The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
A Novel Infinite-Time Optimal Tracking Control Scheme for a Class of Discrete-Time Nonlinear Systems via the Greedy HDP Iteration Algorithm
Abstract
In this paper, we aim to solve the infinite-time optimal tracking control problem for a class of discrete-time nonlinear systems using the greedy heuristic dynamic programming (HDP) iteration algorithm. A new type of performance index is defined because the existing performance indexes are very difficult in solving this kind of tracking problem, if not impossible. Via system transformation, the optimal tracking problem is transformed into an optimal regulation problem, and then, the greedy HDP iteration algorithm is introduced to deal with the regulation problem with rigorous convergence analysis. Three neural networks are used to approximate the performance index, compute the optimal control policy, and model the nonlinear system for facilitating the implementation of the greedy HDP iteration algorithm. An example is given to demonstrate the validity of the proposed optimal tracking control scheme.
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Cites
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A Self-Learning Call Admission Control Scheme for CDMA Cellular Networks
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Self-citationAn optimal tracking neuro-controller for nonlinear dynamic systems
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Cited by
Zhang, H., Luo, Y., & Liu, D. (2009) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2009.2027233 · Cited by 649
Self-citationValue Iteration Adaptive Dynamic Programming for Optimal Control of Discrete-Time Nonlinear Systems
Wei, Q., Liu, D., & Lin, H. (2016) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2015.2492242 · Cited by 465
Self-citationLiu, Y.-J., Gao, Y., Tong, S., & Li, Y. (2016) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2015.2418000 · Cited by 408
Off-Policy Reinforcement Learning for $ H_\infty $ Control Design
Luo, B., Wu, H.-N., & Huang, T. (2015) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2014.2319577 · Cited by 362
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Metadata
- Authors
- Zhang, H., Wei, Q., & Luo, Y.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2008-08
- Volume
- 38
- Issue
- 4
- Pages
- 937-942
- ISSN
- 1083-4419 (ISSN-L)
- OpenAlex
- W2098035803
- Cited by
- 489
- References
- 13
- FWCI
- 19.16
- Type
- journal article
- Language
- en
- Open access
- closed
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- Zhang, H., Wei, Q., & Luo, Y. (2008). A Novel Infinite-Time Optimal Tracking Control Scheme for a Class of Discrete-Time Nonlinear Systems via the Greedy HDP Iteration Algorithm. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2008.920269
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