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IMA Journal of Mathematical Control and Information 1988 5(2):85-101; doi:10.1093/imamci/5.2.85
© 1988 by Institute of Mathematics and its Applications
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An Information Theoretic Approach to Regulation Systems

MICHAEL G. SABOURIN1 and PETER E. CAINES2

1Department of Electrical Engineering, McGill University Montréal, Canada
2Canadian Institute For Advanced Research, and Department Of Electrical Engineering, McGill University Montréal, Canada

Based on the work of Enegell(1985), a novel approach to the analaysis of control systems by means of information-theoretical concepts is presented. Using results from rate-distortion theory, the requisite variety of the regulator necessary for a certian performance is derived. This theory is used to analyse feedback regulation systems, in particular, the Minimum Variance Control law for linear systems with a quadratic performance criterion. The main result of this paper has implications for the evaluation of L{infty}-bounds on analytic functions.


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