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This paper is aimed at reviewing the ring of retarded quasipolynomial meromorphic functions (RMS) that was recently introduced as a convenient control design tool for linear, time-invariant time delay systems (TDS). It has been found by the authors that the original definition does not constitute a ring and has some essential deficiencies, and hence it could not be used for an algebraic control design...
This paper is aimed at the description of hardware design, software equipment and the functionality of the second evolution of the intelligent multipurpose input/output microcontroller converter and control unit designed and assembled by the authors. Preceding stages of the unit development are concisely overviewed first, the deficiencies of which give rise to the primary motivation of this contribution...
This contribution deals with design of controllers for 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 standard 1DOF and 2DOF control structures is considered. The control design is performed in the RMS ring of retarded quasipolynomial (RQ) meromorphic functions - an algebraic...
The main aim of this contribution is to present the possibilities of simple PI and PID-like robust algorithms in control of systems with periodic time-varying parameters. The proposed algebraic synthesis is based on general solutions of Diophantine equations in the ring of proper and stable rational functions and sequentially on selection of appropriate controller from the set defined by Youla-Kučera...
The paper is focused on control of first order unstable delayed systems. The control design is performed in the RMS ring of retarded quasipolynomial (RQ) meromorphic functions. Unstable systems are modeled in anisochronic philosophy as a ratio of quasipolynomials where also denominator contains delay terms. The goal is to find a suitable stable quasipolynomial as a common denominator of RMS terms...
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