Partie interactive du site pédagogique ELECINF344/ELECINF381 de Télécom ParisTech (occurrence 2011).


RoseWheel: Improvement of the PID

These last two days we mainly worked on tuning the PID coefficients to improve the stability. In this way, we tried to find the best set of PID coefficients so that RoseWheel could raise from an almost horizontal position and recover stability as soon as possible and then maintain this stability over time, even under hard external perturbation. We also worked on improving the coefficients we found for the human driving mode to make the right compromise between smooth-driving and responsiveness.

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During this test and improve phase, Alexis advised us to plot the curve of the different values critical for our system. Thus, we plotted over time the value of the angle and the angle rate before and after the kalman filtering and also the command sent to the motor calculated by our PID algorithm.

It made us find 2 problems in our software that explains why at the beginning RoseWheel was so unstable:

  • The Kalman filter wasn’t configured correctly. We first configured it for the testbench but we forgot to change the time step that was indeed ten times smaller than the correct value. That led to latency and incorrectness in the output of the Kalman filtering. Changing this parameter to its correct value made the system become really more stable.
  • Even after the Kalman filtering, we noticed that the angular rate was still a lot noisy. This noise caused our gyropod to vibrate a lot when increasing the derivative coefficient Kd in the PID. That is a problem because increasing the derivative coefficient is the only way we have to lower the amplitudes of the oscillations induced by a big proportionnal term Kp in the PID. Thus, we decided to smooth the angular rate value by using a low-pass filter after the Kalman filtering. It’s really a simple filter as it’s only made of 2 coefficients, but according to the plots, it made its work correctly and the angular rate seems to be really smoother than before. But while testing, increasing the derivative coefficient still leads to oscillations and vibrations, so we still have to work on it.

As we obtained satisfying results at making RoseWheel maintain its equilibrium, we started working on other features :

We implemented the safety switch and elaborated a protocol to avoid as much dangerous situations as possible :

At the very beginning, when one presses the power on button, RoseWheel is in self-driving-mode by default. That means it will try to reach its equilibrium position as soon as possible and then remain in this position. We assume that the user isn’t too silly and, for instance, will not try to power on RoseWheel in an almost horizontal position whereas he is facing it. Then, as soon as the safety switch that is located on the base is pressed, that means that someone has its foot on RoseWheel and wants to ride it : RoseWheel switches to its human-drive mode. If suddenly the safety switch is released, RoseWheel checks the angle. If it’s almost 0°, that means that RoseWheel’s speed is almost 0 and the person maybe wants to get out, then calmly RoseWheel switches to its self-driven mode (we still need to implement it). If the angle is under 75°, that could means two things: the person has felt down or the person has temporarily raised its foot. Thus, if the safety switch isn’t pressed within 1 second, RoseWheel makes a special noise, then, if it’s still not switched on within another second, RoseWheel switch to its self-driven mode. Finally, if the angle is greater than 75°, that means that the person has felt down and RoseWheel could represent a menace for people around, motors are disabled.

2) Concerning the obstacle detection, we almost finished to implement the sharps and sonar drivers. As these detectors are really sensitive to the external conditions, we still have to test them and see how they react in the different environnements RoseWheel will evolve in.

3) Concerning the remote control, we almost finished to implement the drivers for the Bluetooth, we made some tests yesderday, but we still need to continue them today and we will talk more about it in the next article.

Sur le même sujet :

  1. RoseWheel: first ride
  2. RoseWheel : CAN & Kalman
  3. RoseWheel : à pleine vitesse
  4. RoseWheel : développement carte capteurs
  5. RoseWheel: tests preparation

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