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.
|Journal||IOP Conference Series: Materials Science and Engineering|
|Publication status||Published - 9 Dec 2019|
|Event||2019 8th International Conference on Mechatronics and Control Engineering, ICMCE 2019 - Paris, France|
Duration: 23 Jul 2019 → 25 Jul 2019
ASJC Scopus subject areas
- Materials Science(all)