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A way for treating general delayed systems with uncertain delays in both the numerator and the denominator is shown. The proposed procedure is demonstrated by an example. A simple controller is derived via algebraic theory and the structured singular value, which treats uncertain time delay in both the numerator and the denominator of an anisochronic system. The overall performance is verified by...
This paper is aimed to application of simple continuous-time robust regulators of PI and PID type designed through general solutions of Diophantine equations in the ring of proper and stable rational functions to control of temperature in laboratory model of hot-air tunnel of which mathematical model is supposed to include parametric uncertainty. One of the main advantages of the proposed algebraic...
Systems with parametric uncertainty represent an important class of uncertain objects that are characterized by mathematical model containing parameters which are not precisely known, but the values thereof lie within given intervals. This type of uncertainty can arise during the control of real processes, e.g. as a consequence of imprecise measuring or of the influence of certain external conditions...
The contribution is focused on brief description of proposed control design process and primarily on practical application of obtained simple robust control algorithms. The synthesis is based on general solutions of Diophantine equations in the ring of proper and stable rational functions, Youla-Kucera parameterization and divisibility conditions and one of its main advantages can be seen in existence...
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...
The paper describes a user-friendly package for continuous-time control and robust stability analysis of SISO systems affected by parametric uncertainties. Concretely, the specific and common case of the closed-loop system containing controlled system with interval parameters is supposed. The program has been created in the MATLAB+Simulink environment with the support of Polynomial Toolbox. The implemented...
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