Abstract

This paper investigates the problem of reduced-order H∞ filter design for singular fractional-order systems with order 0<α<1. It provides necessary and sufficient conditions for designs of both reduced-order H∞ filters and zeroth-order H∞ filters. When reduced to special cases, the present results are shown to include those in recent works as special cases. Illustrative examples are presented to demonstrate the effectiveness of the results.

Highlights

  • We will introduce the design methods of reduced-order H∞ filter and zeroth-order H∞ filter for singular fractional-order system (FOS)

  • We study the problem of reduced-order H∞ filter design for commensurate fractional-order systems

  • This paper deals with the reduced-order H∞ filtering problem of singular FOS with fractional order 0 < α < 1

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Summary

Introduction

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