Event-triggered control of nonminimum phase-switched systems under denial-of-service attacks

Khalil Jouili; Mongi Ben Moussa; Monia Charfeddine; Khalil Jouili; Mongi Ben Moussa; Monia Charfeddine

doi:10.3934/math.20261356

AIMS Mathematics

2026, Volume 11, Issue 10: 34805-34848. doi: 10.3934/math.20261356

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Research article

Event-triggered control of nonminimum phase-switched systems under denial-of-service attacks

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

Received: 13 August 2026 Revised: 23 September 2026 Accepted: 09 October 2026 Published: 26 October 2026
MSC : 93C10, 93C30, 93D21

This work addresses the problem of robust stabilization for uncertain switched nonlinear systems with nonminimumphase behavior subject to aperiodic denial-of-service (DoS) attacks. A new event-triggered sliding mode control scheme is developed that simultaneously handles unstable internal dynamics and intermittent communication blockages. The method combines a mode-dependent event-triggered mechanism (MDETM) with a sample-and-hold control input, substantially reducing communication requirements. Each nonminimum phase subsystem is equipped with a virtual sliding manifold designed to stabilize its unstable internal dynamics. Control updates are triggered only when a dynamic threshold—function of the sliding variable and the disturbance bound—is violated. Between triggers, the control signal is held constant. Using piecewise Lyapunov functions and the admissible edge-dependent average dwell time (AED-ADT) approach, semiglobal input-to-state stability (ISS) is established despite external disturbances and aperiodic DoS attacks. Unlike existing event-triggered sliding mode control schemes, which typically assume minimum-phase dynamics or neglect the internal dynamics, the proposed approach explicitly stabilizes the zero dynamics of nonminimum phase switched systems while remaining resilient to aperiodic DoS attacks. The mechanism also prevents Zeno behavior by enforcing a positive minimum interevent time. Simulation results on a benchmark system confirm the robustness and efficiency of the proposed strategy.
Citation: Khalil Jouili, Mongi Ben Moussa, Monia Charfeddine. Event-triggered control of nonminimum phase-switched systems under denial-of-service attacks[J]. AIMS Mathematics, 2026, 11(10): 34805-34848. doi: 10.3934/math.20261356

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Abstract

This work addresses the problem of robust stabilization for uncertain switched nonlinear systems with nonminimumphase behavior subject to aperiodic denial-of-service (DoS) attacks. A new event-triggered sliding mode control scheme is developed that simultaneously handles unstable internal dynamics and intermittent communication blockages. The method combines a mode-dependent event-triggered mechanism (MDETM) with a sample-and-hold control input, substantially reducing communication requirements. Each nonminimum phase subsystem is equipped with a virtual sliding manifold designed to stabilize its unstable internal dynamics. Control updates are triggered only when a dynamic threshold—function of the sliding variable and the disturbance bound—is violated. Between triggers, the control signal is held constant. Using piecewise Lyapunov functions and the admissible edge-dependent average dwell time (AED-ADT) approach, semiglobal input-to-state stability (ISS) is established despite external disturbances and aperiodic DoS attacks. Unlike existing event-triggered sliding mode control schemes, which typically assume minimum-phase dynamics or neglect the internal dynamics, the proposed approach explicitly stabilizes the zero dynamics of nonminimum phase switched systems while remaining resilient to aperiodic DoS attacks. The mechanism also prevents Zeno behavior by enforcing a positive minimum interevent time. Simulation results on a benchmark system confirm the robustness and efficiency of the proposed strategy.

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