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

This paper studies the event‐triggered (ET) H∞ 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 L2‐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.