Fuzzy-model-based stabilization of nonlinear packetized networked control systems

This paper is concerned with fuzzy-model-based stabilization of nonlinear packetized networked control systems (NCSs) with time-varying transmission delays and transmission intervals based on a delay-distribution approach. The real-time distribution of input delays is modeled as a dependent and nonidentically distributed process. A randomly switched Takagi-Sugeno fuzzy system with multiple input-delay subsystems is proposed to model the nonlinear packetized NCSs. Based on an improved Lyapunov-Krasovskii method, new delay-distribution-dependent sufficient conditions are derived for the deterministic asymptotical stability of the overall systems. The resulting controller design method can be formulated as an iterative linear optimization algorithm with LMI constraints. Numerical examples are presented to substantiate the advantage of our results.