This study addresses the leader-tracking problem for linear multi-agent systems in the presence of both parameter model uncertainties and time-varying communication delays. To solve the robust output consensus problem, a delayed distributed proportional–integral–derivative control is proposed and the overall closed-loop stability is proven by exploiting the Lyapunov–Krasovskii theory. Delay-dependent robust stability conditions are given via linear matrix inequalities which allow the proper tuning of robust control gains. The effectiveness of the theoretical derivation is confirmed through a numerical analysis in the practical application domain of cooperative driving for connected vehicles.
Distributed robust output consensus for linear multi-agent systems with input time-varying delays and parameter uncertainties / Fiengo, Giovanni; Lui, Dario Giuseppe; Petrillo, Alberto; Santini, Stefania. - In: IET CONTROL THEORY & APPLICATIONS. - ISSN 1751-8644. - 13:2(2019), pp. 203-212. [10.1049/iet-cta.2018.5367]
Distributed robust output consensus for linear multi-agent systems with input time-varying delays and parameter uncertainties
Lui, Dario Giuseppe;Petrillo, Alberto;Santini, Stefania
2019
Abstract
This study addresses the leader-tracking problem for linear multi-agent systems in the presence of both parameter model uncertainties and time-varying communication delays. To solve the robust output consensus problem, a delayed distributed proportional–integral–derivative control is proposed and the overall closed-loop stability is proven by exploiting the Lyapunov–Krasovskii theory. Delay-dependent robust stability conditions are given via linear matrix inequalities which allow the proper tuning of robust control gains. The effectiveness of the theoretical derivation is confirmed through a numerical analysis in the practical application domain of cooperative driving for connected vehicles.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.