1970Proceedings of the Institution of Electrical EngineersRequires access

Pole-shifting techniques for multivariable feedback systems

D.G. Retallack, Alistair G. J. MacFarlane

Open publisher page 23 citations

Abstract

A straightforward state-feedback pole-shifting algorithm is derived from the Hsu-Chen theorem relating the open- and closed-loop characteristic frequencies of multivariable feedback systems to the return-difference determinant. The simplicity of the derivation and its relationship to transfer-function descriptions should prove helpful in the search for design techniques for systems with incomplete state feedback.

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A straightforward state-feedback pole-shifting algorithm is derived from the Hsu-Chen theorem relating the open- and closed-loop characteristic frequencies of multivariable feedback systems to the return-difference determinant. The simplicity of the derivation and its relationship to transfer-function descriptions should prove helpful in the search for design techniques for systems with incomplete state feedback.

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Available abstract

A straightforward state-feedback pole-shifting algorithm is derived from the Hsu-Chen theorem relating the open- and closed-loop characteristic frequencies of multivariable feedback systems to the return-difference determinant. The simplicity of the derivation and its relationship to transfer-function descriptions should prove helpful in the search for design techniques for systems with incomplete state feedback.

Key concepts: Multivariable calculus, Control theory (sociology), Transfer function, Simplicity, Full state feedback, Closed-loop pole, State (computer science), Chen

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