Distributed adaptive Nash equilibrium seeking and disturbance rejection for noncooperative games of high‐order nonlinear systems with input saturation and input delay
This article aims to investigate Nash equilibrium seeking problems for noncooperative games played by high‐order nonlinear multiagent systems subject to input saturation, input delay, and external disturbances. Based on the gradient play technique, an adaptive Nash equilibrium seeking algorithm is d...
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| Published in | International journal of robust and nonlinear control Vol. 31; no. 7; pp. 2827 - 2846 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
10.05.2021
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1049-8923 1099-1239 |
| DOI | 10.1002/rnc.5418 |
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| Abstract | This article aims to investigate Nash equilibrium seeking problems for noncooperative games played by high‐order nonlinear multiagent systems subject to input saturation, input delay, and external disturbances. Based on the gradient play technique, an adaptive Nash equilibrium seeking algorithm is designed in a distributed fashion via backstepping, where a fixed‐time sliding mode observer is used to tackle the problem of “explosion of terms.” In the proposed algorithm, an extended‐state observer and an adaptive distributed observer are included for state/disturbance estimates and information sharing, respectively. Detailed convergence results are presented by leveraging Lyapunov stability theory. Finally, the effectiveness of the proposed approach is numerically verified through simulation results. |
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| AbstractList | This article aims to investigate Nash equilibrium seeking problems for noncooperative games played by high‐order nonlinear multiagent systems subject to input saturation, input delay, and external disturbances. Based on the gradient play technique, an adaptive Nash equilibrium seeking algorithm is designed in a distributed fashion via backstepping, where a fixed‐time sliding mode observer is used to tackle the problem of “explosion of terms.” In the proposed algorithm, an extended‐state observer and an adaptive distributed observer are included for state/disturbance estimates and information sharing, respectively. Detailed convergence results are presented by leveraging Lyapunov stability theory. Finally, the effectiveness of the proposed approach is numerically verified through simulation results. |
| Author | Wang, Long Ai, Xiaolin |
| Author_xml | – sequence: 1 givenname: Xiaolin orcidid: 0000-0002-2143-6159 surname: Ai fullname: Ai, Xiaolin email: bitaixiaolin@163.com organization: Peking University – sequence: 2 givenname: Long surname: Wang fullname: Wang, Long organization: Peking University |
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| SubjectTerms | Adaptive algorithms Equilibrium external disturbances Game theory Games input delay input saturation Multiagent systems Nash equilibrium Nonlinear systems Saturation Sliding mode control State observers |
| Title | Distributed adaptive Nash equilibrium seeking and disturbance rejection for noncooperative games of high‐order nonlinear systems with input saturation and input delay |
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