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Group and total dissipativity and stability of multi-equilibria hybrid automata

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
0018-9286
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), 3196-3202. (doi:10.1109/TAC.2013.2261185).

Record type: Article

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.

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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

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Date deposited: 10 May 2012 15:21
Last modified: 14 Mar 2024 11:02

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Contributors

Author: Eva Maria Navarro-Lopez
Author: Dina Shona Laila

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