Title :
A note on input-to-state stability of sampled-data nonlinear systems
Author :
A.R. Teel;D. Nesic;P.V. Kokotovic
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
It is shown for nonlinear systems that sampling sufficiently fast an input-to-state stabilizing (ISS) continuous time control law results in an ISS sampled-data control law. Two main features of our approach are: we show how the nonlinear sampled-data system can be modeled by a functional differential equation (FDE); and we exploit a Razumikhin type theorem for ISS of FDE that was proved by Teel (1998) to analyze the sampled-data system.
Keywords :
"Stability","Nonlinear systems","Control systems","Sampling methods","Nonlinear control systems","Differential equations","Linear systems","Data analysis","Data systems","System testing"
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757793