The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Dwell-Time-Based Robust Stabilization and L ₂–Gain Analysis for Asynchronously Switched Linear Systems With Actuator Saturation
Abstract
This paper studies the robust stabilization problem and$L_{2}-$gain analysis for a class of asynchronously switched linear systems with actuator saturation under the dwell time switching signal. The switching signal of the switched controller involves time delay, which results in the asynchronous switching between the candidate controller and the subsystems. The matched state feedback controllers for each subsystem are designed by proposing a new type of multiple time-varying piecewise Lyapunov functions (MTVPLFs), and the computable sufficient conditions for the robust stabilization and$L_{2}-$gain problem of the studied switched systems are proposed respectively within the framework of a dwell-time switching. The convex hull technique is employed to deal with actuator saturation. Finally, an illustrative example of the problem of the continuously stirred tank reactor is presented to demonstrate the effectiveness of our proposed method.Note to Practitioners—In asynchronously switched linear systems with actuator saturation, the stability of the systems is very important. Actuator saturation is one of the reasons for degrading system performance, and the switching instants of the controllers may lag behind the corresponding subsystems to generate asynchronous switching. The coexistence of actuator saturation and asynchronous switching exacerbates the instability of the switched systems. In view of actuator saturation and asynchronous switching, the asynchronous state feedback controllers for each subsystem are designed by proposing a new type of MTVPLFs and dwell time switching strategy.
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Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach
Donkers, M. C. F., Heemels, W. P. M. H., van de Wouw, N., & Hetel, L. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2107631 · Cited by 537
Analysis and design for discrete-time linear systems subject to actuator saturation
Hu, T., Lin, Z., & Chen, B. M. (2002) · Systems & Control Letters · doi:10.1016/s0167-6911(01)00168-2 · Cited by 471
Fu, J., Ma, R., & Chai, T. (2015) · Automatica · doi:10.1016/j.automatica.2015.02.023 · Cited by 438
Self-citationRen, H., Zong, G., & Li, T. (2018) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2017.2789186 · Cited by 417
Fault-Tolerant Control of Switched LPV Systems: A Bumpless Transfer Approach
Zong, G., Yang, D., Lam, J., & Song, X. (2021) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2021.3096375 · Cited by 318
Chen, H., Zong, G., Gao, F., & Shi, Y. (2023) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2023.3246429 · Cited by 274
Stability of Time-Delay Feedback Switched Linear Systems
Vu, L., & Morgansen, K. A. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2053750 · Cited by 224
Adaptive Tracking Control of Hybrid Switching Markovian Systems with Its Applications
Yang, D., Zong, G., Shi, Y., & Shi, P. J. (2023) · SIAM Journal on Control and Optimization · doi:10.1137/21m1442036 · Cited by 211
Stabilization of a Class of Switched Linear Neutral Systems Under Asynchronous Switching
Wang, Y., Zhao, J. Y., & Jiang, B. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2013.2250076 · Cited by 167
Multiple-Mode Observer Design for a Class of Switched Linear Systems
Zhao, X., Liu, H., Zhang, J., & Li, H. (2013) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2013.2281466 · Cited by 155
Cited by
Sorted by citations
Yang, D., Sun, Y., Zong, G., Sun, H., & Liu, T. (2025) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2025.3539861 · Cited by 21
Shen, Q., & Xu, S. (2024) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2024.3470816 · Cited by 18
State-Dependent Switching Control for Nonlinear Impulsive Switched Systems With Dwell Time
Yang, D., Li, X., Zhang, G., & Lee, J. H. W. (2025) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2025.3541186 · Cited by 17
Pang, H., Cheng, J. S., Yan, H., Zhang, D., Qi, W., & Qiu, X. (2024) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2024.107145 · Cited by 4
Cao, Z., Fu, J., & Ma, R. (2024) · IEEE Transactions on Network Science and Engineering · doi:10.1109/tnse.2024.3484488 · Cited by 3
Self-citation
Metadata
- Authors
- Chen, Q., & Ma, R.
- Affiliations
- Dalian University of Technology (CN)
- Liaoning University (CN)
- ORCID
- Venue
- IEEE Transactions on Automation Science and Engineering
- Published
- 2024-10
- Volume
- 21
- Issue
- 4
- Pages
- 6882-6891
- ISSN
- 1545-5955 (ISSN-L)
- 1558-3783
- OpenAlex
- W4388819679
- Cited by
- 17
- References
- 36
- Citations by year
- 2026: 6 · 2025: 7 · 2024: 4
- FWCI
- 1.49
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Automation Science and Engineering (publishedVersion)
- Funders
- National Natural Science Foundation of China (62073157)
- Natural Science Foundation of Liaoning Province (2022-MS-173)
- 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 › Engineering › Control and Systems Engineering › Advanced Control Systems Optimization
- Keywords
- actuator saturation, dwell-time switching, robust stabilization, L2-gain analysis, state feedback controller, continuous stirred tank reactor
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