Group and total dissipativity and stability of multi-equilibria hybrid automata
Group and total dissipativity and stability of multi-equilibria hybrid automata
Complex systems, which consist of different interdependent and interlocking subsystems, typically have multiple equilibrium points associated with different set points of each operation mode. These systems are usually interpreted as switched systems, or in general, as hybrid systems. Surprisingly, the consideration of multiple equilibria is not common in hybrid systems’ literature, being typically focused on the study of stability and dissipativity properties for switched systems whose subsystems share the same equilibrium point. This paper will expand the discussion to the case of having multiple co-existing equilibrium points for hybrid systems modelled as hybrid automata, which are more general than switched systems. A classification of equilibria for hybrid automata is offered, and some stability related properties are shown for them. Moreover, some dissipativity-related properties are studied. The chief idea of our approach is to identify stable and dissipative components as group of discrete locations within the hybrid automaton. Two examples are used to illustrate our conclusions.
dissipativity theory, energy control, hybrid automata, control systems, computational methods
3196-3202
Navarro-Lopez, Eva Maria
dc1a3988-17e3-4d37-b705-37bf68bded06
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Navarro-Lopez, Eva Maria
dc1a3988-17e3-4d37-b705-37bf68bded06
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Navarro-Lopez, Eva Maria and Laila, Dina Shona
(2013)
Group and total dissipativity and stability of multi-equilibria hybrid automata.
IEEE Transactions on Automatic Control, 58 (12), .
(doi:10.1109/TAC.2013.2261185).
Abstract
Complex systems, which consist of different interdependent and interlocking subsystems, typically have multiple equilibrium points associated with different set points of each operation mode. These systems are usually interpreted as switched systems, or in general, as hybrid systems. Surprisingly, the consideration of multiple equilibria is not common in hybrid systems’ literature, being typically focused on the study of stability and dissipativity properties for switched systems whose subsystems share the same equilibrium point. This paper will expand the discussion to the case of having multiple co-existing equilibrium points for hybrid systems modelled as hybrid automata, which are more general than switched systems. A classification of equilibria for hybrid automata is offered, and some stability related properties are shown for them. Moreover, some dissipativity-related properties are studied. The chief idea of our approach is to identify stable and dissipative components as group of discrete locations within the hybrid automaton. Two examples are used to illustrate our conclusions.
Text
enavarro_dlaila_ieeetac_feb2012_1.pdf
- Author's Original
Restricted to Repository staff only
Request a copy
Text
IEEE-TAC-TN-12-637_paper_feb2013_2302.pdf
- Other
More information
Accepted/In Press date: 2013
e-pub ahead of print date: 1 March 2013
Keywords:
dissipativity theory, energy control, hybrid automata, control systems, computational methods
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 338199
URI: http://eprints.soton.ac.uk/id/eprint/338199
ISSN: 0018-9286
PURE UUID: 6b9d8c52-9929-4fe6-9ad5-1fb82b514071
Catalogue record
Date deposited: 10 May 2012 15:21
Last modified: 14 Mar 2024 11:02
Export record
Altmetrics
Contributors
Author:
Eva Maria Navarro-Lopez
Author:
Dina Shona Laila
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