Abstract
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.
| Original language | English |
|---|---|
| Article number | 012013 |
| Journal | IOP Conference Series: Materials Science and Engineering |
| Volume | 707 |
| Issue number | 1 |
| DOIs | |
| 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)
- Engineering(all)
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Khozhaev, I. V., Gayvoronskiy, S. A., & Ezangina, T. A. (2019). Finding verifying vertices of a coefficients polytope of characteristic polynomial for analyzing a robust oscillability of a control system with interval parameters. IOP Conference Series: Materials Science and Engineering, 707(1), [012013]. https://doi.org/10.1088/1757-899X/707/1/012013