14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper FrA4.6

Nair, Girish (Univ. of Melbourne), Huang, Minyi (Univ. of Melbourne), Evans, Robin J. (Univ. of Melbourne)

Optimal Infinite Horizon Control under a Low Data Rate

Scheduled for presentation during the Regular Session "Iterative and Adaptive Control" (FrA4), Friday, March 31, 2006, 12:10−12:30, Cummings Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on July 17, 2018

Keywords Hybrid and Distributed System Identification, Channel Estimation/Equalization

Abstract

This paper considers the optimal control of linear systems where measurement data is transmitted from the plant output to the controller over a noiseless communication channel with limited instantaneous data rate. The cost is defined to be the average, over a random initial state, of the usual infinite horizon quadratic regulation criterion, and the number of bits transported by the channel during each sampling interval is fixed. Several fundamental properties of the optimal cost functional are derived for initial state densities that satisfy a mild moment condition. Using these properties, precise expressions for the optimal cost and policy are obtained assuming a uniformly distributed initial state. These expressions agree with the classical optimal LQR results in the high data rate limit and with recent minimum rate results in the low rate regime. Extensions to the case of non-uniform densities and vector-valued states are discussed.