Finding verifying vertices of a coefficients polytope of characteristic polynomial for analyzing a robust oscillability of a control system with interval parameters

Abstract

The paper is dedicated to extending a root locus theory to systems with interval parameters, which are described with a characteristic polynomial with interval coefficients. On a basis of angular equation of a root locus a set of interval inequalities, including departure angles of root locus edge branches, determining oscillability degree of a control system, was derived. Solving the system of inequalities for low-order control systems resulted in a set of vertices of a characteristic polynomial coefficients polytope, projections of which on a complex plane determine an oscillability of such systems. Examples of application are provided.

Original language	English
Article number	012013
Journal	IOP Conference Series: Materials Science and Engineering
Volume	707
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/707/1/012013
Publication status	Published - 9 Dec 2019
Event	2019 8th International Conference on Mechatronics and Control Engineering, ICMCE 2019 - Paris, France Duration: 23 Jul 2019 → 25 Jul 2019

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)

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10.1088/1757-899X/707/1/012013

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Finding verifying vertices of a coefficients polytope of characteristic polynomial for analyzing a robust oscillability of a control system with interval parameters. / Khozhaev, I. V.; Gayvoronskiy, S. A.; Ezangina, T. A.

In: IOP Conference Series: Materials Science and Engineering, Vol. 707, No. 1, 012013, 09.12.2019.

Research output: Contribution to journal › Conference article › peer-review

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abstract = "The paper is dedicated to extending a root locus theory to systems with interval parameters, which are described with a characteristic polynomial with interval coefficients. On a basis of angular equation of a root locus a set of interval inequalities, including departure angles of root locus edge branches, determining oscillability degree of a control system, was derived. Solving the system of inequalities for low-order control systems resulted in a set of vertices of a characteristic polynomial coefficients polytope, projections of which on a complex plane determine an oscillability of such systems. Examples of application are provided.",

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N2 - The paper is dedicated to extending a root locus theory to systems with interval parameters, which are described with a characteristic polynomial with interval coefficients. On a basis of angular equation of a root locus a set of interval inequalities, including departure angles of root locus edge branches, determining oscillability degree of a control system, was derived. Solving the system of inequalities for low-order control systems resulted in a set of vertices of a characteristic polynomial coefficients polytope, projections of which on a complex plane determine an oscillability of such systems. Examples of application are provided.

AB - The paper is dedicated to extending a root locus theory to systems with interval parameters, which are described with a characteristic polynomial with interval coefficients. On a basis of angular equation of a root locus a set of interval inequalities, including departure angles of root locus edge branches, determining oscillability degree of a control system, was derived. Solving the system of inequalities for low-order control systems resulted in a set of vertices of a characteristic polynomial coefficients polytope, projections of which on a complex plane determine an oscillability of such systems. Examples of application are provided.

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Finding verifying vertices of a coefficients polytope of characteristic polynomial for analyzing a robust oscillability of a control system with interval parameters

Abstract

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