对于非线性多玩家系统的近似跟踪控制,具有推迟非对称的时间变化的全状态约束
Jinguang Wang1, Chunbin Qin2, Jingyu Wang1
1State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China; Pengcheng Laboratory, Shenzhen, 518000, China.
ISA transactions
|October 30, 2024
概括
本研究介绍了对具有复杂约束和未知状态的非线性系统的纳什平衡跟踪控制. 这种新的方法确保了系统的稳定性和精确的轨迹,尽管条件具有挑战性.
科学领域:
- 控制系统工程 控制系统工程
- 游戏理论 游戏理论
- 非线性动力学是一种非线性动力学.
背景情况:
- 多玩家非线性系统经常面临状态约束和未知的初始条件的挑战.
- 现有的控制策略可能会与推迟不对称的时间变化 (DATV) 约束作斗争.
研究的目的:
- 为连续时间非线性多人系统开发纳什平衡跟踪控制策略.
- 用于处理具有DATV全态约束和未知初始状态的系统.
- 为了确保系统状态跟踪预定义的参考轨迹.
主要方法:
- 应用了改进的轮班转换来处理未知的初始状态和DATV约束.
- 一个障碍函数 (BF) 转换创建了一个不受约束的增强系统.
- 混合零和 (MZS) 游戏理论和只有批评者的结构被用来推导和近似控制策略.
- 利亚普诺夫理论验证了系统状态和控制参数的统一终极边界性 (UUB).
主要成果:
- 建议的控制策略有效地管理DATV全态约束和未知的初始条件.
- 系统状态成功地遵循了所需的参考轨迹.
- 通过模拟证实了神经网络重量和跟踪错误的统一最终边界性.
结论:
- 开发的基于游戏的MZS控制器为复杂的非线性多人游戏系统提供了强大的解决方案.
- 该方法在处理具有挑战性的状态约束和初始不确定性方面证明了其实际适用性.
- 这些发现有助于对具有严格操作要求的系统进行先进的控制理论.
相关概念视频
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01:23Linear time-invariant Systems
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01:26Constraints and Statical Determinacy
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01:22Controller Configurations
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