基于零和游戏的动态自触发的滑动模式控制用于未知非线性系统,具有不对称的输入约束
Ning Xu1, Tengda Wang2, Ben Niu3
1College of Information Science and Technology, Bohai University, Jinzhou 121013, Liaoning, China.
ISA transactions
|November 20, 2025
概括
本研究引入了一种新的自适应动态编程方法,用于控制具有输入约束的未知非线性系统. 该方法通过使用动态自动触发的滑动模式控制策略来确保系统稳定性和最佳性能.
科学领域:
- 控制理论 控制理论
- 非线性系统是非线性系统.
- 适应式动态编程 (ADP) 是一种动态编程.
背景情况:
- 控制具有不对称输入约束的未知非线性系统存在重大挑战.
- 现有的方法经常在实时适应和计算效率方面扎.
研究的目的:
- 为具有不对称输入约束的未知连续时间非线性系统开发强大的控制策略.
- 为了解决基于零和游戏的动态自动触发的滑动模式控制问题.
主要方法:
- 制定一种新的非二次数值函数,将H无限控制转换为不受约束的零和游戏.
- 利用循环神经网络进行数据驱动的未知系统动态的重建.
- 动态自触发机制的设计,用于自适应地确定触发瞬间.
主要成果:
- 为了解决汉密尔顿 - 雅各比 - 艾萨克斯方程,提出了一种精简的单关键神经架构,消除了演员 - 网络依赖.
- 基于Lyapunov的分析保证了所有闭环信号的统一的最终边界性.
- 控制策略在模拟中显示出出色的动态响应特性.
结论:
- 拟议的自适应动态编程方法有效地解决了对具有不对称输入约束的未知非线性系统的控制.
- 动态自动触发的滑动模式控制策略确保了系统稳定性和最佳性能.
- 在机器人臂和微电网系统上得到验证,展示了实际的应用性和稳定性.
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