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Tuning rules for robust FOPID controllers based on multi-objective optimization with FOPDT models
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文摘
A set of optimally balanced tuning rules for fractional-order proportional-integral-derivative controllers is proposed. The control problem of minimizing at once the integrated absolute error for both the set-point step response and the load disturbance step response is addressed. Further, the maximum sensitivity is considered as a constraint for the optimization problem. The control problem is stated as a multi-objective optimization problem where a first-order-plus-dead-time process model has been considered. The Nash solution is chosen between the set of Pareto optimal solutions obtained for different normalized dead times. A curve fitting procedure has then eventually been applied in order to generate suitable tuning rules.

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