Analysing Impact of Transfer Function Zeros in Controlled Object on Parametric Sensitivity of Systems Synthesized by Method of Aggregated Controller Analytical Design (ACAD)

Abstract

The use of modern analytical methods of synthesizing controllers often encounters difficulties related to automatic control systems (ACS) being obtained that are highly sensitive to variations in the parameters of the controlled object. In some cases, the cause of this is the presence of zeros in the transfer function of the controlled object. An indication of high ACS sensitivity to changing parameters is the presence of positive feedbacks along state coordinates. This study is devoted to the comparative analysis of automatic control systems synthesized by modal control methods and aggregated controller analytical design (ACAD). It considers the second order controlled objects with various structures, in which the transfer functions contain zeros. It was shown that the use of the ACAD method gives designers wider possibilities in terms of choosing a rapidly functioning automatic control system compared with the modal control method while retaining low sensitivity to changing controlled object parameters.