The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Fuzzy Approximation-Based Adaptive Backstepping Optimal Control for a Class of Nonlinear Discrete-Time Systems With Dead-Zone
Abstract
In this paper, an adaptive fuzzy optimal control design is addressed for a class of unknown nonlinear discrete-time systems. The controlled systems are in a strict-feedback frame and contain unknown functions and nonsymmetric dead-zone. For this class of systems, the control objective is to design a controller, which not only guarantees the stability of the systems, but achieves the optimal control performance as well. This immediately brings about the difficulties in the controller design. To this end, the fuzzy logic systems are employed to approximate the unknown functions in the systems. Based on the utility functions and the critic designs, and by applying the backsteppping design technique, a reinforcement learning algorithm is used to develop an optimal control signal. The adaptation auxiliary signal for unknown dead-zone parameters is established to compensate for the effect of nonsymmetric dead-zone on the control performance, and the updating laws are obtained based on the gradient descent rule. The stability of the control systems can be proved based on the difference Lyapunov function method. The feasibility of the proposed control approach is further demonstrated via two simulation examples.
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Cites
Identification and control of dynamical systems using neural networks
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Policy Iteration Adaptive Dynamic Programming Algorithm for Discrete-Time Nonlinear Systems
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Adaptive Control of a Flexible Crane System With the Boundary Output Constraint
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Self-citationAdaptive control of unknown plants using dynamical neural networks
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Cited by
Liu, Y.-J., Li, J., Tong, S., & Chen, C. L. P. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2508926 · Cited by 517
Self-citationLi, H., Wu, Y., & Chen, M. (2021) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2020.2982168 · Cited by 422
Adaptive Neural Network Control of a Robotic Manipulator With Time-Varying Output Constraints
He, W., Huang, H., & Ge, S. S. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2711961 · Cited by 361
Yang, C., Jiang, Y., Na, J., Li, Z., Cheng, L., & Su, C.-Y. (2019) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2018.2864940 · Cited by 334
Adaptive Neural Control of Stochastic Nonlinear Time-Delay Systems With Multiple Constraints
Wang, T., Qiu, J., & Gao, H. (2017) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2016.2562511 · Cited by 170
Metadata
- Authors
- Liu, Y.-J., Gao, Y., Tong, S., & Li, Y.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2016-02
- Volume
- 24
- Issue
- 1
- Pages
- 16-28
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W2089684487
- Cited by
- 408
- References
- 35
- FWCI
- 77.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Liu, Y.-J., Gao, Y., Tong, S., & Li, Y. (2016). Fuzzy Approximation-Based Adaptive Backstepping Optimal Control for a Class of Nonlinear Discrete-Time Systems With Dead-Zone. IEEE Transactions on Fuzzy Systems. https://doi.org/10.1109/tfuzz.2015.2418000
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