TY - JOUR

T1 - Finding verifying vertices of a coefficients polytope of characteristic polynomial for analyzing a robust oscillability of a control system with interval parameters

AU - Khozhaev, I. V.

AU - Gayvoronskiy, S. A.

AU - Ezangina, T. A.

PY - 2019/12/9

Y1 - 2019/12/9

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.

UR - http://www.scopus.com/inward/record.url?scp=85078221327&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85078221327&partnerID=8YFLogxK

U2 - 10.1088/1757-899X/707/1/012013

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

M3 - Conference article

AN - SCOPUS:85078221327

VL - 707

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

SN - 1757-8981

IS - 1

M1 - 012013

T2 - 2019 8th International Conference on Mechatronics and Control Engineering, ICMCE 2019

Y2 - 23 July 2019 through 25 July 2019

ER -