Adaptive Event-Triggered Control for Uncertain High-Order Fully Actuated System

In this brief, the adaptive event-triggered control problem is investigated for a class of uncertain high-order fully actuated (HOFA) systems. Different from the existing works on HOFA systems, this brief considers the unknown control matrix function, which only requires its maximum and minimum eigenvalues to be unknown a priori. To deal with the problem, the adaptive technique is applied to estimate the unknown parameters. To save the energy in signal transmission, the controller and its event-triggered mechanism are co-designed. By means of the Lyapunov stability theory, it is rigorously proved that the proposed controller can render that all signals of the closed-loop system are bounded. Finally, the effectiveness of the theoretical result is demonstrated on the basis of the numerical simulation on the RLC circuit.