Stability analysis of exact model matching control for finite volterra series systems

Osamu Yamanaka, Hiromitsu Ohmori, Akira Sano

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Abstract

For finite Volterra series systems, this paper investigates the stability of the exact model matching (EMM) control we have already presented. First, in order to analyze the stability of the EMM system, we present modified small gain theorems depending on the magnitude of the external input (s) in the cases of one input and two inputs. Next, with the help of the theorem for feedback systems with two inputs, we clarify the condition under which the control system is stable for the reference input magnitude within a certain range, and is also robust for small disturbances. The modified small gain theorems are effective for the stability analysis of the nonlinear feedback control systems which do not have affine finite gain.

Original languageEnglish
Pages (from-to)166-174
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE80-A
Issue number1
Publication statusPublished - 1997 Jan 1

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Keywords

  • Exact model matching
  • Finite Volterra series systems
  • Nonlinear control
  • Small gain theorem
  • Stability analysis

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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