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


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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: T Technology > TJ Mechanical engineering and machinery
Divisions : Faculty of Engineering and the Environment > Engineering Sciences > Electro-Mechanical Research Group
ePrint ID: 203205
Accepted Date and Publication Date:
Date Deposited: 15 Nov 2011 15:31
Last Modified: 31 Mar 2016 13:46

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