Stability Analysis of Piecewise Affine Networked Control Systems Under Aperiodic Sampling
Abstract
This paper establishes an exponential stability analysis framework for piecewise affine network control systems based on integral quadratic constraints, and adopts the discrete-time method to study the aperiodic sampling problem under time-varying delay. The work of this article has three aspects. Firstly, discretize the continuous-time system to obtain an accurate discrete representation. Secondly, transform the model into a feedback interconnection system with construction operators to lay a theoretical foundation for stability analysis. Thirdly, the sufficient conditions for the exponential stability of the piecewise affine network control system were derived. Finally, the method based on integral quadratic constraints was numerically verified, providing a new theoretical tool to analyze the stability of networked piecewise affine systems.
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- Authors
- Wang, X., Chen, G., Wang, Z., & Xia, J.
- Affiliations
- Liaocheng University (CN)
- University of Science and Technology Beijing (CN)
- Venue
- IEEE Control Systems Letters
- Published
- 2025
- Volume
- 9
- Pages
- 2073-2078
- ISSN
- 2475-1456 (ISSN-L)
- OpenAlex
- W4412721973
- Cited by
- 2
- References
- 23
- Citations by year
- 2026: 2
- FWCI
- 0.74
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Control Systems Letters (publishedVersion)
- Funders
- National Natural Science Foundation of China (62373177, 62373178)
- Higher Education Institution of Shandong Province Youth Innovation Team Program (2022KJ108)
- Young Experts of Taishan Scholar Project (tsqn202211174)
- Research Fund for the Taishan Scholar Project of Shandong Province of China (tstp20230629)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Keywords
- networked control systems, piecewise affine systems, aperiodic sampling, exponential stability, integral quadratic constraints, time-varying delays, feedback interconnection, stability conditions
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