Event-triggered impulsive observers for continuous-time dynamical systems

Abstract

This paper studies the issue of impulsive observers via event-triggered impulsive control (ETIC) for continuous-time dynamical systems (CDS). By using three levels of event conditions, the schemes of output-based ETIC including sampling-based ETIC are designed and full-order event-triggered impulsive observers are obtained. The impulse frequency and control strength of ETIC are also estimated. Moreover, in the case of CDS with unknown input, the notion of impulsive observer with K-asymptotic gain is proposed. And it is shown that the state from the observer can track the state of observed system within an error bound and the impulsive observer is with K-asymptotic gain. Specifically, when the unknown input trends to zero, the track can be completely achieved. Finally, based on the chaotic Lorenz system, an example is given to demonstrate the effectiveness of the theoretical results. And it is shown that for a same observer via impulsive control, the designed ETIC can achieve better performances with much lower impulse frequency and much less control strength than the classic impulsive control.