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Parametrical Synthesis of Linear Controllers in Aperiodical Systems on Basis of Decomposition Approach

Sergey Anatolevich Gayvoronskiy(1), Tatiana Ezangina(2*), Maxim Pushkarev(3), Ivan Khozhaev(4)

(1) National Research Tomsk Polytechnic University, Russian Federation
(2) National Research Tomsk Polytechnic University, Russian Federation
(3) National Research Tomsk Polytechnic University, Russian Federation
(4) National Research Tomsk Polytechnic University, Russian Federation
(*) Corresponding author


DOI: https://doi.org/10.15866/ireaco.v12i4.16401

Abstract


This article deals with the issue of parametric synthesis of a linear controller that provides aperiodical character of transition processes. The proposed solution addresses a decomposition approach towards the parametric synthesis of linear controllers in aperiodical interval control systems. The approach relies on the division of a characteristic polynomial of a system into the dominating polynomial, provided a dominating real pole, and a free polynomial that defines the rest system poles allocation. In order to allocate the free polynomial roots at a maximum possible distance from an imaginary axis, the sufficient conditions providing a quasi-maximum degree of stability have been set. The decomposition approach in combination with these conditions has allowed developing the methodology on parametric synthesis for linear controllers providing the quasi-maximum degree of the polynomial roots domination. The methodology implementation has been carried out in practice and introduced in this paper with a numerical example.
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Keywords


Parametric Synthesis; Control System; Dominating Roots; Interval Characteristic Polynomial; Degree of Stability; Linear Controller

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References


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