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

Authors:
Do Wan Kim;Ho Jae Lee
Affiliations:
Department of Electrical and Electronic Engineering, Yonsei University, Seoul 120-749, Republic of Korea;School of Electronic Engineering, Inha University, Incheon 402-751, Republic of Korea
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 10
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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.