The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Near-Optimal Control for Nonzero-Sum Differential Games of Continuous-Time Nonlinear Systems Using Single-Network ADP
Abstract
In this paper, a near-optimal control scheme is proposed to solve the nonzero-sum differential games of continuous-time nonlinear systems. The single-network adaptive dynamic programming (ADP) is utilized to obtain the optimal control policies which make the cost functions reach the Nash equilibrium of nonzero-sum differential games, where only one critic network is used for each player instead of the action-critic dual network used in a typical ADP architecture. Furthermore, the novel weight tuning laws for critic neural networks are proposed, which not only ensure the Nash equilibrium to be reached but also guarantee the system to be stable. No initial stabilizing control policy is required for each player. Moreover, Lyapunov theory is utilized to demonstrate the uniform ultimate boundedness of the closed-loop system. Finally, a simulation example is given to verify the effectiveness of the proposed near-optimal control scheme.
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Cites
Bellman, R. E. (2010) · doi:10.1515/9781400835386 · Cited by 14,588
Murray, J. J., Cox, C. J., Lendaris, G. G., & Saeks, R. (2002) · IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews) · doi:10.1109/tsmcc.2002.801727 · Cited by 677
Lewis, F. L., & Vamvoudakis, K. G. (2011) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2010.2043839 · Cited by 544
Vamvoudakis, K. G., & Lewis, F. L. (2011) · Automatica · doi:10.1016/j.automatica.2011.03.005 · Cited by 525
Cited by
Liu, D., Yang, X., Wang, D., & Wei, Q. (2015) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2015.2417170 · Cited by 440
Liu, 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
Liu, D., Wang, D., Wang, F.-Y., Li, H., & Yang, X. (2014) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2014.2357896 · Cited by 310
Adaptive Neural Control of Uncertain Nonlinear Systems Using Disturbance Observer
Chen, M., Shao, S.-Y., & Jiang, B. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2667680 · Cited by 292
Metadata
- Authors
- Zhang, H., Cui, L., & Luo, Y.
- Venue
- IEEE Transactions on Cybernetics
- Published
- 2013-02
- Volume
- 43
- Issue
- 1
- Pages
- 206-216
- ISSN
- 2168-2267 (ISSN-L)
- 2168-2275
- OpenAlex
- W1997603681
- Cited by
- 464
- References
- 4
- FWCI
- 16.63
- Type
- journal article
- Language
- en
- Open access
- closed
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- Zhang, H., Cui, L., & Luo, Y. (2013). Near-Optimal Control for Nonzero-Sum Differential Games of Continuous-Time Nonlinear Systems Using Single-Network ADP. IEEE Transactions on Cybernetics. https://doi.org/10.1109/tsmcb.2012.2203336
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