Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications
Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications
We present results on changing supply rates for input–output to state stable discrete-time nonlinear systems. Our results can be used to combine two Lyapunov functions, none of which can be used to verify that the system has a certain property, into a new composite Lyapunov function from which the property of interest can be concluded. The results are stated for parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system. We present several applications of our results: (i) a LaSalle criterion for input to state stability (ISS) of discrete-time systems; (ii) constructing ISS Lyapunov functions for time-varying discrete-time cascaded systems; (iii) testing ISS of discrete-time systems using positive semidefinite Lyapunov functions; (iv) observer-based input to state stabilization of discrete-time systems. Our results are exploited in a case study of a two-link manipulator and some simulation results that illustrate advantages of our approach are presented.
821-835
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
May 2003
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Laila, Dina Shona and Nesic, Dragan
(2003)
Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications.
Automatica, 39 (5), .
(doi:10.1016/S0005-1098(03)00055-4).
Abstract
We present results on changing supply rates for input–output to state stable discrete-time nonlinear systems. Our results can be used to combine two Lyapunov functions, none of which can be used to verify that the system has a certain property, into a new composite Lyapunov function from which the property of interest can be concluded. The results are stated for parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system. We present several applications of our results: (i) a LaSalle criterion for input to state stability (ISS) of discrete-time systems; (ii) constructing ISS Lyapunov functions for time-varying discrete-time cascaded systems; (iii) testing ISS of discrete-time systems using positive semidefinite Lyapunov functions; (iv) observer-based input to state stabilization of discrete-time systems. Our results are exploited in a case study of a two-link manipulator and some simulation results that illustrate advantages of our approach are presented.
Text
dsldn_auto_2003.pdf
- Author's Original
More information
Published date: May 2003
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 203209
URI: http://eprints.soton.ac.uk/id/eprint/203209
ISSN: 0005-1098
PURE UUID: ad3846db-205f-422a-a60d-17d8d143133e
Catalogue record
Date deposited: 15 Nov 2011 16:21
Last modified: 14 Mar 2024 04:26
Export record
Altmetrics
Contributors
Author:
Dina Shona Laila
Author:
Dragan Nesic
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics