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

DS Laila, D Nešić, AR Teel - European Journal of Control, 2002 - Elsevier
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 …

[PDF][PDF] Open and closed loop dissipation inequalities under sampling and controller emulation

AR Teel - minerva-access.unimelb.edu.au
We present a general and uni ed 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 satis es 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 satis es a similar dissipation inequality in a semiglobal practical …
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