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Sampling Theorem
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In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
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Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
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A Sampled-Data-Based Secure Control Approach for Networked Control Systems Under Random DoS Attacks.
IEEE Transactions on Cybernetics
|January 25, 2024
Summary
This study enhances networked control system (NCS) security against denial of service (DoS) attacks. A new controller uses attack probability and packet dropout data for improved stability.
Area of Science:
- Control Engineering
- Networked Control Systems (NCSs)
- Cybersecurity in Control Systems
Background:
- Networked control systems (NCSs) are vulnerable to random denial of service (DoS) attacks, compromising stability.
- Existing methods for analyzing random attacks lack the ability to capture maximum attack duration.
- Understanding attack characteristics is crucial for designing robust security controllers in NCSs.
Purpose of the Study:
- To analyze H∞ stability of NCSs subjected to random DoS attacks.
- To design a sampled-data-based state feedback security controller to counteract DoS attack influences.
- To develop a framework that integrates random DoS attacks and time-varying delays within a unified model.
Main Methods:
- Introduction of a logical processor to capture the maximum duration of DoS attacks.
- Utilizing periodic sampling techniques to calculate attack occurrence probability and maximum allowable packet dropouts.
- Development of a novel networked sampled-data system model and a DoS-dependent security controller.
- Employing a Lyapunov-Krasovskii functional to establish the relationship between stability and attack characteristics.
Main Results:
- A new method for analyzing NCS stability under DoS attacks by quantifying attack duration and probability.
- Design of a state feedback controller that effectively utilizes attack information to mitigate instability.
- Demonstration of mean square asymptotic stability through a Lyapunov-Krasovskii functional approach.
- Validation of the control strategy's effectiveness in practical engineering applications.
Conclusions:
- The proposed sampled-data-based security controller effectively enhances the H∞ stability of NCSs under random DoS attacks.
- The developed framework provides a unified approach to handle both random DoS attacks and associated time-varying delays.
- The findings offer a reliable and applicable control strategy for securing NCSs against cyber-physical threats.

