Title :
Robust stability of two-time-scale systems with nonlinear uncertainties
Author_Institution :
Ibiden USA Corp., Torrance, CA, USA
Abstract :
This note is concerned with the robust stability problem of uncertain two-time-scale systems, where the only information available for system uncertainties is their norm upper bounds. The stability bound ε* is derived via a state transformation and the constructive use of a Lyapunov function. Finally, examples are given to illustrate the applications of the proposed results.
Keywords :
control nonlinearities; matrix decomposition; sampled data systems; singularly perturbed systems; stability; uncertain systems; Lyapunov function; nonlinear uncertainties; norm upper bounds; robust stability; singularly perturbed systems; stability bound; state transformation; two-time-scale systems; Asymptotic stability; Eigenvalues and eigenfunctions; Lyapunov method; Nonlinear dynamical systems; Reduced order systems; Robust stability; Stability analysis; Uncertainty; Upper bound; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.822839
