Effective method of calculation of the expanded gain-phase characteristic with binomial theorem usage

Authors
  • Sachko M.A.

    Vladivostok State University of Economics and Service
    Vladivostok. Russia

  • Krivosheev V.P.

    Vladivostok State University of Economics and Service
    Vladivostok. Russia

Abstract

The method of transformation (manipulation) of polynoms of transfer function in complex expression of the gain-phase characteristic with use of а binomial theorem is considered. The flow-synthesis algorithm of calculation of the described method оn the computer аnd а variant of its algorithmization in the programming language С ++ is resulted. The example of а finding of the gain-phase characteristic of equivalent object of а cascade control system is considered.

Keywords: automatic control system, the transfer function, polynomial binomial theorem, enhanced amplitude-phase characteristic.