Optimal communication logics in networked control systems

This paper addresses the control of spatially distributed processes over a network that imposes bandwidth constraints and communication delays. Optimal communication policies are derived for an estimator-based networked control system architecture to reduce the communication load. These policies arise as solutions of an average cost optimization problem, which is solved using dynamic programming. The optimal policies are shown to be deterministic.

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

[2]  H. Kushner Heavy Traffic Analysis of Controlled Queueing and Communication Networks , 2001 .

[3]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[4]  O. Hernández-Lerma Adaptive Markov Control Processes , 1989 .

[5]  D. Cox Some Statistical Methods Connected with Series of Events , 1955 .

[6]  Luc Devroye,et al.  Nonparametric Density Estimation , 1985 .

[7]  L. Devroye,et al.  Nonparametric density estimation : the L[1] view , 1987 .

[8]  Onésimo Hernández-Lerma,et al.  Markov Control Processes , 1996 .

[9]  W. Rudin Real and complex analysis , 1968 .

[10]  J. Craggs Applied Mathematical Sciences , 1973 .

[11]  R. D'Andrea,et al.  Distributed control of close formation flight , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[12]  Nandit Soparkar,et al.  Trading computation for bandwidth: reducing communication in distributed control systems using state estimators , 2002, IEEE Trans. Control. Syst. Technol..

[13]  I. Petersen,et al.  Multi-rate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[14]  M. K. Ghosh,et al.  Discrete-time controlled Markov processes with average cost criterion: a survey , 1993 .

[15]  L. Devroye,et al.  Nonparametric Density Estimation: The L 1 View. , 1985 .

[16]  Paul Glasserman,et al.  Numerical solution of jump-diffusion LIBOR market models , 2003, Finance Stochastics.

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

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

[19]  J. Hespanha,et al.  Communication logics for networked control systems , 2004, Proceedings of the 2004 American Control Conference.