Quantized event-triggered H∞ control of linear networked systems with time-varying delays and packet losses

This paper studies the event-triggered (ET) H-infinity control of linear networked systems based on static output-feedback. An emulation-based stabilization of the networked system is investigated under the constraints such as (i) quantizations, (ii) network-induced delays, (iii) external disturbances, and (iv) packet losses. In particular, output measurement and control input quantizations, lower and upper bounds of the network-induced delays, bounded external disturbances, and packet losses are carefully taken into account. The process of stability analysis has three steps. In the first step, a quantized ET control is defined, and then three sector-bound methods for logarithmic quantization are formulated. In the second step, the ET-mechanism is described with an input delay model. Based on the model, for two approaches, namely, switching-ET and periodic-ET, the criteria for the exponential stability and L-2-gain analysis of perturbed networked system are established, respectively. In the third step, a constraint for packet loss effect is provided. In summary, the stability analysis is based on linear matrix inequalities (LMIs) through a Lyapunov-Krasovskii functional method. Finally, the simulation results are given to evaluate the validation of the analysis using two benchmark examples.