The engineering of cybernetic systems
Robert L. Fry · AIP conference proceedings · 2002
This tutorial develops a logical basis for the engineering of systems that operate cybernetically. The term cybernetic system has a clear quantitative definition. It is a system that dynamically matches acquired information to selected actions relative to a computational issue that defines the essential purpose of the system or machine. This notion requires that information and control be further quantified. The logic of questions and assertions as developed by Cox provides one means of doing this. The design and operation of cybernetic systems can be understood by contrasting these kinds of systems with communication systems and information theory as developed by Shannon. The joint logic of questions and assertions can be seen to underlie and be common to both information theory as applied to the design of discrete communication systems and to a theory of discrete general systems. The joint logic captures a natural complementarity between systems that transmit and receive information and those that acquire and act on it. Specific comparisons and contrasts are made between the source rate and channel capacity of a communication system and the acquisition rate and control capacity of a general system. An overview is provided of the joint logic of questions and assertions and the ties that this logic has to both conventional information theory and to a general theory of systems. I-diagrams, the interrogative complement of Venn diagrams, are described as providing valuable reasoning tools. An initial framework is suggested for the design of cybernetic systems. Two examples are given to illustrate this framework as applied to discrete cybernetic systems. These examples include a predator-prey problem as illustrated through “The Dog Chrysippus Pursuing its Prey,” and the derivation of a single-neuron system that operates cybernetically and is biologically plausible. Future areas of research are highlighted which require development for a mature engineering framework.