Network-based quantized H∞ control for T-S fuzzy singularly perturbed systems with persistent dwell-time switching mechanism and packet dropouts

This paper focuses on the H-infinity control problem for a class of discrete-time persistent dwell-time (PDT) switched nonlinear singularly perturbed systems (SPSs) under T-S fuzzy model. In order to make the system more consistent with the actual situation, the signal quantization associated with a logarithmic quantizer and the packet dropouts governed by a Bernoulli variable are considered simultaneously. And, the persistent dwell-time switching mechanism is employed to describe the fast and slow switching among several subsystems in the investigated systems alternatively. Based on the Lyapunov function approach and Takagi-Sugeno (T-S) fuzzy technique, some sufficient conditions are obtained, which can ensure the exponentially mean-square stable (EMSS) and H-infinity performance of the closed-loop system. In addition, a unified fuzzy controller design methodology is established for the nonlinear SPSs, so that the fuzzy controller can be designed depending on whether the fast states of the systems are available or not. Finally, a numerical example and a series DC motor model are provided to demonstrate the superiority and practicability of the obtained theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.