Automatica, Vol.45, No.6, 1518-1523, 2009
Stability connection between sampled-data fuzzy control systems with quantization and their approximate discrete-time model
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. (C) 2009 Elsevier Ltd. All rights reserved.
Keywords:Takagi-Sugeno (T-S) fuzzy system;Sampled-data control;Discrete-time model;Quantization;Stability