Observer-Based Finite-Time Sampled-Data Control for a Class of Nonlinear Time-Delay Systems
Abstract
This article puts forward an observer-based finite-time sampled-data stabilization scheme for a nonlinear time-delay system. To overcome the difficulties of stabilizing such nonlinear system under consideration, a reduced-order observer, whose role lies in estimating unavailable states, is formulated by relying on detectable sampled output, subsequently, a finite-time sampled-data output-feedback stabilizer (FSOS), which possesses suitable scalars and sampling period, can be developed with the help of adding a power integrator (AAPI) technique, such stabilizer can drive the formulating closed-loop system to be globally practically finite-time stable (GPFS) in the presence of uncertain time delays, which requires to be verified by means of established Lyapunov-Krasovskii functionals (LKFs). The availability of the developed scheme can be reflected by two simulations in the end.
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The proposed method avoids requiring precise nonlinearity knowledge by approximating functions via RBFNNs using only sampled outputs, thereby reducing computational complexity.
“Unlike existing approaches [14], [25], the method avoids requiring precise nonlinearity knowledge by approximating functions via RBFNNs using only sampled outputs, thereby reducing computational complexity.”
From Neural Network-Aided Sampled-Data Control for a Class of Nonlinear Systems With Unknown Dynamics (2025) · cites this paper as [25]
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Neural Network-Aided Sampled-Data Control for a Class of Nonlinear Systems With Unknown Dynamics
Zhou, N., Yan, J., Xia, Y., Li, T., & Cheng, X. (2025) · IEEE Transactions on Circuits and Systems II: Express Briefs · doi:10.1109/tcsii.2025.3620235
- Authors
- Mao, J., Zou, W., Guo, J., & Xiang, Z.
- Affiliations
- China Jiliang University (CN)
- Nanjing University of Science and Technology (CN)
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Published
- 2024-03
- Volume
- 54
- Issue
- 3
- Pages
- 1645-1657
- ISSN
- 2168-2216 (ISSN-L)
- 2168-2232
- OpenAlex
- W4388878534
- Cited by
- 16
- References
- 43
- Citations by year
- 2026: 6 · 2025: 8 · 2024: 2
- FWCI
- 1.72
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Transactions on Systems Man and Cybernetics Systems (publishedVersion)
- Funders
- National Natural Science Foundation of China (62373191, 62103392, 62303224)
- Natural Science Foundation of Jiangsu Province of China (BK20230920)
- Fundamental Research Funds for the Central Universities
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Keywords
- finite-time stabilization, sampled-data control, nonlinear time-delay systems, reduced-order observer, output feedback stabilization, power integrator, Lyapunov-Krasovskii functional, uncertain time delay, state estimation
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