COMPUTER PARAMETRIC ANALYSIS OF STABILITY OF AUTOMATIC CONTROL SYSTEMS WITH DELAY

We consider a machine-oriented approach to the construction of stability areas of linear automatic control systems (ACS) with delay based on the D-partition method and the Nyquist criterion. The classical implementation of these methods requires the construction of the D-partition and Nyquist frequency hodographs. These hodographs have an irregular behavior and for difficult systems their construction can turn into a significant problem associated with the choice of the step of change and the maximum frequency value. In turn, to solve the problem, hodographs are needed not as a whole (not in the whole frequency range), but only their individual points, with the help of which the boundaries of the desired areas are determined. It is offered to determine the presence of these points by positive real roots in a special way of the constructed algebraic equations that doesn't demand search of all values of the frequency characteristics, thereby does not require their direct construction. The proposed solution of a task allows to reduce significantly time of receiving result and to increase complexity of the studied ACS with delay in the construction of stability areas.