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Stability connection between sampled-data fuzzy control systems with quantization and their approximate discrete-time model

Authors
Journal
Automatica
0005-1098
Publisher
Elsevier
Publication Date
Volume
45
Issue
6
Identifiers
DOI: 10.1016/j.automatica.2009.02.009
Keywords
  • Takagi–Sugeno (T–S) Fuzzy System
  • Sampled-Data Control
  • Discrete-Time Model
  • Quantization
  • Stability
Disciplines
  • Computer Science
  • Design

Abstract

Abstract This paper concerns the stability of a sampled-data Takagi–Sugeno (T–S) fuzzy control system with quantization, when a controller design is based on an approximate discrete-time model of the plant without quantization. The motivations come from the facts that digital devices for interfacing a plant with a controller quantize signals and an exact discrete-time model of the T–S fuzzy system is generally not amenable to synthesis process. We show that the concerned system is Lagrange stabilizable by the controller asymptotically stabilizing the approximate discrete-time model. A constructive design algorithm for the developed stability analysis is proposed in terms of linear matrix inequalities.

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