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The liquid level system (LLS) is approximated as a first order plant with time delay.
A bankruptcy court could shrink liabilities for retiree health care, break contracts that protect auto dealers and order plant closings.
A bankruptcy court could shrink liabilities for retiree health care, break dealer franchise contracts and order plant closings.
In order to control the fractional order plant, discrete-time approximation methods have been applied.
Processes with high orders or long time delays are modeled with lower order plant transfer functions with longer time delays.
The derivation of these transfer functions are for any order plant requiring its open loop step or impulse response.
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Our method has been particularized to first order plants, controlled by PIα regulators, although the results can be easily extended to higher order plants and other fractional controllers.
This work deals with the use of Generalized Predictive Control (GPC) with fractional order plants.
Design of PI, PID and Dead-beat algorithms are presented and exemplified for second and third order plants (benchmarks).
This proposed design scheme offers a practical and systematic way of the controllers design for the considered class of fractional order plants.
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