Robust Stability of Networked Linear Control Systems With Asynchronous Continuous- and Discrete-Time Event-Triggering Schemes

Abstract

This article presents a unified framework for the stability and performance analysis of networked linear control systems with asynchronous continuous-time or discrete-time event-triggering. In the networked system, the multiple outputs of the plant and the controller are independently transmitted via a single shared or multiple channels based on local event-triggering conditions. Regarding the restrictions of physical devices, in the event-checking procedure, an inactive period of time is allowed after each event of data sending. So the Zeno behaviors in events are effectively avoided. In terms of algebraic properties of state-space models and time delays, we present sufficient conditions for asymptotic stability and guaranteed L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> gain performance and characterize the robustness of the system in a time-delayed networked scenario with independent event-triggered sending of each output. The event-triggered approach provides the potential benefit of reduced number of requests for sending data via networks. A simulation example is given to verify the proposed methods.