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On preservation of dissipation inequalities under sampling

On preservation of dissipation inequalities under sampling
On preservation of dissipation inequalities under sampling
We show that if we first design a controller for a continuous-time nonlinear plant with disturbances so that it achieves a certain dissipation inequality for the continuous-time closed-loop system and then implement it as a sampled-data controller using a sampler and zero order hold, then the dissipation inequality will be preserved for the exact discrete-time model of the sampled data closed-loop system in a semiglobal practical sense (the sampling period is the parameter that we can adjust). Moreover, a similar statement is proved for open-loop systems, where controls are considered as free variables. Two different forms of dissipation inequalities are considered for the exact discrete-time models: the “weak” form and the “strong” form
0-7803-6638-7
2472-2477
Institute of Electrical and Electronics Engineers
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Teel, Andrew
fd6a067b-9a80-4f2b-83da-02ca424468f4
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Teel, Andrew
fd6a067b-9a80-4f2b-83da-02ca424468f4

Nesic, Dragan, Laila, Dina Shona and Teel, Andrew (2000) On preservation of dissipation inequalities under sampling. In Proceedings of the 39th IEEE Conference on Decision and Control, 2000. Institute of Electrical and Electronics Engineers. pp. 2472-2477 . (doi:10.1109/CDC.2000.914173).

Record type: Conference or Workshop Item (Paper)

Abstract

We show that if we first design a controller for a continuous-time nonlinear plant with disturbances so that it achieves a certain dissipation inequality for the continuous-time closed-loop system and then implement it as a sampled-data controller using a sampler and zero order hold, then the dissipation inequality will be preserved for the exact discrete-time model of the sampled data closed-loop system in a semiglobal practical sense (the sampling period is the parameter that we can adjust). Moreover, a similar statement is proved for open-loop systems, where controls are considered as free variables. Two different forms of dissipation inequalities are considered for the exact discrete-time models: the “weak” form and the “strong” form

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More information

Published date: 12 December 2000
Venue - Dates: 39th IEEE Conference on Decision and Control, Australia, 2000-12-12 - 2000-12-15
Organisations: Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 353181
URI: http://eprints.soton.ac.uk/id/eprint/353181
ISBN: 0-7803-6638-7
PURE UUID: 559aa9ae-6a78-4229-8059-19f6d9d7b276

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Date deposited: 27 Jun 2013 09:23
Last modified: 16 Jul 2019 21:32

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Contributors

Author: Dragan Nesic
Author: Dina Shona Laila
Author: Andrew Teel

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