How do I convert Ki, Kp, Kd to crossover frequencies or vice versa?
Ki, Kp, Kd and cross over frequency
-
Moku:Go
Moku:Go Arbitrary Waveform Generator Moku:Go Data Logger Moku:Go Frequency Response Analyzer Moku:Go Logic Analyzer & Pattern Generator Moku:Go Oscilloscope & Voltmeter Moku:Go PID Controller Moku:Go Spectrum Analyzer Moku:Go Waveform Generator Moku:Go Power Supplies Moku:Go Digital Filter Box Moku:Go FIR Filter Builder Moku:Go Lock-in Amplifier Moku:Go General Moku:Go Logic Analyzer/Pattern Generator Moku:Go Time & Frequency Analyzer Moku:Go Laser Lock Box Moku:Go Phasemeter
-
Moku:Lab
Moku:Lab General Moku:Lab Arbitrary Waveform Generator Moku:Lab Data Logger Moku:Lab Digital Filter Box Moku:Lab FIR Filter Builder Moku:Lab Frequency Response Analyzer Moku:Lab Laser Lock Box Moku:Lab Lock-in Amplifier Moku:Lab Oscilloscope Moku:Lab Phasemeter Moku:Lab PID Controller Moku:Lab Spectrum Analyzer Moku:Lab Waveform Generator Moku:Lab Time & Frequency Analyzer Moku:Lab Logic Analyzer/Pattern Generator
-
Moku:Pro
Moku:Pro Arbitrary Waveform Generator Moku:Pro Data Logger Moku:Pro Frequency Response Analyzer Moku:Pro Oscilloscope Moku:Pro PID Controller Moku:Pro Spectrum Analyzer Moku:Pro Waveform Generator Moku:Pro Lock-in Amplifier Moku:Pro Digital Filter Box Moku:Pro FIR Filter Builder Moku:Pro Phasemeter Moku:Pro Multi-instrument Mode Moku:Pro General Moku:Pro Logic Analyzer/Pattern Generator Moku:Pro Time & Frequency Analyzer
- Python API
- MATLAB API
- Arbitrary Waveform Generator
- Data Logger
- Digital Filter Box
- FIR Filter Builder
- Frequency Response Analyzer
- Laser Lock Box
- Lock-in Amplifier
- Oscilloscope
- Phasemeter
- PID Controller
- Spectrum Analyzer
- Time & Frequency Analyzer
- Waveform Generator
- Logic Analyzer & Pattern Generator
- Multi Instrument Mode
- Moku Cloud Compile
- Moku general
- LabVIEW
The integrator or differentiator crossover frequencies are the frequencies where the integrator or differentiator gain is equal to the proportional gain (or 1 in cases when the proportional gain is not enabled). For the integrator, the gain is inversely proportional to frequency. For the differentiator, the gain is proportional to frequency. With 0 dB Ki and Kp, both the integrator and differentiator have 0 dB gain at 1 Hz.
Let's try an example. If we have 60 dB Ki, 20 dB Kp, and -80 dB Kd. For the integrator, it will have a 60 dB gain at 1 Hz, 40 dB gain at 10 Hz, and 20 dB gain at 100 Hz. As we have 20 dB Kp, the integrator crossover frequency is will be 100 Hz. For the differentiator, it will have -80 dB gain at 1 Hz, -60 dB gain at 10 Hz, -40 dB gain at 100 Hz..., and 20 dB gain at 100 kHz. So the integrator crossover frequency will be 100 kHz.