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Articles

Event-triggered variable structure control

ORCID Icon, &
Pages 252-260 | Received 19 Feb 2018, Accepted 22 Jan 2019, Published online: 08 Feb 2019
 

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.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Michele Cucuzzella http://orcid.org/0000-0003-1677-3289

Notes

1 The case in which the conventional assumptions on the knowledge of the uncertainty bounds are relaxed (Furtat, Orlov, & Fradkov, Citation2019) is left as an interesting future endeavour.