Fuzzy-model-based H∞ performance analysis of nonlinear packetized networked control systems

This paper is concerned with fuzzy-model-based H_∞ performance analysis of nonlinear packetized networked control systems (NCSs) with time-varying transmission delays and transmission intervals based on a random-delay approach. The real-time distribution of input delays resulting from transmission delays and intervals is taken into account and modeled as a dependent and nonidentically distributed process. A randomly switched Takagi-Sugeno (T-S) fuzzy system with multiple input-delay subsystems is proposed to model the nonlinear packetized NCSs. Based on an improved Lyapunov-Krasovskii method, which appropriately exploits the real-time distribution of input delays in estimating cross-product integral terms as well as the characteristics of T-S fuzzy model, new delay-distribution-dependent sufficient conditions are derived for the deterministic H_∞ performance of the overall systems. Numerical examples are presented to substantiate the effectiveness and advantage of our results.