TY - JOUR

T1 - Control system for an object with interval-given parameters

T2 - Quality analysis based on leading coefficients of characteristic polynomials

AU - Chursin, Yury A.

AU - Sonkin, Dmitry M.

AU - Sukhodoev, Mikhail S.

AU - Nurmuhametov, Ruslan A.

AU - Pavlichev, Vsevolod V.

PY - 2018

Y1 - 2018

N2 - This paper presents stability analysis for a class of uncertain nonlinear systems and a method for designing robust control system based on leading coefficients of characteristic polynomials. The problem of determining quality indices of a system, which characteristic polynomials are with interval coefficients, is one of the relevant ones in the robust control theory. This article deals with the interval characteristic polynomial coefficients of a control system. Based on the extended root locus method, we have determined conditions, at which the vertices of a polyhedron of coefficients will be mapped onto root domain. The root analysis carried out by us showed the conditions for achieving the minimum degree of stability of the system under consideration, as well as the maximum degree of oscillation. Thus, the paper describes the design of a method intended for finding the control leading coefficients of polynomials that will allow analyzing the minimum stability degree and the maximum oscillativity degree of control systems for objects with interval-given parameters. A complete solution to a problem of the system control is given. Thus, the stability conditions of the system are described in full.

AB - This paper presents stability analysis for a class of uncertain nonlinear systems and a method for designing robust control system based on leading coefficients of characteristic polynomials. The problem of determining quality indices of a system, which characteristic polynomials are with interval coefficients, is one of the relevant ones in the robust control theory. This article deals with the interval characteristic polynomial coefficients of a control system. Based on the extended root locus method, we have determined conditions, at which the vertices of a polyhedron of coefficients will be mapped onto root domain. The root analysis carried out by us showed the conditions for achieving the minimum degree of stability of the system under consideration, as well as the maximum degree of oscillation. Thus, the paper describes the design of a method intended for finding the control leading coefficients of polynomials that will allow analyzing the minimum stability degree and the maximum oscillativity degree of control systems for objects with interval-given parameters. A complete solution to a problem of the system control is given. Thus, the stability conditions of the system are described in full.

KW - Angle of leaving

KW - Characteristic polynomial

KW - Interval coefficients

KW - Oscillativity degree

KW - Parameterized polyhedron vertices

KW - Phase equation

KW - Root localization

KW - Root locus

KW - Stability degree

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U2 - 10.15866/ireaco.v11i4.15727

DO - 10.15866/ireaco.v11i4.15727

M3 - Article

AN - SCOPUS:85053831763

VL - 11

SP - 203

EP - 207

JO - International Review of Automatic Control

JF - International Review of Automatic Control

SN - 1974-6059

IS - 4

ER -