Adaptive Event-Triggered H∞ Control for Networked Control Systems With Actuator Saturation and Random Nonlinearities

Abstract

This paper investigates the problem of the adaptive event-triggered control for networked nonlinear systems with actuator saturation using dynamic output feedback controller (DOFC). In view of adaptive event-triggered mechanism (AETM), a model of networked control systems (NCSs) with actuator saturation and random nonlinearities is first established. Then, by constructing the Lyapunov–Krasovskii functional (LKF), sufficient condition for asymptotically stable with an $H_\infty $ performance index is derived in terms of linear matrix inequalities (LMIs). In the process, through combining the Wirtinger-based integral inequality and the extended reciprocally convex matrix inequality (ERCMI), the delay-dependent integral terms obtained by the derivative of the constructed LKF are estimated. Based on the above results, the DOFC gains and corresponding AETM parameter are co-designed. Finally, two numerical examples are demonstrated to illustrate the effectiveness of the proposed method.