Subband coding for networked control systems

We study a source coding method for networked control systems (NCSs) for SISO LTI plant models. To make efficient use of limited communication resources between controller and plant actuator, we develop a non-uniformly sampled subband coding NCS architecture, which we design to minimize a bound on the tracking error variance caused by quantization effects. Our main contribution, in relation to earlier work on subband coding NCSs, lies in that we allow each subband to be equipped with pre- and post-filters. To characterize optimal filters and to solve the subband bit-allocation problem, we model quantization effects via signal-to-noise ratio constraints and explicitly take into account the closed-loop nature of signals. Simulation results verify that the resultant designs perform exceptionally well, even in non-idealized situations. Copyright © 2008 John Wiley & Sons, Ltd.

[1]  Jelena Kovacevic,et al.  Wavelets and Subband Coding , 2013, Prentice Hall Signal Processing Series.

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

[3]  Graham C. Goodwin,et al.  Control over unreliable networks affected by packet erasures and variable transmission delays , 2008, IEEE Journal on Selected Areas in Communications.

[4]  Graham C. Goodwin,et al.  PERFORMANCE LIMITS IN MULTI-CHANNEL NETWORKED CONTROL SYSTEM ARCHITECTURES , 2007 .

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

[6]  Peter No,et al.  Digital Coding of Waveforms , 1986 .

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

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

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

[10]  Sekhar Tatikonda,et al.  Control under communication constraints , 2004, IEEE Transactions on Automatic Control.

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

[12]  D.E. Quevedo,et al.  Networked PID control , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[13]  P. Vaidyanathan Multirate Systems And Filter Banks , 1992 .

[14]  Graham C. Goodwin,et al.  On Optimal Perfect Reconstruction Feedback Quantizers , 2008, IEEE Transactions on Signal Processing.

[15]  Vivek K. Goyal,et al.  Multiple description coding: compression meets the network , 2001, IEEE Signal Process. Mag..

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

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

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

[19]  K. H. Barratt Digital Coding of Waveforms , 1985 .

[20]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[21]  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.

[22]  Alberto Isidori,et al.  Stabilizability by state feedback implies stabilizability by encoded state feedback , 2004, Syst. Control. Lett..

[23]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[24]  Zoran Cvetkovic,et al.  Nonuniform oversampled filter banks for audio signal processing , 2003, IEEE Trans. Speech Audio Process..

[25]  G. Goodwin,et al.  Finite constraint set receding horizon quadratic control , 2004 .

[26]  Graham C. Goodwin,et al.  Control System Design , 2000 .

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

[28]  Dragan Nesic,et al.  Input-output stability properties of networked control systems , 2004, IEEE Transactions on Automatic Control.

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

[30]  Shinji Hara,et al.  A subband coding approach to control under limited data rates and message losses , 2008, Autom..

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

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

[33]  Panos J. Antsaklis,et al.  Control and Communication Challenges in Networked Real-Time Systems , 2007, Proceedings of the IEEE.

[34]  Graham C. Goodwin,et al.  A moving horizon approach to Networked Control system design , 2004, IEEE Transactions on Automatic Control.

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

[36]  Stephen P. Boyd,et al.  Joint optimization of communication rates and linear systems , 2003, IEEE Trans. Autom. Control..

[37]  Vivek K Goyal High-rate transform coding: how high is high, and does it matter? , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[38]  Graham C. Goodwin,et al.  Quantization of Filter Bank Frame Expansions Through Moving Horizon Optimization , 2009, IEEE Transactions on Signal Processing.

[39]  Shun-ichi Azuma,et al.  Optimal dynamic quantizers for discrete-valued input control , 2008, Autom..