Decentralised quantised fuzzy control for large-scale T-S discrete delay systems

Abstract

A class of fuzzy large-scale nonlinear discrete systems with local quantisers is examined. This fuzzy system has unknown-but-bounded couplings and delays. Of interest are the issues of analysis and design related to decentralised fuzzy feedback structure with H∞ measure. It is established that the resulting closed-loop fuzzy system exhibits delay-dependent asymptotic stability with disturbance-attenuation level. In addition, all the computations are performed at the subsystem level using a fuzzy-basis-dependent Lyapunov-Krasovskii functional. Using quantised output measurements, a local procedure is constructed for tuning the quantiser parameters to achieve similar asymptotic stability and guaranteed performance. Special cases of interest are derived and simulation results on typical applications are provided.