Title
Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems
Abstract
This paper considers the problem of designing globally finite-time convergent observers for a class of nonlinear systems with time-varying and output-dependent coefficients, which make the existing design approaches inapplicable. To solve this problem, a bottom-up design approach is first employed to recursively construct a finite-time convergent observer with time-varying coefficients for the nominal system. Then, using the homogeneous domination approach, we scale the finite-time convergent observer with an appropriate choice of gain for the original nonlinear system satisfying a Holder condition. In addition, we show that the Holder condition imposed on the nonlinearities can be removed for nonlinear systems with bounded trajectories.
Year
DOI
Venue
2013
10.1016/j.automatica.2012.11.036
Automatica
Keywords
Field
DocType
Finite-time convergent observer,Time-varying nonlinear system,Homogeneous domination approach
Mathematical optimization,Nonlinear system,Control theory,Homogeneous,Hölder condition,Observer (quantum physics),Recursion,Mathematics,Bounded function,Finite time
Journal
Volume
Issue
ISSN
49
2
0005-1098
Citations 
PageRank 
References 
27
1.04
17
Authors
4
Name
Order
Citations
PageRank
Haibo Du180837.15
Chunjiang Qian21619121.17
Shizhong Yang3738.40
Shihua Li4153285.67