A design method of stable filtered inverse systems and their application to Inner-outer factorization for the strictly proper system

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  • Yamada Kou
    Faculty of Engineering, Gunma University, Kiryu

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  • 低域通過型安定逆システムの構成法と真にプロパーなシステムに対するインナー・アウター分解への応用
  • テイイキ ツウカガタ アンテイ ギャクシステム ノ コウセイホウ ト シン ニ プロパー ナ システム ニ タイスル インナー アウター ブンカイ エ ノ オウヨウ

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Abstract

This paper considers a design method of the filtered inverse system for time-invariant system, which produces the input signal to the system approximately. The inverse system must be stable in practical application. It is well known that the inverse system is unstable if the system has invariant zeros in right half plane. Yamada and Watanabe presented a state-space design method of stable filtered inverse system for the strictly proper system with some right half plane invariant zeros. But the method was explained with a bit complicated process.<br> The purpose of this paper is to give simple explanation to construct a stable filtered inverse system. We constract the preliminary filtered-inverse system by usual method and derive a puseud proper plant from it. The stable filtered inverse system is obtained by using transformation toward the filtered inverse system. An application of the stable filtered inverese system to a design method of inner-outer factorization for strictly proper systems without using descriptor form and solving generarized Riccati equation.

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