Composite disturbance rejection control of Korteweg-de Vries-Burgers equation under event-triggering mechanism

This article studies a composite disturbance rejection control strategy containing disturbance-observer-based control (DOBC) and H control for a Korteweg-de Vries-Burgers (KdVB) equation under the point measurements. Here two types of disturbances are considered: one is described by an exogenous system, and the other is an external disturbance in the L²-sense. To significantly reduce the transmitted measurements, an event-triggering mechanism (ETM) is utilized. In the framework of networked control system, quantization and communication delay of the measured signals are also taken into account. Sufficient regional exponential stability conditions are established by linear matrix inequalities (LMIs). The effectiveness of the proposed control law is verified by simulation results.