Sampled-data event-triggered control with sampling-independent positive guarantees on inter-event times

To fit with a digital environment in networked control systems, sampled -data event -triggered control (ETC) has been proposed where the event -triggering mechanisms sense and process information only at discrete sampling instants (not necessarily periodically). One deficiency in the previous study on sampled -data ETC is the lack of analysis on transmission performance, which yields the potential occurrence of an undesirable phenomenon that the minimum inter -event time is always equal to the minimum inter -sampling interval, no matter how small the latter is. To overcome this drawback, in this paper, we propose a novel sampled -data ETC scheme such that the lower bounds of inter -event times have sampling -independent positive guarantees. A linear networked control system is considered under observer -based controllers, external disturbances, and multiple communication channels. The improved transmission performance is due to the utilization of dynamic event -triggering conditions and some mean -rate error signals, which are the ratios between network -induced errors and some time -increasing functions. After modeling the closed -loop dynamics into a hybrid system, sufficient conditions on the upper bound of inter -sampling intervals and parameters in ETC are provided to ensure input -to -state stability (rather than its practical version) and sampling -independent positive guarantees simultaneously. Furthermore, a new tradeoff relationship between the sampling and transmission performance is revealed: a faster sampling frequency is conducive to improving interevent times. Finally, a linearized model of an inverted pendulum is simulated to illustrate the efficiency and feasibility of the obtained results. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.