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# Open and closed loop dissipation inequalities under sampling and controller emulation

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), pp. 119-125.

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.

PDF dsl_ejc_2002.pdf - Author's Original

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

## Catalogue record

Date deposited: 15 Nov 2011 15:31

## Contributors

Author: Dragan Nesic
Author: Andrew Teel