Event-triggered uniform ultimate bound control for linear systems with time-varying delay

Abstract

This paper investigates an effective event-triggered control for linear systems with time-varying delay. For reducing the sampled data transmission amount, a novel event-trigger is proposed wherein a state-independent threshold is involved. For guaranteeing uniformly ultimately bounded stability, an event-triggered feedback control law is proposed. By aid of a new free-weight matrix technique, the event-trigger and control co-design method is conveniently obtained. By pre-specifying the threshold of the event-trigger, the event-triggered frequency and the ultimate state convergence region can be simultaneously regulated. In addition, the convergence rate of closed-loop system is pre-specifiable as well. More significantly, the minimal event-triggering time interval is given. During that time interval, the event-trigger can not be violated, thus the Zeno phenomena is excluded naturally. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

Event-triggered-based adaptive sliding mode control for networked linear control systems

“…In this scheme, the transmitted data can be significantly reduced while retaining a satisfactory closed-loop performance (Heemels et al, 2011). Event-triggered-based control has been studied widely, and many valuable results can be found in the literature (Cui and Xu, 2019; Peng et al, 2021; Yue et al, 2013; Zhao et al, 2021).…”

Event-triggered robust model predictive control for Lipschitz nonlinear networked control systems subject to communication delays

“…ETC loops consist of a feedback controller, which calculates the control signal, and an event-generator module that determines when the control signal needs to be updated (Heemels et al, 2012). Several articles (Årzén, 1999; Borgers and Heemels, 2014; Cui and Xu, 2019; Donkers and Heemels, 2012; Gommans, et al, 2014; Heemels et al, 2011; Li et al, 2016; Mazo and Tabuada, 2011; Lunze and Lehmann, 2010; Sekhar, 2016; Shen et al, 2017; Tabuada, 2007; Wang and Lemmon, 2009; Zuo et al, 2016) have dealt with ETC, introducing various types of ETC and relevant aspects with highly varied performance criteria for linear and nonlinear control systems.…”