Practical Adaptive Event-triggered Finite-time Stabilization for A Class of Second-order Systems

This paper considers the practical adaptive event-triggered finite-time stabilization problem for a class of second-order systems. First, by using the adding a power integrator (API) technique, a novel adaptive event-triggered control method is proposed to assure the practical finite-time stability of the closed-loop system. Under the constructed adaptive law, the control gain changes dynamically according to whether the state enters or leaves the predefined domain. In addition, via utilizing the Lyapunov method, the practical finite-time stability (PFTS) of the closed-loop system is proved, and the control system does not exist in the Zeno behavior. Finally, the effectiveness of the designed algorithm is verified by the simulation results.