- A qualitative analysis of the step response of a closed-loop 0-pole distribution
- requires system Stability: Closed-loop poles are required to be in the left half plane
- requirements fast: Fast transient component attenuation-closed-loop poles should be away from the imaginary axis
- overshoot small, oscillation times Less: Conjugate complex poles are best near ±45°, where the damping ratio is 0.707
- If the damping ratio is less than 0.707, the overshoot is too large, the oscillation intensifies
- if the damping ratio is greater than 0.707, then the speed is poor, near the logarithmic ascent rate
- requires the transient component to disappear as soon as possible, i.e. its component coefficients are small
- the distance between closed-loop poles increases
- closed-loop poles and closed-loop distance between 0 points decrease
- dominant pole
- nearest to the imaginary axis (slow decay of transient components) there is no other 0-point pole near the
- (high transient component)
- so the dominant sub-system has a large impact on the dynamic performance of systems
- dipole
- when the distance between a pole and a 0 point is less than one order of magnitude from their distance to the imaginary axis, this pair of 0 poles is called a dipole
- dipole that can be used to simplify system and system optimization, correction
- correction function Transfer function (study of the system approximation equivalent Leibnizian system by studying the conjugate dominant pole)
- ? Mainly for the system, the phase angle has been advanced and lag
- Advanced correction: Improve system stability (unstable system can be stabilized), improve transient response performance
- lag correction: Improve the system's steady state performance (that is, the ability to track a given change)
requirements:
- 0 points and Poles close, phase angle changes small, to ensure that the original closed-loop system of the transient characteristics of the basic constant
- 0 points and Poles are close to the origin position, can provide a large steady-state gain
- hysteresis Correction Primer into a transient that has a slow attenuation but a small percentage;
From for notes (Wiz)
Correcting positive targets, principles and methods of root locus method
