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System Parameter Estimation with Projection Algorithm

  1. Oct 31, 2012 #1
    I am recently trying to identify system parameters with projection algorithm, but faced a problem, and the dynamic model is the following:
    [itex]\ddot{y}(t)+a\cdot\dot{y}(t)=b\cdot e(t)[/itex]

    The true value of [itex]a[/itex] is [itex]2.8[/itex], [itex]b[/itex] is [itex]0.1[/itex].

    While inputing volt [itex]e(t)=12sin(2\pi t)+5sin(2t)[/itex], I can get a good result showed in 1c_PA_r0.1_a0.jpg, and both of a and b are convergent to the true value.

    But while [itex]e(t)=24[/itex], the result showed in doesn't seem right.

    My question is: will [itex]e(t)[/itex] affect the convergence of parameters? And why?
    By the way, I had also tried to use the least square to identify parameters while [itex]e(t)=24[/itex], the result also seems good.

    Attached Files:

  2. jcsd
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