Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 58, Issue 4, Pages 1074-1080Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2012.2218153
Keywords
Finite-time stability; homogeneity; tracking differentiator
Funding
- National Natural Science Foundation of China
- National Basic Research Program of China [2011CB808002]
- National Research Foundation of South Africa
Ask authors/readers for more resources
In this technical note, the weak convergence of a nonlinear high-gain tracking differentiator based on finite-time stable system is presented under some easy checkable conditions. An example is constructed by using homogeneity. Numerical simulation shows that this tracking differentiator takes advantages over the existing ones. This result relaxes the strict conditions required in existing literature that the Lyapunov function satisfies the global Lipschitz condition and the setting-time function is continuous at zero, both of them seem very restrictive in applications.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available