论文标题
任意订单固定时间差异化者
Arbitrary Order Fixed-Time Differentiators
论文作者
论文摘要
分化是控制，观察和故障检测的重要任务。 Levant的区别是独特的，因为它能够准确，稳健地估算具有有界高阶衍生物的信号的衍生物。但是，尽管有限的时间与初始分化误差的范围无限，但融合时间却无法确定，这使其不确定何时精确。在本文中，我们提出了Levant的区分范围的扩展，以便可以独立于初始条件，即估计收敛为\ emph {固定时}。我们还提出了一个连续的区分家族，并为分析和设计提供了统一的Lyapunov框架。
Differentiation is an important task in control, observation and fault detection. Levant's differentiator is unique, since it is able to estimate exactly and robustly the derivatives of a signal with a bounded high-order derivative. However, the convergence time, although finite, grows unboundedly with the norm of the initial differentiation error, making it uncertain when the estimated derivative is exact. In this paper we propose an extension of Levant's differentiator so that the worst case convergence time can be arbitrarily assigned independently of the initial condition, i.e. the estimation converges in \emph{Fixed-Time}. We propose also a family of continuous differentiators and provide a unified Lyapunov framework for analysis and design.
