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Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems
Abstract
The state feedback control problem is addressed for a class of nonlinear time-delay systems. The time delays appear in all state variables of the nonlinear system, which brings a challenging issue for controller design. With an introduced new Lyapunov-Krasovskii functional, we develop a novel control strategy. With the help of a backstepping method, we design a memoryless state feedback controller, which does not need the precise knowledge of time delays. It is rigorously proved that the closed-loop system is asymptotically stable. Chemical reactor plants are typical nonlinear systems with time delays. We apply the developed method to the control design of a two-stage chemical reactor with delayed recycle streams, and the simulation results verify the effectiveness of the main results.
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Cited by
Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone
Li, H., Zhao, S., He, W., & Lu, R. (2019) · Automatica · doi:10.1016/j.automatica.2018.10.030 · Cited by 555
Song, X., Sun, P., Song, S., & Stojanovic, V. (2023) · Neural Computing and Applications · doi:10.1007/s00521-023-08361-y · Cited by 119
Observer-Based Finite-Time Sampled-Data Control for a Class of Nonlinear Time-Delay Systems
Mao, J., Zou, W., Guo, J., & Xiang, Z. (2024) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2023.3329652 · Cited by 16
Metadata
- Authors
- Hua, C., Liu, P. X., & Guan, X.
- Venue
- IEEE Transactions on Industrial Electronics
- Published
- 2009-09
- Volume
- 56
- Issue
- 9
- Pages
- 3723-3732
- ISSN
- 0278-0046 (ISSN-L)
- OpenAlex
- W2105369742
- Cited by
- 241
- References
- 0
- FWCI
- 5.02
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems. https://app.cochat.ai/papers/10.1109/tie.2009.2025713
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- Hua, C., Liu, P. X., & Guan, X. (2009). Backstepping Control for Nonlinear Systems With Time Delays and Applications to Chemical Reactor Systems. IEEE Transactions on Industrial Electronics. https://doi.org/10.1109/tie.2009.2025713
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