Analysis and design of networked control systems using the additive noise model methodology

Networked Control has emerged in recent years as a new and exciting area in systems science. The topic has many potential applications in diverse areas ranging from control of microrobots to biological and economic systems. The supporting theory is very rich and combines aspects of control, signal processing, telecommunications, and information theory. In this paper, we give a partial overview of recent developments in Networked Control with an emphasis on the additive noise model methodology. We also point to several open problems in this emerging area.

[1]  M. Feder,et al.  Information Rates of Pre/post Filtered Dithered Quantizers , 1993, Proceedings. IEEE International Symposium on Information Theory.

[2]  Graham C. Goodwin,et al.  On the design of control systems over unreliable channels , 2009, 2009 European Control Conference (ECC).

[3]  M. Salgado,et al.  MIMO interaction measure and controller structure selection , 2004 .

[4]  Carlos Canudas-de-Wit,et al.  Entropy coding for Networked Controlled Systems , 2007, 2007 European Control Conference (ECC).

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

[6]  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.

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

[8]  Vinay Kariwala,et al.  Fundamental limitation on achievable decentralized performance , 2007, Autom..

[9]  Andrey V. Savkin,et al.  Analysis and synthesis of networked control systems: Topological entropy, observability, robustness and optimal control , 2005, Autom..

[10]  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.

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

[12]  Bruce A. Francis,et al.  Stabilization with control networks , 2002, Autom..

[13]  Richard H. Middleton,et al.  Infimal feedback capacity for a class of additive coloured Gaussian noise channels , 2008 .

[14]  Helmut Bölcskei,et al.  Noise reduction in oversampled filter banks using predictive quantization , 2001, IEEE Trans. Inf. Theory.

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

[16]  Edoardo Mosca,et al.  Predictive teleoperation of constrained dynamic systems via Internet-like channels , 2006, IEEE Transactions on Control Systems Technology.

[17]  Eduardo I. Silva,et al.  Time-domain performance limitations arising from decentralized architectures and their relationship to the RGA , 2005 .

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

[19]  G. Kaplan Ethernet's winning ways , 2001 .

[20]  Feng-Li Lian,et al.  Modelling and optimal controller design of networked control systems with multiple delays , 2003 .

[21]  Clarence W. de Silva,et al.  Compensation for transmission delays in an ethernet-based control network using variable-horizon predictive control , 2006, IEEE Transactions on Control Systems Technology.

[22]  Eduardo I. Silva,et al.  A unified framework for the analysis and design of networked control systems , 2009 .

[23]  C. Canudas de Wit,et al.  Gain-scheduling multi-bit Delta-Modulator for Networked Controlled System , 2007, 2007 European Control Conference (ECC).

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

[25]  F. Fagnani,et al.  Stability analysis and synthesis for scalar linear systems with a quantized feedback , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[26]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[27]  Qiang Ling,et al.  Power spectral analysis of networked control systems with data dropouts , 2004, IEEE Transactions on Automatic Control.

[28]  Yuki Minami,et al.  An optimal dynamic quantizer for feedback control with discrete-valued signal constraints , 2007, 2007 46th IEEE Conference on Decision and Control.

[29]  Graham C. Goodwin,et al.  On Networked Control Architectures for MIMO Plants , 2008 .

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

[31]  D.E. Quevedo,et al.  Packetized Predictive Control over Erasure Channels , 2007, 2007 American Control Conference.

[32]  James B. Rawlings,et al.  Coordinating multiple optimization-based controllers: New opportunities and challenges , 2008 .

[33]  K. Åström Introduction to Stochastic Control Theory , 1970 .

[34]  Gabor C. Temes,et al.  Understanding Delta-Sigma Data Converters , 2004 .

[35]  V. Solo,et al.  The minimal signal-to-noise ratio required to stabilize over a noisy channel , 2006, 2006 American Control Conference.

[36]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

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

[38]  W. R. Bennett,et al.  Spectra of quantized signals , 1948, Bell Syst. Tech. J..

[39]  Petros G. Voulgaris,et al.  Cooperative control over link-limited and packet-dropping networks , 2007, 2007 European Control Conference (ECC).

[40]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[41]  M. Salgado,et al.  On structurally constrained H/sub 2/ performance bounds for stable MIMO plant models , 2007 .

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

[43]  C. S. Güntürk One‐bit sigma‐delta quantization with exponential accuracy , 2003 .

[44]  Bruno Sinopoli,et al.  Receding Horizon Networked Control , 2006 .

[45]  D. Delchamps Stabilizing a linear system with quantized state feedback , 1990 .

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

[47]  Meir Feder,et al.  On universal quantization by randomized uniform/lattice quantizers , 1992, IEEE Trans. Inf. Theory.

[48]  J. Hespanha,et al.  Towards the Control of Linear Systems with Minimum Bit-Rate , 2002 .

[49]  Graham C. Goodwin,et al.  Optimal controller design for networked control systems , 2008 .

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

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

[52]  Alberto Bemporad,et al.  Predictive control of teleoperated constrained systems with unbounded communication delays , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[53]  Tamer Basar,et al.  Communication Constraints for Decentralized Stabilizability With Time-Invariant Policies , 2007, IEEE Transactions on Automatic Control.

[54]  Robert M. Gray,et al.  Dithered quantizers , 1993, IEEE Trans. Inf. Theory.

[55]  Nicola Elia,et al.  When bode meets shannon: control-oriented feedback communication schemes , 2004, IEEE Transactions on Automatic Control.

[56]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[57]  Senchun Chai,et al.  Design and stability analysis of networked control systems with random communication time delay using the modified MPC , 2006 .

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

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

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

[61]  M. Dahleh,et al.  Fundamental limitations of performance in the presence of finite capacity feedback , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[63]  Julio H. Braslavsky,et al.  Stabilization with disturbance attenuation over a Gaussian channel , 2007, 2007 46th IEEE Conference on Decision and Control.

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

[65]  Robin J. Evans,et al.  Topological feedback entropy and Nonlinear stabilization , 2004, IEEE Transactions on Automatic Control.

[66]  Daniel E. Quevedo,et al.  Simple coding for achieving mean square stability over bit-rate limited channels , 2008, 2008 47th IEEE Conference on Decision and Control.

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

[68]  A.S. Matveev,et al.  Decentralized Stabilization of Linear Systems via Limited Capacity Communication Networks , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

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

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

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

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