基于H∞的跟踪控制用于采样数据PI型控制器的非线性系统:非统一的采样时间依赖的功能控制器
IEEE transactions on cybernetics
|July 25, 2025
概括
这项研究引入了一种使用Takagi-Sugeno模糊逻辑和H-无限理论控制非线性系统的新方法. 这种方法提高了跟踪控制性能,尽管存在干扰和延迟.
科学领域:
- 控制工程 控制工程 控制工程
- 非线性系统分析 非线性系统分析
- 模糊逻辑系统 模糊逻辑系统
背景情况:
- 非线性系统带来了重要的控制挑战.
- 现有的H无穷度控制方法往往与采样数据系统有局限性.
- 塔卡吉-苏杰诺 (T-S) 模糊模型为近似非线性动态提供了一个框架.
研究的目的:
- 为非线性系统开发基于H无限度的跟踪控制策略,采用非统一的抽样.
- 为应对外部干扰,传输延迟和数据包丢失所带来的挑战.
- 放松采样数据系统常规控制方法中的约束.
主要方法:
- 提出了一个非统一的取样时间依赖函数 (NSTDF),克服了传统循环函数的局限性.
- 为采样数据系统推导出了一种新的H-无限性性能分析定理,缓解了Lyapunov矩阵约束.
- 为了控制器设计,构建了一个包含错误积分状态的增强系统.
主要成果:
- 为增强系统设计了一种比例积分 (PI) 类型的控制器,可以有效处理干扰和延迟.
- 对于增强系统来说,H-infinity追踪控制问题已经成功地重新制定.
- 提出的方法在使用风能转换系统 (WECS) 和罗斯勒系统的模拟中证明了可行性和优势.
结论:
- 开发的NSTDF和H-infinity分析为采样数据控制提供了更灵活的框架.
- 该PI类型的控制器有效地管理复杂的系统动态和不确定性.
- 该研究为非线性系统的H无限度跟踪控制提供了强大的和高效的方法.
相关概念视频
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