Can Lead-lag Controllers be Converted to PID Controllers?

[clarky12]

Homework Statement

I'm curently designing a controller, I have calculated the desired controller in terms of phase lead and phase lag, however I'm designing the controller on labview FPGA, which can only cope with a PID controller, I'm just wondering if anyone could help me by pointing me in the right direction, or alternitivly tell me that it can't be done in which case I'll just have to tune from scratch.

 

[rude man]

If you know the phase profile vs. frequency then the pid controller gain is O(s)/I(s) = H(s) = k_p + k_i/s + k_d s, then phase (w) = arc tan Im(H)/Re(H) where Re(H) and Im(H) are the real and imaginary parts of H(jw).

But I don't believe you can design your system just by phase manipulation ...