Event-Triggered Hybrid Impulsive High-Gain Observer Design for Triangular Lipschitz Non-Affine Nonlinear Systems via Output Compensation Injector

In this brief, an event-triggered hybrid impulsive high-gain observer (ET-HIGHO) is proposed for a class of triangular Lipschitz non-affine nonlinear systems. The proposed observer structure consists of a continuous observer and an output compensation injector. The output compensation injector is exploited to compensate for output errors in the continuous-time observer. The event-triggered mechanism is designed by replicating the observer structure on the sensor side to compensate for available information. The asymptotic stability of the observer has been proven using Lyapunov functions. And the Zeno-free phenomenon of the event-triggered mechanism is guaranteed. The effectiveness of the proposed observer has been demonstrated through numerical simulations and performance comparisons with Absolute Error Event-Triggered Observer, Dynamic Event-Triggered Observer and the Performance-based Static Event-Triggered Observer in the literature.