Is there a way to convert the PID controller to Lead, Lag, Lead-lag controller?

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We are working on a project where we are supposed to control the Parrot quadquaptor with lead lag and lead-lag controller. We are looking for ways to tune the lead-lag compensator just as PID is able to tune automatically in MATLAB. We would appreciate any insight about the topic. Thanks!

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bio lim
bio lim 2016-12-1
编辑:bio lim 2016-12-1
I will try my best to answer this question. It's been several years since I touched classical controls, so don't take my answer for guaranteed.
To some extent, there is not much difference between compensators and controllers. Compensators are specialized filters, which are designed to change the characteristic of your system, e.g., provide specific gain and phase shift. Basically, lead-lag compensators can be regarded as a controller. Lead compensator is essentially a PD controller, and a lag compensator is essentially a PI controller.
So to answer your question, you definitely can by not using the derivative or the integral terms.

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