Title :
Input-to-state stability analysis via averaging for parameterized discrete-time systems
Author :
Wei Wang;Dragan Nešić
Author_Institution :
Department of Electrical and Electronic Engineering, The university of Melbourne, Parkville, 3010, Victoria, Australia
Abstract :
The paper studies semi-global practical input-to-state stability (SGP-ISS) of a parameterized family of discrete-time systems that may arise when an approximate discrete-time model of a sampled-data system with disturbances is used for controller design. It is shown under appropriate conditions that if the solutions of the time varying family of discrete-time systems with disturbances converge uniformly on compact time intervals to the solutions of the average family of discrete-time systems, then ISS of the average family of systems implies SGPISS of the original family of systems.
Keywords :
"Stability analysis","Nonlinear systems","Time varying systems","Sampling methods","Control systems","Discrete time systems","Difference equations","History","Australia","Nonlinear control systems"
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Print_ISBN :
978-1-4244-3871-6
DOI :
10.1109/CDC.2009.5399993
