Robustness Study for Networked Event-Based Control System Under Regular Quantization With Hysteresis Sampling

In this article, the robustness against the apparition of limit cycle oscillations induced by a class of event-based sampling used in networked control systems is analyzed. Concretely, the regular quantization with hysteresis sampling strategy is considered in this article. A robustness measure is proposed to characterize the apparition of limit cycle oscillations. This measure allows analyzing the stability of networked control systems in the frequency domain, which enables to use it in combination with other analysis and design tools available in this field. In this sense, this article shows the applicability of the proposed margin to evaluate the performance of some well-known proportional integral derivative (PID) design methods when applied to networked control systems. This article also includes an experimental part in which the validity of the proposed study is proved.