Properties of Random Signals , 1993, IEEE Trans. Signal Process..

[3]  Graham C. Goodwin,et al.  An improved architecture for networked control systems , 2005 .

[4]  Graham C. Goodwin,et al.  Design of modulated and demodulated controllers for flexible structures , 2007 .

[5]  Graham C. Goodwin,et al.  Architectures and coder design for networked control systems , 2008, Autom..

[6]  William S. Levine,et al.  Handbook Of Networked And Embedded Control Systems , 2007 .

[7]  Martin Vetterli,et al.  A theory of multirate filter banks , 1987, IEEE Trans. Acoust. Speech Signal Process..

[8]  J. Freudenberg,et al.  Control over Signal-to-Noise Ratio Constrained Channels: Stabilization and Performance , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[9]  Sekhar Tatikonda,et al.  Control over noisy channels , 2004, IEEE Transactions on Automatic Control.

[10]  Richard M. Murray,et al.  State estimation over packet dropping networks using multiple description coding , 2006, Autom..

[11]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[12]  Stephen P. Boyd,et al.  Joint optimization of communication rates and linear systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[13]  C. Canudas-de-Wit,et al.  Differential coding in networked controlled linear systems , 2006, 2006 American Control Conference.

[14]  S. Hirche,et al.  Performance Oriented Control over Networks -- Switching Controllers and Switched Time Delay -- , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[15]  David L. Neuhoff,et al.  The validity of the additive noise model for uniform scalar quantizers , 2005, IEEE Transactions on Information Theory.

[16]  G. Goodwin,et al.  Optimal noise shaping for Networked Control Systems , 2007, 2007 European Control Conference (ECC).

[17]  Robin J. Evans,et al.  Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates , 2004, SIAM J. Control. Optim..

[18]  Anant Sahai Stabilization using both noisy and noiseless feedback , 2006, ArXiv.

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