System gamma: the directives of finite-frequency identification Ljubov Mikhailova, Elektrostal Polytechnic Institute of Moscow State Institute of Steel and Alloys




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where , , .
If the plant (1) is completely controllable then the system (9) has a unique solution which does not depend on the choice of the frequencies .
Substituting the FDP by their estimates, the following frequency equations of identification

, ,

(10)

are obtained.
In order to examine requirements (2), the frequency technique of model validation (Alexandrov, 1999) may be used. The described method of identification is implemented in the system GAMMA as the directive d123su.
In considered case the parameters of test signal and identification time are given numbers. In (Alexandrov, 2005) the method of self-tuning of these parameters are described. The amplitudes and the frequencies of the test signal are tuned automatically during the identification process. The time of identification is determined depending on the current external disturbances and the noise. The self-tuning of identification time is implemented in the directive d123sdsu. The self-tuning of amplitudes is carried out to satisfy the requirements on the bounds of the input and output of the plant which hold true in the absence of a test signal. This operation is executed by the directive d123sursad.



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System gamma: the directives of finite-frequency identification Ljubov Mikhailova, Elektrostal Polytechnic Institute of Moscow State Institute of Steel and Alloys

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