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**:** 56
**:**
**:** 2015
**:** .., .., .. / . 56. .: , 2015. .176-200.

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** (.):** fractional PID-controller, optimization criterion, set of initial states, set of input signals, simulated annealing.

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** (.):** We consider a problem of fractional PID-controller tuning to optimize it in average over a set of initial states of a closed system object-controller and on the set of typical input actions. The problem is reduced to multivariate optimization problem. We suggest an approach to the solution and implement it algorithmically. The approach is illustrated with finding the average optimal parameters of a fractional PID controller to pitch attitude guidance of an aircraft.

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