Input-to-State Stability of Nonlinear Systems Using Observer-Based Event-Triggered Impulsive Control

In this article, we are concerned with the input-to-state stability (ISS) problem for a class of nonlinear systems with exogenous disturbances, where the states of the system are not fully available. Based on the idea of event-triggered control (ETC) strategy, a novel event-triggered mechanism (ETM) is designed to reduce the burden of the communication and controller updating with guaranteed performance requirement. Correspondingly, an observer-based impulsive controller coupled with sample control is proposed such that the controlled system is ISS under the designed ETM. Moreover, the possible accumulations of triggered instants (i.e., Zeno behavior) in the proposed control strategy are excluded. The controller gains and ETM parameters are co-designed by solving linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the obtained theoretical results.

Automated summary

This article discusses the input-to-state stability (ISS) problem for nonlinear systems with exogenous disturbances, where the states of the system are not fully available. A novel event-triggered mechanism (ETM) is designed based on event-triggered control (ETC) strategy to reduce communication and controller updating burden, ensuring guaranteed performance. The proposed observer-based impulsive controller coupled with sample control achieves ISS under the designed ETM, with excluded accumulations of triggered instants (Zeno behavior). Controller gains and ETM parameters are co-designed using linear matrix inequalities (LMIs), and a numerical example is provided to demonstrate theoretical results effectiveness.