Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 48, Issue 7, Pages 4395-4418Publisher
SIAM PUBLICATIONS
DOI: 10.1137/070712043
Keywords
finite-time control; input-to-state stability; nonsmooth feedback; Lyapunov functions; uncertainties
Categories
Funding
- NNSF of China [60874018, 60736022, 60821091]
- U.S. NSF [ECS-0093176, DMS-0504462, DMS-0906659]
- Research Grants Council of Hong Kong [CityU 112907]
Ask authors/readers for more resources
This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems. With finite-time stability, nonsmoothness has to be considered, and serious technical challenges arise in the design of finite-time controllers and the stability analysis of the closed-loop system. It is found that FTISS plays an important role as the conventional ISS in the context of asymptotic stability analysis and smooth feedback stabilization. Moreover, a robust adaptive controller is proposed to handle nonlinear systems with parametric and dynamic uncertainties by virtue of FTISS and related arguments.
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