Adaptive Event-triggered Control for Discrete-time Networked Control Systems with Actuator Faults and Nonlinearity

Abstract

In this paper, the problem on adaptive event-triggered controller design is investigated for a class of discrete-time networked control systems (NCSs), in which parameter uncertainties, actuator faults, and nonlinearity are simultaneously considered. Firstly, in order to reduce the transmission amount, an improved adaptive eventtriggered mechanism (AETM) is proposed and it can dynamically adapt to the controlled NCSs. Secondly, based on the designed AETM, a closed-loop system model is derived with involving network-induced delays. Thirdly, by choosing an augmented Lyapunov-Krasovskii functional (LKF) and using some effective summation inequalities, two less conservative conditions are derived to guarantee the desired stability, in which the co-designs on AETM parameter and controller gain are presented in terms of linear matrix inequalities (LMIs). Finally, two examples with simulations and comparisons are given to illustrate the effectiveness of our proposed methods.