.png){kind=icon}
返回
Robust-Exact-Differentiator-Inspired Discrete-Time Differentiation
.png){kind=icon}
PRE
AI
DOI：10.1109/TAC.2021.3093522.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This article proposes a discrete-time differentiation algorithm of arbitrary order inspired by the continuous-time uniform robust exact differentiator and the continuous-time arbitrary-order robust exact differentiator. As the well-known explicit Euler method is not suitable for discretizing algorithms with the fixed-time convergence property, a semi-implicit approach is proposed. The discrete-time differentiators of orders 2 and 3 are studied in detail, and it is proven that the estimation errors vanish independent of their initial condition in the unperturbed case. In the presence of perturbations, it is shown that the origin of the estimation errors is surrounded by an attractive set. Furthermore, the performance of the proposed algorithm is evaluated via simulation studies.
Keyword:
Eigenvalues and eigenfunctions
Convergence
Heuristic algorithms
Asymptotic stability
Tuning
Stability criteria
Perturbation methods
Discrete-time systems
sliding-mode control
stability of nonlinear systems
期刊
IF:
7
论文数:
1.3W
被引数:
6.7W
机构
引用论文
分享收藏Adaptive Control of Fuel Cell Converter Based on a New Hamiltonian Energy Function for Stabilizing the DC Bus in DC Microgrid Applications.png)
Mathematics
OAAI
MathematicsIF0
OAAI分享收藏Interlayer Registry to Determine the Sliding Potential of Layered Metal Dichalcogenides: The Case of 2H-MoS2确定层状金属二硫属化物滑动势的层间注册表: 2h -MoS2 的情况
OAAI
OAAI分享收藏
查看更多内容