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Peer-reviewedCC BY 4.0Mathematics

Attack-Aware Event-Triggered Impulsive Control for Switched Nonlinear Systems via Multi-Diffeomorphism

  1. 1Laboratory of Advanced Systems, Polytechnic School of Tunisia (EPT), B.P. 743, Marsa 2078, Tunisia
  2. 2Departement of Physics, College of Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia

Abstract

This paper develops a unified hybrid control architecture for switched nonlinear systems under aperiodic denial-of-service (DoS) attacks with non-minimum phase internal dynamics. The methodology relies on three technical pillars: multi-diffeomorphism input-output linearization, a mode-dependent event-triggered impulsive mechanism, and an attack-aware switching rule. The latter maximizes a resilience index during DoS-active intervals, while the event-triggered mechanism reduces communication updates, exploits mode information, and enables rapid correction after attacks. We derive constructive sufficient conditions based on AED-ADT and DoS parameters that guarantee ISS with an explicit exponential decay rate, and establish Zeno-free operation via a uniform positive lower bound on inter-event intervals. We also address the case where a DoS attack coincides with a switching instant and show that the architecture remains applicable. Validation via simulations on a nonholonomic mobile robot and a two-link robotic manipulator confirms superior convergence, resource efficiency, and robustness over baselines.

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BibTeX
@article{jouili2026attackaware,
  title = {{Attack-Aware Event-Triggered Impulsive Control for Switched Nonlinear Systems via Multi-Diffeomorphism}},
  author = {Khalil Jouili and Mongi Ben Moussa},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203742},
  url = {https://www.mdpi.com/2227-7390/14/20/3742},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Attack-Aware Event-Triggered Impulsive Control for Switched Nonlinear Systems via Multi-Diffeomorphism
AU  - Khalil Jouili
AU  - Mongi Ben Moussa
PY  - 2026
DA  - 2026/10/14
JO  - Mathematics
DO  - 10.3390/math14203742
UR  - https://www.mdpi.com/2227-7390/14/20/3742
AB  - This paper develops a unified hybrid control architecture for switched nonlinear systems under aperiodic denial-of-service (DoS) attacks with non-minimum phase internal dynamics. The methodology relies on three technical pillars: multi-diffeomorphism input-output linearization, a mode-dependent event-triggered impulsive mechanism, and an attack-aware switching rule. The latter maximizes a resilience index during DoS-active intervals, while the event-triggered mechanism reduces communication updates, exploits mode information, and enables rapid correction after attacks. We derive constructive sufficient conditions based on AED-ADT and DoS parameters that guarantee ISS with an explicit exponential decay rate, and establish Zeno-free operation via a uniform positive lower bound on inter-event intervals. We also address the case where a DoS attack coincides with a switching instant and show that the architecture remains applicable. Validation via simulations on a nonholonomic mobile robot and a two-link robotic manipulator confirms superior convergence, resource efficiency, and robustness over baselines.
SN  - 2227-7390
ER  -