适应性事件触发的跟踪控制用于严格反的非线性ODE级联的n+1合的高压PDE系统
Yu Xiao1, Xiaodong Xu1, Biao Luo1
1School of Automation, Central South University, Changsha 410083, Hunan, China.
ISA transactions
|May 21, 2025
概括
本研究介绍了复杂的ODE-PDE系统的自适应事件触发跟踪控制,提高了起重机系统的性能. 新方法减少了控制操作,同时确保了系统稳定性和准确的跟踪.
科学领域:
- 控制系统工程 控制系统工程
- 应用数学 应用数学 应用数学
- 机器人技术 机器人技术 机器人技术
背景情况:
- 解决了控制级联非线性普通微分方程 (ODE) 和形局部微分方程 (PDE) 系统的挑战.
- 专注于具有不确定性和严格反配置的系统,在起重机系统等应用中很常见.
- 突出了这种复杂系统现有的时间触发稳定控制的局限性.
研究的目的:
- 为特定类型的ODE-PDE系统开发适应事件触发的跟踪控制.
- 克服在非线性,不确定的级联系统中检查输入到状态稳定性的困难.
- 解决这些系统的边界事件触发跟踪控制的开放问题.
主要方法:
- 结合几何设计方法与无限和有限维的后退技术.
- 为非线性ODE-PDE系统设计了一个自适应跟踪控制器.
- 提出了一个动态事件触发机制,以最大限度地减少控制 actuation 频率.
主要成果:
- 成功构建了一个适应性跟踪控制器,用于挑战性系统.
- 开发了一个动态事件触发机制,可以减少控制更新频率.
- 为追踪错误和最小停留时间提供了对非对称收的严格理论证明.
结论:
- 拟议的自适应事件触发控制方案有效地管理复杂的ODE-PDE系统.
- 动态事件触发机制通过减少执行来提高控制效率.
- 通过对起重机系统的模拟进行验证,证明了其实际适用性和有效性.
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