Methods of analysis of automatic control systems obeying a mathematical model with cubic characteristic equation

Frequency and Q-Factor of the Lowest Frequency Complex Conjugate Poles Estimation Method Based on the Control System’s Characteristic Equation Coefficients Values

“…In case of real root domination [1,8] (8) This result extends to the case of higher orders of the characteristic equation. The authors research has shown that the lowest frequency complex conjugate poles may be estimated by the following simple formulas (in case of real root domination which is appreciate for CS): Using the above formulas allows the rapid and easy-to-understand CS quality analysis.…”

“…The proposed method has been tested and endorsed by comparison with the test simulation and physical model experiments for the following common cases: − frequency range estimation of active biquadratic section based on operation amplifier chips [7]; − simple regulator's type and parameters validation to ensuring aperiodic transients in CS obeying a mathematical model with cubic characteristic equation [8][9];…”