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

Download

[img] PDF dsl_ejc_2002.pdf - Author's Original
Download (302kB)

Description/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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.3166/ejc.8.109-125
ISSNs: 0947-3580 (print)
Subjects:
Organisations: Mechatronics
ePrint ID: 203205
Date :
Date Event
2002Published
Date Deposited: 15 Nov 2011 15:31
Last Modified: 18 Apr 2017 01:17
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/203205

Actions (login required)

View Item View Item