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Extended dissipativity-based sliding mode security control design for cyber-physical distributed parameter systems: the finite time case
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DOI：10.1080/00207721.2026.2681133.png)
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Abstract
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This paper addresses the finite-time extended dissipative analysis for a class of cyber-physical distributed parameter systems under the impact of cyber attacks, external disturbances and input time-varying delays. Initially, the input signals that are being transmitted over a communication network are assumed to be susceptible to dual cyber attacks, namely deception and denial-of-service attacks. This premise strengthens the overall security of the system. Specifically, leveraging insights from the sliding mode theory, an integral sliding surface is established, followed by the development of a delayed sliding mode security controller. Through the proposed control framework and finite-time properties, this study aims to drive the system state trajectories onto the designated sliding surface within a specific interval by mitigating the effects of vulnerable factors. Furthermore, a set of delay dependant sufficient requirements is developed by formulating a delay-product type augmented Lyapunov–Krasovskii functional for ensuring that the system under consideration achieves finite-time boundedness and satisfies the extended dissipative performance. In addition, the reachability of the established sliding mode surface is demonstrated in a finite time. At last, the applicability of the proposed control mechanism are demonstrated by two numerical examples, one of which involves an illustration of a steam-jacketed tubular heat exchanger model.
Keywords:
Cyber-physical distributed parameter systems
sliding mode control
finite-time extended dissipativity
cyber attacks
input delay and external disturbances
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