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 -