Event-triggered variable structure control

Abstract

This paper presents a novel variable structure control (VSC) algorithm of event-triggered (ET) type, capable of dealing with a class of nonlinear uncertain systems. By virtue of its ET nature, the algorithm can be used as the kernel of a robust networked control system. The design objective is indeed to reduce the number of transmissions over the network. The proposed ET-VSC also guarantees appropriate robustness properties, even in the presence of delayed transmissions. It is theoretically analysed, proving that the sliding variable associated with the controlled system results in being ultimately confined into a boundary layer of prescribed amplitude. As a consequence, it is proved that the state of the considered uncertain nonlinear system is ultimately bounded as well. Moreover, a lower bound for the time elapsed between consecutive triggering events is provided, which excludes the notorious Zeno behaviour. Finally, the designed ET-VSC control scheme is satisfactorily assessed in simulation. ARTICLE HISTORY

A Third order Semi-Implicit Homogeneous differentiator: Experimental Results

“…Moreover, it will be very interesting to adapt the Taylor expansion corrective term proposed in [17] for the explicit Euler differentiator. In addition, one can also consider not only a regular sampling but also the self and event triggering case [18], [24], [25].…”

Dynamic event‐triggering based design of sliding mode control

“…18,19,[22][23][24] In addition, our result also shows that the system trajectories can be bounded within any arbitrary bound around the origin. The difference between the existing technique 20,23,[25][26][27][28][29] and the proposed one is that the convergence rate of system trajectories to the sliding hyperplane is shown by incorporating the dynamic variable into the analysis in the dynamic event-triggering mechanism. This results in a long time for the event generation in the dynamic case.…”

“…Recently, the studies by authors of this article show that a comparable steady-state performance for the system can be achieved by the event-triggering based SMC. [18][19][20] Here, the control law is redesigned by considering the inter sampling behavior of state trajectory such that the desired stability criteria can be maintained. In this design, the switching gain of SMC explicitly depends on the triggering parameters of the event condition to guarantee stability.…”

Event-triggered boundary quantization control for flexible manipulator based on partial differential equations dynamic model

“…In Zhang et al (2019a), intermittent state information is used to deal with communication-aware absolute stabilization problems of Lur’e systems. In addition, event-triggered control combined with other control methods is used to solve nonlinear problems, such as variable structure control (VSC) algorithm of event-triggered type (Cucuzzella et al, 2020), H ∞ proportional-integral-derivative (PID) output-feedback control under event-triggered protocols (Zhao et al, 2018), and event-triggered adaptive fuzzy tracking control (Li et al, 2018). Compared with the existing event-triggered control (Adloo et al, 2019; Ni et al, 2015; Yang et al, 2019; Zuo et al, 2018), the novelty of this research is embodied in the following: On the premise of meeting the communication requirements, it combines event-triggered control and input quantization control for the flexible manipulator system described by the PDE model to achieve the goals of vibration suppression and angle tracking.…”