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.

RoseWheel: first ride

Tuesday evening, after nearly two days of fine-tuning our testing procedures and security measures, we finally did the first tests on our own vehicle. In order to make sure we didn’t damage the equipment (nor hurt somebody), we followed a simple and strict protocol:

1. First of all, we checked that we could control manually the motors via our interpreter;

2. Then, we verified that the limitations we applied to the variation of the voltage of each motor were adequate (as mentioned in a previous post, an abrupt increase or decrease on the voltage could severely damage the motors);

3. Finally, we determined a maximum speed that seemed reasonable, so that we could stop the vehicle manually should the worst happen.

After this initial procedure, we could start the actual tests of our system. After some iterations of tuning the coefficients of our controller, we realized that it was actually much easier to equilibrate the vehicle with a human being on top of it than without any load, since:

(i) the person enhances the performance of the control system by balancing his/her weight in a way that maximizes stability;

(ii) the presence of the human being makes the test conditions closer to the physical model we used to compute and simulate the parameters.

After several adjustments, we were able to take our first ride on the RoseWheel -- with basic steering capabilities via the integrated potentiometer implemented as a plus.

Nevertheless, by wednesday morning we had not yet found a way of balancing the RoseWheel alone -- a must for our next major goal, remote control. Then, we realized that the chassis we used had a very interesting property: by tilting it to a specific angle, we could align the center of gravity of the steering bar with the axis of the wheels, reaching a metastable equilibrium. We used this fact to offset the error variable of our PID controller, and that proved to be very effective, since we obtained as a result a pretty good stability. But all this comes at a price: since we now have two different equilibrium positions, we must use the safety button located on the chassis to determine if we are carrying a person or not; nothing too difficult to implement, though.

On the other hand, the PID coefficients may be trickier to master. We are still working on them to solve the issues we are having, notably oscillations and vibrations that sometimes occur. To help us with the debugging, we set up a solution to plot angle, angular velocity, and output voltage command for each one of the motors. Our next actions on this front will be to use all these data to better tune Kp, Ki and Kd, so as to have a more responsive and stable control algorithm.

Meanwhile, we started to move on to our next goals: we began to study the Bluetooth controller, and are already able to compile and run a « hello world » Android application. Next steps include implementing drivers for our distance sensors to implement obstacle detection.

To summarize all our work, we prepared a special video showing some of the most interesting (and/or funny) demos we made so far. Enjoy!