DETERMINING THE EFFECT OF FUZZINESS IN THE PARAMETERS OF A LINEAR DYNAMIC SYSTEM ON ITS STABILITY (p. 15–21).

Autor: Horbiychuk, Mykhailo, Lazoriv, Nataliia, Feshanych, Lidiia
Předmět:
Zdroj: Eastern-European Journal of Enterprise Technologies; 2021, Vol. 110 Issue 4, p15-21, 7p
Abstrakt: When investigating the system according to Mikhailov's criterion, it was established that the dynamic system retains stability in the case when the parameters of the characteristic equation are considered as fuzzy quantities. DETERMINING THE EFFECT OF FUZZINESS IN THE PARAMETERS OF A LINEAR DYNAMIC SYSTEM ON ITS STABILITY (p. 15-21). In contrast to methods based on the stochastic theory of system stability, the reported method does not require knowledge of those laws that govern the distribution of parameters of dynamic systems' models that are is quite problematic to obtain in practice. Therefore, the following triangular membership function: x xa xa a xa xa a xx x xx x () = - () + - [] -- () + + [] 2 12 2 12 ,;,,; (2) is to be approximated by the following Gaussian function: G x x xa () =- - () exp, 2 2 2 (3) where is the uncertainty interval of a fuzzy quantity x; µ(a x) = µ G (a x) = 1; is the concentration coefficient of a fuzzy quantity x. [Extracted from the article]
Databáze: Complementary Index