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Math Help - Simple PI controller design problem

  1. #1
    Newbie liptak's Avatar
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    Mar 2011
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    Question Simple PI controller design problem

    Hi, I have some difficulties with PI controller design, please, take a look.

    Transfer function of the system is


    Denumerator from the closed-loop transfer function (considering PI controller, where K is proportional gain, and T is integral gain) is


    after simplifying


    I've tried Graham-Lathrop Method, but I got 2 equations with 3 parametres:


    I've tried Naslin method and manual tuning as well without any success. Then I've tried to design P controller only, but got negative proportional gain...

    What am I doing wrong?

    Any advice would be greatly appreciated! Thanks for your time.

    Liptak

    NOTE: sorry for the external images, but latex compilator isn't working right now.
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  2. #2
    Newbie liptak's Avatar
    Joined
    Mar 2011
    Posts
    13

    Unhappy

    Hey guys, some additional info:

    This is the model of the turbojet engine (input - fuel, output - rpm)


    I'm trying to control the acceleration of this engine in steady state (e.g from 43000 rpm to 45000rpm). I suppose that the model of the acceleration is following:


    Step response of this system:


    But I can't find a stabilizing controller

    I've tried some PID tuning MATLAB scripts... they got me singularity error... what's wrong with this system?
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