Self-Triggered H∞Control for Uncertain Nonlinear Networked Control Systems Under Dynamic Quantization and Packet Dropout

This paper aims to address the problem of packet dropout and limited bandwidth in networked control systems (NCSs) and takes Lyapunov stability theory and linear matrix inequality (LMI) as basic tools. Then, the output feedback H∞control problem for a class of discrete-time nonlinear NCSs with dynamic quantization and packet dropout via the self-triggered mechanism (STM) is investigated. The Takagi-Sugeno (T-S) fuzzy model is introduced to represent the considered discrete-time nonlinear system. The dynamic quantization strategy in which the quantization parameters can be on-line adjusted is designed, and a Bernoulli process to represent the packet dropout phenomenon is introduced. In addition, the STM which possesses the distinctive feature of predicting the next triggered instant according to the current output of the system is presented. A condition of the closed-loop stability for NCS and the existence condition of the observer-based controller satisfying H∞performance are obtained by applying the Lyapunov method and cone complementary linearization approach, respectively. Finally, a simulation of continuous stirred tank reactor system is carried out to verify the effectiveness of the provided method.