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.
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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 -