Data‐driven control of dynamic event‐triggered systems with delays

• Published in: International journal of robust and nonlinear control Vol. 33; no. 12; pp. 7071 - 7093
• Main Authors: Wang, Xin, Sun, Jian, Berberich, Julian, Wang, Gang, Allgöwer, Frank, Chen, Jie
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.08.2023
• Subjects: Control systems design; data‐driven control; event‐trigger; Linear systems; sampled‐data systems; stability
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.6740

This article studies data‐driven control of unknown sampled‐data linear systems with communication delays under an event‐triggering transmission mechanism. While event‐triggered control has received much attention in the existing literature, its design and implementation typically require detailed model knowledge. Due to the difficulties in finding accurate models and the abundance of data in many practical applications, we propose a novel data‐driven event‐triggered control scheme for unknown, delayed systems with theoretical guarantees. To this end, as a first step, a model‐based stability condition for the resulting event‐triggered time‐delay system is established using a novel looped‐functional approach. Combining this model‐based condition with the data‐driven representation of linear systems, a data‐based stability condition is derived. Further, methods for co‐designing the controller gain and the event‐triggering matrix are subsequently provided without using any prior knowledge of the system matrices. Finally, numerical examples are presented to corroborate the merits of the proposed data‐driven event‐triggered control schemes relative to existing results.