Control of delayed integrating processes using two feedback controllers - R(MS) approach

Abstract

The objective of this paper is to demonstrate the utilization of algebraic controller design in an unconventional ring while control integrating processes with time delay. In contrast to many other methods, the proposed method is not based on the time delay approximation. A control structure combining a simple feedback loop and a two-degrees-of-freedom control structures is considered. This structure can be conceived as a simple feedback loop with inner stabilizing loop. The control design is performed in the ring of retarded quasipolynomial (RQ) meromorphic functions (R(MS)) - an algebraic method based on the solution of the Brzout equation with Youla-Kucera parameterization is presented. Final controllers may be of so-called anisochronic type and ensure feedback loop stability, tracking of the step reference and load disturbance attenuation. Among many possible tuning methods, the dominant pole assignment method is adopted.