Open and closed loop dissipation inequalities under sampling and controller emulation
Open and closed loop dissipation inequalities under sampling and controller emulation
We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the "weak" form and the "strong" form. The results are also applicable for open-loop systems.
119-125
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Teel, Andrew
fd6a067b-9a80-4f2b-83da-02ca424468f4
2002
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Nesic, Dragan
9dff456c-f9a3-44e8-995b-41de938b32ba
Teel, Andrew
fd6a067b-9a80-4f2b-83da-02ca424468f4
Laila, Dina Shona, Nesic, Dragan and Teel, Andrew
(2002)
Open and closed loop dissipation inequalities under sampling and controller emulation.
European Journal of Control, 8 (2), .
(doi:10.3166/ejc.8.109-125).
Abstract
We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the "weak" form and the "strong" form. The results are also applicable for open-loop systems.
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dsl_ejc_2002.pdf
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Published date: 2002
Organisations:
Mechatronics
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Local EPrints ID: 203205
URI: http://eprints.soton.ac.uk/id/eprint/203205
ISSN: 0947-3580
PURE UUID: cb7870e0-5922-4fff-9617-084e950f73b7
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Date deposited: 15 Nov 2011 15:31
Last modified: 14 Mar 2024 04:27
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Author:
Dina Shona Laila
Author:
Dragan Nesic
Author:
Andrew Teel
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