How to solve Algebraic Loops in half car model with PID controller

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Mücahit
Mücahit 2023-12-23
回答： Sulaymon Eshkabilov 2023-12-24
  6 个评论
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Sam Chak
Sam Chak 2023-12-24
Hi @Mücahit
There is no algebraic loop error message when I run the Simulink file. I added a Scope to check the signals, and they are stable. Perhaps @Sulaymon Eshkabilov can also take a look.
Mücahit
Mücahit 2023-12-24
thank you so much for your efforts. I don't use Scope, I'm using the plot code from the matlab command page. as you can see , there is a very big peak at first.when I run the code, it gives an algebraic loop error but I can get these graphs, and when I change the coefficients, it asks me to reduce the number of steps or fix the algebraic loop set parameter trust region command. i thought that if I solved the algebraic loop error, I would improve the graph more.

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回答（2 个）

Sulaymon Eshkabilov
Sulaymon Eshkabilov 2023-12-23
By glancing at your Simulink model, that looks ok without seeing f(u)'s. I can see the problem is in f(u) function definitions. I would check f(u) for acceleration calcs.
Sulaymon Eshkabilov
Sulaymon Eshkabilov 2023-12-24
Hi @Mücahit,
There are a couple of derivative blocks in your model that creates all instability (spikes are occuring due to derivatives at t=0, i.e., Any/0 = inf) related issue at the start of your simulation. A possible solution can be:
(1) Switch the derivative block with a some sort of transfer function, e.g., TFD(s) = s/(tau_D*s+1)
(2) Include the derivative term into the PID's transfer fucntion

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