基于估计器的非线性系统的第二阶梯滑动模式控制设计,输入延迟不明
IEEE transactions on cybernetics
|August 26, 2025
概括
这项研究引入了一种新型的第二阶滑动模式 (SOSM) 控制器,用于具有未知的输入延迟和不确定性的非线性系统. 新的控制器提高了稳定性和性能,
科学领域:
- 控制系统工程
- 非线性系统动力学
- 机器人和自动化
背景情况:
- 滑动模式控制器 (SMC) 对于非线性系统是有效的,但与输入延迟和不确定性作斗争.
- 现有的二级滑动模式 (SOSM) 控制器在处理未知的输入延迟和功能有限的不确定性方面面临挑战.
- 由于SMC的不连续性使得延迟补偿机制的整合变得复杂.
研究的目的:
- 为未知输入延迟的不确定非线性系统开发基于估计器的二级滑动模式 (SOSM) 控制器.
- 解决现有的SOSM方法在处理未知的输入延迟和功能有限的不确定性方面的局限性.
- 确保闭环控制系统的有限时间稳定性.
主要方法:
- 已确定的SOSM动态包括输入延迟和不确定性.
- 引入了辅助补偿系统和基于凸式优化的输入延迟估计器.
- 使用功率集成器技术设计了一种基于估计器的SOSM控制器,并通过利亚普诺夫分析验证了稳定性.
主要成果:
- 成功设计了一个与不连续控制器兼容的输入延迟估计器.
- 开发了一个新的SOSM控制器,有效地弥补了未知的输入延迟.
- 通过严格的莱普诺夫分析证明了闭环系统的有限时间稳定性.
- 进行比较的模拟证实了SOSM控制器的优越性能.
结论:
- 拟议的基于估计器的SOSM控制器有效处理具有未知的输入延迟的不确定非线性系统.
- 这种新方法提供了可靠的控制,并保证了有限时间的稳定性.
- 这种方法对复杂系统的现有SOSM控制策略提供了显著的进步.
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