I am doing a research using model free adaptive controlو the output is tracking the desired input but the control signal looks noisy with too much data. I tried to add low pass filter after the controller but there is no output. the sampling period is Ts=0.01s
I attached the figure of control signal that should be pure sine wave
if you are using matlab, you can just straight away use low-pass filters, like butterworth. https://nl.mathworks.com/help/signal/ref/butter.html
and then you can use use filt or filteredData = filtfilt (b,a,noisyData) to obtain the filtered data.
if you are working with high frequency then you have to modify the values of the capacitor and resistor of the low pass filter because high frequency affects resistance and capacitance to pass the signal.
It may be just fine if your control signal looks noisy (you can tune the sensitivity function of the closed-loop function to ensure high-frequency noise is attenuated, i.e., add low-pass filters).
Most process dynamics (plants) are intrinsically low-pass filters so the output should be fine. Also, in reality, even though the actuator has received such noisy command, its servo-loop (which often has limited bandwidth), won't exactly deliver the noisy control command. The actual control effort may be smoothed out as most actuators also behave like low-pass filters.
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