2001•IEEJ Transactions on Electronics Information and SystemsOpen access

Pole Placement Using Optimal Regulators

Toru Fujinaka, Sigeru Omatu

Abstract

A method for constructing a linear quadratic regulator with prescribed closed-loop poles is presented. The design method employs successive shifting of either a single real pole or a pair of complex conjugate poles at a time. This imposes a certain limitation to the location of the closed-loop poles to be specified, and the region of assignable poles is clarified. The effectiveness of the proposed method is illustrated by a numerical example.

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Key concepts: Closed-loop pole, Control theory (sociology), Full state feedback, Pole–zero plot, Regulator, Loop (graph theory), Complex conjugate, Mathematics