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.
|Журнал||IOP Conference Series: Materials Science and Engineering|
|Статус публикации||Опубликовано - 9 дек 2019|
|Событие||2019 8th International Conference on Mechatronics and Control Engineering, ICMCE 2019 - Paris, Франция|
Длительность: 23 июл 2019 → 25 июл 2019
ASJC Scopus subject areas
- Materials Science(all)