The task of control of object, prone to oscillation is still relevant. It has not been solved successfully yet. In particular, it is important to control the object having in the polynomial numerator of its transfer function negative coefficient of the term of the first order [1]. This or close task with varying degrees of success has been solved in a number of papers [1-14]. For example, it is proposed to use a bypass channel, which is a development of the idea of Smith predictor [1, 2]. The use of the bypass channel eliminated the reverse overshoot, but the transient process has preserved a significant reverse deviation and a few oscillations of large amplitude. It is also proposed to use a switching regulator, which at the beginning of the transient process has some initial mathematical model, and changes it to another model at the end of the process or at its middle. In this case, there is an additional transient process at the time of switching, which can be smoothed by mean of the smooth switching. In addition, this method is not effective in the fight with disturbance, because for it the individual stages of the transient process (the beginning, the middle part and the end) can not be separated. The paper investigates alternative methods of control such objects.
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