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Authors
Hara, Shinji

Digital Object Identifier (DOI)
10.3182/20071017-3-BR-2923.00100

Page Numbers:
620-625

Index Terms
feedback control,control performance limitation,bode integral relation,H2 control,H∞ control,H∞ loop shaping design,reciprocal transform

Abstract
This paper formally introduces a concept named "Reciprocal Transform" for unifying analytical expressions on control performance limits achievable by feedback for continuous-time systems. The transform swaps the role of poles and zeros and takes the reciprocal values. We first show its several properties and the state-space form. We then review Bode integral type relations and investigate performance limits for H2 tracking and regulation problems and H∞ control problems including loop shaping design. The investigations confirm the role of reciprocal transform in control performance limitations.

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