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Open and closed loop dissipation inequalities under sampling and controller emulation

Record type: Article

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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Citation

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. (doi:10.3166/ejc.8.109-125).

More information

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: 18 Jul 2017 11:08

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Contributors

Author: Dragan Nesic
Author: Andrew Teel

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