Sampling of diffusion processes for real-time estimation

This paper addresses the causal sampling of observations of a diffusion process that results in a good quality continuous estimator based upon these samples. The optimal sampling scheme with a fixed number of samples is found by solving an optimal (multiple) stopping problem. This is solved explicitly in a special case. A class of threshold approximations is also described.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  Harold J. Kushner,et al.  On the optimum timing of observations for linear control systems with unknown initial state , 1964 .

[3]  H. Witsenhausen Separation of estimation and control for discrete time systems , 1971 .

[4]  R. Glowinski Lectures on Numerical Methods for Non-Linear Variational Problems , 1981 .

[5]  José-Luis Menaldi,et al.  The separation principle for impulse control problems , 1981 .

[6]  H. Poor,et al.  Fine quantization in signal detection and estimation , 1988, IEEE Trans. Inf. Theory.

[7]  R. Brockett,et al.  Systems with finite communication bandwidth constraints. I. State estimation problems , 1997, IEEE Trans. Autom. Control..

[8]  Khalil Najafi,et al.  A generic multielement microsystem for portable wireless applications , 1998, Proc. IEEE.

[9]  State and parameter estimation from boundary-crossings , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[10]  Wing Shing Wong,et al.  Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback , 1999, IEEE Trans. Autom. Control..

[11]  Paul Raymund Nicastri,et al.  Automotive vehicle control challenges in the 21st century , 2000 .

[12]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[13]  V. Borkar,et al.  Optimal sequential vector quantization of Markov sources , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[14]  Donal Heffernan,et al.  Expanding Automotive Electronic Systems , 2002, Computer.

[15]  K. Åström,et al.  Comparison of Riemann and Lebesgue sampling for first order stochastic systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[16]  P.R. Kumar,et al.  Interrupt-based feedback control over a shared communication medium , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[17]  Feng Zhao,et al.  State-Centric Programming for Sensor-Actuator Network Systems , 2003, IEEE Pervasive Comput..

[18]  John Stanley,et al.  Applying Video Sensor Networks to Nearshore Environment Monitoring , 2003, IEEE Pervasive Comput..

[19]  Anna Hać,et al.  Wireless Sensor Network Designs , 2003 .