Fuzzy-Model-Based $H_\infty$ Control for Networked Singularly Perturbed Systems: The Asynchronous Weighted Try-Once-Discard Protocol Case
Yue Hu, Chenxiao Cai, Hong Lin, Oh‐Min Kwon
Abstract
This paper is devoted to designing an <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fuzzy controller for nonlinear singularly perturbed systems (SPSs) with limited communication bandwidth and parameter uncertainty. The challenges lie in designing a scheduling protocol for slow and fast system dynamics with less conservatism and addressing the issues of mismatched membership functions. The main contributions of this paper are threefold: (1) First, an asynchronous weighted try-once discard (AWTOD) mechanism is designed for slow and fast dynamics to effectively schedule data communication between sensors and the controller. (2) Then, slow and fast controllers are designed using interval type-2 (IT2) fuzzy technique to deal with system nonlinearity and parameter uncertainty. (3) Finally, a composite controller is designed to ensure the asymptotic stability of nonlinear SPSs. The feasibility of our approach is illustrated through a numerical example.