Abstract
In this note, non-smooth finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties is investigated. To solve this problem, the input-to-state stability property is used to characterize unmeasured dynamic uncertainties. A constructive partial-state control design is proposed on the basis of involved combined use of Lyapunov, backstepping and input-to-state stability techniques. Under small-gain type local conditions, a solution for the finite-time regulation of a class of uncertain nonlinear systems is obtained.
Original language | English (US) |
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Pages (from-to) | 1950-1956 |
Number of pages | 7 |
Journal | IEEE Transactions on Automatic Control |
Volume | 51 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2006 |
Keywords
- Dynamic uncertainties
- Finite-time convergence
- Input-to-state stability (ISS)
- Nonsmooth feedback
- Parametric uncertainties
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering