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Updated: Jul 23, 2025
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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
Published on: May 8, 2021
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Safe control of logical control networks with random impulses.
Rongpei Zhou1, Yuqian Guo2, Yuhao Wang1
1School of Information Engineering, Nanchang University, Nanchang, Jiangxi, 330031, China.
Summary
This study introduces a hybrid-index model for safe control of random impulsive logical control networks. It establishes conditions for problem solvability and proposes algorithms for designing feedback controllers to ensure safe operation.
Area of Science:
- Control Theory
- Network Science
- Stochastic Systems
Background:
- State-dependent random impulsive logical control networks (RILCNs) present complex challenges in control system design.
- Ensuring the safety and stability of such networks is critical for reliable operation.
Purpose of the Study:
- To investigate safe control problems for RILCNs within a hybrid-index model framework.
- To establish necessary and sufficient conditions for the solvability of these safe control problems.
- To develop algorithms for designing feedback controllers for RILCNs.
Main Methods:
- Utilizing a hybrid-index model and the ξ-domain method.
- Constructing a transition probability matrix for system analysis.
- Employing state-space partition techniques for controller design.
Main Results:
- Necessary and sufficient conditions for the solvability of safe control problems were established.
- Two algorithms were proposed for designing feedback controllers.
- The effectiveness of the proposed methods was demonstrated through examples.
Conclusions:
- The developed hybrid-index model and control algorithms effectively address safe control problems in RILCNs.
- The findings provide a theoretical foundation and practical tools for controlling complex random impulsive systems.
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