Stability analysis of control systems with the asymmetric controllers using frequency domain criterion

Abstract

The stability of control systems with the linear plants using asymmetric Proportional and Proportional-asymmetric Integral controllers is analyzed in this work. The methods of nonlinear systems stability analysis based on the frequency domain criterion proposed by Popov and modified by the Cho and Narendra were employed. They are dedicated for the systems with the one nonlinear element. The investigation has been performed using Off-Axis and Circle criterions by employing graphical-analytical analysis methods, which were realized using software Mathcad. The obtained analysis results were verified using dynamic systems simulation software Matlab/Simulink. Ill. 6, bibl. 13 (in English; abstracts in English and Lithuanian).

Darbe tiriamas tiesinių objektų, valdomų asimetriniu proporciniu ir proporciniu-asimetriniu integraliniu reguliatoriais, stabilumas. Tyrimui taikytas dažninių charakteristikų tyrimo metodas, skirtas netiesinėms sistemoms. Jį pasiūlė Popovas, o patobulino Cho ir Narendra. Šie metodai skirti sistemoms, turinčioms vieną netiesinį elementą. Tyrimas atliktas naudojant apskritiminį ir neašinį (Offaxis) kriterijus. Jam atlikti taikytas grafinis-analitinis metodas, sukurtas naudojantis programų paketu „Mathcad“. Gauti rezultatai patikrinti dinaminių sistemų modeliavimo programa „Matlab/Simulink“. Il. 6, bibl. 13 (anglų kalba; santraukos anglų ir lietuvių k.).