Event-triggered adaptive control for nonlinearly parameterized higher-order systems with sensor fault

Abstract

The event-triggered adaptive control issue for a class of nonlinearly parameterized higher-order systems with sensor fault is investigated in this article. The difficulty lies in how to replace the actual signal with the sensor fault output signal for control design and how to use adaptive technology to deal with the resulting uncertainties and the inherent unstructured uncertainties of the system at the same time. By introducing subtle state transformations, revamping integral Lyapunov-functions and combining parameter separation technology, we successfully deal with the uncertainties and sensor fault existing in the system by constructing a continuous adaptive event-triggered controller. Different from the existing results, the controller designed in this paper by means of state feedback and event-triggered mechanism ensures all signals are semiglobally uniformly ultimately bounded and the theoretical analysis also shows that Zeno phenomenon does not exist. Finally, the control effect is tested by selecting two simulation examples reasonably.