1. Guaranteed cost for an event-triggered consensus strategy for interconnected two time-scales systems with structured uncertainty
- Author
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Yan Lei, Irinel-Constantin Morarescu, Jiang-Wen Xiao, Yan-Wu Wang, Huazhong University of Science and Technology [Wuhan] (HUST), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), and ANR-18-CE40-0010,HANDY,Systèmes Dynamiques Hybrides et en Réseau(2018)
- Subjects
0209 industrial biotechnology ,Mathematical optimization ,Computer science ,Control (management) ,02 engineering and technology ,020901 industrial engineering & automation ,Index Terms-Event-triggered control ,Order (exchange) ,Interaction network ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,0202 electrical engineering, electronic engineering, information engineering ,Electrical and Electronic Engineering ,Protocol (object-oriented programming) ,Event triggered ,Ideal (set theory) ,020208 electrical & electronic engineering ,Sampling (statistics) ,Computer Science Applications ,Human-Computer Interaction ,Transmission (telecommunications) ,Control and Systems Engineering ,interconnected systems ,guaranteed cost ,two-time-scale ,Software ,Information Systems - Abstract
International audience; This paper proposes the design of an event-triggered control strategy for consensus of interconnected two-time scales systems with structured uncertainty. The control design under consideration ensures also that consensus is achieved with an overall guaranteed cost. Since each system involves processes evolving on both fast and slow time scales, two Zeno-free event-triggered mechanisms are designed to independently decide the sampling and transmission instants for the slow and fast states respectively. As the first step, we design an event-triggering consensus protocol in the ideal/nominal case when the interconnected systems are not affected by uncertainties and the interactions happen over a fixed interaction network. Next, the results are extended in order to take into account structured uncertainties affecting the systems dynamics. At this step, we go further and we provide sufficient conditions for event-triggering consensus with a guaranteed overall cost. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed theoretical results.
- Published
- 2021