MAKING A CONNECTION: PI AND PID CONTROLLER TUNING BY ANALOGY WITH THE MAXIMUM POWER TRANSFER THEOREM OF CIRCUIT THEORY

Annraoi de Paor - Brian Cogan

   The well known maximum power transfer theorem of linear AC circuit theory is reformulated as a relation in a single-loop feedback system and used to motivate a new idea for the design of PI and PID controllers for a class of asymptotically stable processes. Designs are compared with those yielded by a root locus-based optimum stability approach, and with a parameter space approach due to Datta, Ho and Bhattacharyya.

Keywords: control theory, circuit theory, maximum power transfer, optimum stability, root locus, phase margin, pid controllers, Nyquist stability theory

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