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Thus, they assume no delay between the sampling instant and the instant at which the computed control value is applied to the actuator.
Similar(59)
Let T be the sampling period and suppose y(t) is constant during the sampling instant.
where t k denotes the sampling instant and satisfies lim k → ∞ t k = ∞.
No periodicity assumption is made for the sampling instants.
This results in the asymptotic satisfaction of the control objectives at the sampling instants.
The sampling instants depend in this case only on a local information offered by the local feedback loops.
The proposed protocols only require that the union of communication topologies switched at the sampled instants has a spanning tree, without requiring information exchanges over the sampled interval and the connectivity of communication topology at each sampling instant.
And the issues and analysis for the discrete times zero order hold and first order hold are very similar to what they were in continuous time the zero order hold just simply holding the value until the next sampling instant, and the first order hold carrying out linear interpolation in between the samples.
In (1), is the current sampling instant, is the previous one, and is the time elapsed between the current and the previous sampling instants.
The first sampling instant was at the onset of hemodialysis, the last one just before removing the extracorporeal circuit.
The first that I want to mention is what's referred to as the zero order hold, where in effect, we do the interpolation in between these sample values by simply holding the sample value until the next sampling instant.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com