Academic Journal
Robust Tracking Control for Non-Zero-Sum Games of Continuous-Time Uncertain Nonlinear Systems
| العنوان: | Robust Tracking Control for Non-Zero-Sum Games of Continuous-Time Uncertain Nonlinear Systems |
|---|---|
| المؤلفون: | Chunbin Qin, Ziyang Shang, Zhongwei Zhang, Dehua Zhang, Jishi Zhang |
| المصدر: | Mathematics; Volume 10; Issue 11; Pages: 1904 |
| بيانات النشر: | Multidisciplinary Digital Publishing Institute |
| سنة النشر: | 2022 |
| المجموعة: | MDPI Open Access Publishing |
| مصطلحات موضوعية: | adaptive dynamic programming (ADP), non-zero-sum (NZS) games, robust trajectory tracking, Hamilton–Jacobi–Bellman (HJB) equation, uncertain nonlinear systems |
| الوصف: | In this paper, a new adaptive critic design is proposed to approximate the online Nash equilibrium solution for the robust trajectory tracking control of non-zero-sum (NZS) games for continuous-time uncertain nonlinear systems. First, the augmented system was constructed by combining the tracking error and the reference trajectory. By modifying the cost function, the robust tracking control problem was transformed into an optimal tracking control problem. Based on adaptive dynamic programming (ADP), a single critic neural network (NN) was applied for each player to solve the coupled Hamilton–Jacobi–Bellman (HJB) equations approximately, and the obtained control laws were regarded as the feedback Nash equilibrium. Two additional terms were introduced in the weight update law of each critic NN, which strengthened the weight update process and eliminated the strict requirements for the initial stability control policy. More importantly, in theory, through the Lyapunov theory, the stability of the closed-loop system was guaranteed, and the robust tracking performance was analyzed. Finally, the effectiveness of the proposed scheme was verified by two examples. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | https://dx.doi.org/10.3390/math10111904 |
| DOI: | 10.3390/math10111904 |
| الاتاحة: | https://doi.org/10.3390/math10111904 |
| Rights: | https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: | edsbas.1AF86FE8 |
| قاعدة البيانات: | BASE |
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