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On Stability Robustness of 2-D Systems Described by the Fornasini–Marchesini Model

Authors
  • Ooba, Tatsushi1
  • 1 Nagoya Institute of Technology, Department of Mechanical Engineering, Gokiso-cho, Showa-ku, Nagoya, 466-8555, Japan , Gokiso-cho, Showa-ku, Nagoya
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Kluwer Academic Publishers
Publication Date
Jan 01, 2001
Volume
12
Issue
1
Pages
81–88
Identifiers
DOI: 10.1023/A:1008420911857
Source
Springer Nature
Keywords
License
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Abstract

This paper studies the stability robustness estimates of two-dimensional(2-D) dynamics in the Fornasini–Marchesini model. It isstressed that the use of 2-D Lyapunov matrix inequality is limitedin application to the stability robustness estimate problem.Two alternative ways to estimate the stability robustness ofa 2-D dynamics are proposed. These are applicable in any stable2-D dynamics. The comparison between the stability robustnessestimate by the 2-D Lyapunov matrix inequality and those presentedin this paper is illustrated by a numerical example.

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