Robust Dynamic Periodic Event-triggered Control of Lur’e Systems
This paper addresses the robust stabilization of continuous-time uncertain Lur’e systems with dynamic periodic event-triggered control. Based on Lyapunov arguments and the looped-functional technique, we propose constructive conditions expressed in the form of linear matrix inequalities to globally stabilize the origin of the closed-loop system. These conditions are cast into a convex optimization problem to systematically co-design the control law gains and the triggering parameters aiming at reducing the number of control updates. A numerical example illustrates the proposed method.
Authors
- Carlos Lisboa (ORCID: https://orcid.org/0000-0003-2030-942X)
- J.M. Gomes da Silva (ORCID: https://orcid.org/0000-0002-6275-2895)
- L. G. Moreira (ORCID: https://orcid.org/0000-0003-3482-0077)
- Jeferson Vieira Flores (ORCID: https://orcid.org/0000-0003-2188-4661)
- Sophie Tarbouriech (ORCID: https://orcid.org/0000-0002-0816-5614)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Universidade Federal do Rio Grande do Sul (BR)
- Université Fédérale de Toulouse Midi-Pyrénées (FR)
- Laboratoire d'Analyse et d'Architecture des Systèmes (FR)
Publication Details
- Journal
- IFAC-PapersOnLine
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1016/j.ifacol.2025.10.126
- Primary Topic
- Stability and Control of Uncertain Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00