Adaptive periodic event-triggered control for switched p-normal nonlinear systems via output feedback

For a class of switched p-normal nonlinear systems with unknown homogeneous growth rate and uncertain output function, the adaptive periodic event-triggered output-feedback control problem is studied in this article. The idea of period event-triggering control is extended to switched p-normal systems for the first time. Simply relying on the discrete output information on sampling instants, a sampled-data reduced-order observer is designed to estimate the unknown states. The dynamic gain technique is introduced to cope with the design difficulties caused by the unknown homogeneous growth rate. Choosing a sampling period in point, the closed-loop system can be guaranteed to be globally asymptotically stable by the developed triggering controller under arbitrary switchings. The data transmission is effectively reduced and the potential Zeno behaviour for the continuous triggering is eliminated. Finally, simulations about a numerical example and a practical example are shown to verify the effectiveness of the proposed control scheme.