通过零和差分游戏对具有不匹配干扰的非线性系统进行规定的性能最佳容错控制
Youqing Wang1, Wenjing Hou1, Li Liang1
1College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China.
这项研究为面临干扰的非线性系统提出了一种新的容错控制策略. 游戏理论方法确保追踪错误在固定的时间内精确地趋同,保持系统稳定性.
科学领域:
- 控制理论 控制理论
- 游戏理论 游戏理论
- 非线性系统是非线性系统.
背景情况:
- 不匹配的干扰和执行器故障在非线性控制系统中构成重大挑战.
- 在这些条件下确保规定的性能和稳定性需要先进的控制方法.
研究的目的:
- 为具有规定的性能的非线性系统开发一个最佳的容错控制策略.
- 通过游戏理论框架,同时解决执行器故障和不匹配的干扰.
主要方法:
- 建立了一个零和差分游戏框架,将错误和干扰视为一名玩家,控制输入视为对手.
- 设计了一个创新的错误转换和一个障碍类型的成本函数.
- 使用在线批评神经网络 (NN) 算法来计算纳什平衡.
主要成果:
- 拟议的控制方法保证系统状态跟踪错误在固定的时间内汇聚到指定的精度.
- 所有闭环信号都被证明最终具有统一的边界,证实了最佳性能.
- 模拟结果证明了该方法的有效性和实用性.
结论:
- 开发的耐故障控制方案有效地管理有故障和干扰的非线性系统.
- 游戏理论方法与神经网络相结合,为规定的性能控制提供了强大的解决方案.
- 该方法确保了动态环境中的性能精度和系统稳定性.
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