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Thread: PID - Root Locus (Sisotool) for Transfer Function (TF) with Zero and Poles in Right P

  1. #1
    Associate Engineer
    Join Date
    Jul 2021

    PID - Root Locus (Sisotool) for Transfer Function (TF) with Zero and Poles in Right P

    Hi everyone! I have a 8th order transfer function, you can see it in the first image:

    % Transfer function
    num = [2.091,0,203.3,0,-2151,0,-1.072e05];
    den = [1,0,-830.4,0,-1.036e05,0,-5.767e05,0,2.412e07];
    tf = tf(num, den)


    I need to use a PID, so I'm trying to use a compensator, adding poles and zero with the sisotool in MatLab to turn it stable. But iI tried, I tried, and tried, without success. How you can see in picture bellow. But the zero on the right side always holds a pole.
    Note: Red zeros and poles have been added, and blue ones belong to the original transfer function.


    My question is:
    Is it possible stable this function adding zeros and poles, or not ?

    Any tips ?
    Note: I must use a PID for this lesson :(

  2. #2
    New Member
    Join Date
    Jul 2023
    Hello image is given by you is not clear so send image properly and this time i will try to figure out your question , Hi!

    In view of the pictures you gave, apparently you are attempting to settle an eighth request move capability utilizing a PID regulator and compensators. Balancing out higher-request frameworks can be testing, and it's essential to painstakingly plan the compensators to accomplish strength.

    For your situation, it appears to be that the compensators you have attempted up until this point have not been fruitful in accomplishing strength. Adding zeros and shafts can assist with molding the recurrence reaction and further develop security, yet it requires cautious tuning and investigation.

    Here are a few hints that might end up being useful to you in balancing out the framework:

    Examine the open-circle framework: Prior to adding compensators, break down the open-circle move capability to grasp its qualities, like shafts, zeros, and strength edges. This examination can give experiences into the difficulties you might look in settling the framework.

    Use root locus examination: Play out a root locus investigation to comprehend the impact of including shafts and zeros the framework's soundness. This investigation can assist you with picturing how the framework's posts move as you add compensators and guide your plan decisions.

    Change PID regulator boundaries: as well as adding compensators, cautiously tune the boundaries of the PID regulator. The corresponding, fundamental, and subordinate additions influence the soundness and execution of the shut circle framework. Explore different avenues regarding different boundary values to track down a reasonable equilibrium.

    Think about model decrease: Assuming that balancing out the full eighth request framework demonstrates testing, you could investigate model decrease procedures to work on the framework. By diminishing the request for the exchange capability while saving significant elements, settling the worked on model might be simpler.

    Look for help: Balancing out complex frameworks can be a perplexing errand. Consider looking for help from specialists or teachers in your field who have insight in control frameworks. They might give important bits of knowledge or elective ways to deal with tackle the steadiness issue.

    Recollect that settling high-request frameworks can be a perplexing undertaking, and it might require emphasess and trial and error to track down a palatable arrangement. Perseverance and a methodical methodology will help you in your quest for security. Best of luck with your venture!

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