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Open and closed loop dissipation inequalities under sampling and controller emulation

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.
0947-3580
119-125
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
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), 119-125. (doi:10.3166/ejc.8.109-125).

Record type: Article

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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Published date: 2002
Organisations: Mechatronics

Identifiers

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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Contributors

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

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