Can Lead-lag Controllers be Converted to PID Controllers?

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SUMMARY

Lead-lag controllers can be converted to PID controllers, but this process requires careful tuning and understanding of the system's phase profile versus frequency. The discussion highlights the use of LabVIEW FPGA, which only supports PID controllers, necessitating a transition from lead-lag designs. The relationship between the PID controller gain and the phase response is defined by the equation O(s)/I(s) = H(s) = k_p + k_i/s + k_d s, where the phase can be calculated using the arctangent of the imaginary and real parts of H(jw). It is essential to note that designing a system solely through phase manipulation is insufficient.

PREREQUISITES
  • Understanding of PID controller design and tuning
  • Familiarity with LabVIEW FPGA programming
  • Knowledge of phase lead and phase lag concepts
  • Ability to analyze frequency response using complex functions
NEXT STEPS
  • Research PID controller tuning methods, such as Ziegler-Nichols or Cohen-Coon
  • Explore LabVIEW FPGA documentation for advanced control design techniques
  • Study frequency response analysis and its application in control systems
  • Learn about phase margin and gain margin in control theory
USEFUL FOR

Control system engineers, embedded systems developers, and anyone involved in designing or tuning PID controllers using LabVIEW FPGA.

clarky12
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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.
 
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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 ...
 

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