Recent content by Leo Liu

  1. Leo Liu

    (Control) Derivative filter and discrete model

    Hi I am back :). I have been doing some Simulink modeling for a project. I modeled it with a discrete system due to the controller rate. I have noticed that for all the discrete system I have tried, adding a derivative filter not only improves the performance (smaller settling time), but it is...
  2. Leo Liu

    How to take the double integral of a data set with respect to time

    One more question: Suppose the acceleration ##\ddot x## is approximately constant during a finite ## \Delta t##, is the displacement due to this contribution best described by ##\frac 1 2 \ddot x (\Delta t)^2## or ##(\ddot x \Delta t)\Delta t##?
  3. Leo Liu

    How to take the double integral of a data set with respect to time

    Can I do this on an Arduino? It needs to be computed real time.
  4. Leo Liu

    How to take the double integral of a data set with respect to time

    Question: Suppose I have a data file for the acceleration of an object after every ## \Delta t_i##, how do I obtain the displacement of it? Context: Integral in a PID loop, although not exactly what I am asking as one is sum of error: $$\int_0^T \int_0^T \ddot {\vec \theta(t)}dtdt$$ the other...
  5. Leo Liu

    Using Arduino to Obtain Absolute Orientation from a 6-Axis Gyro

    My IMU module is actually able to do a sensor fuse though all the calculations are done in a black box. I have made this post to understand what's going on behind the scene, but I guess I will just use that for now. Thanks for the help.
  6. Leo Liu

    Using Arduino to Obtain Absolute Orientation from a 6-Axis Gyro

    Haven’t decided yet. Most likely TVC without fins. But for now I just want to record data during a flight.
  7. Leo Liu

    Using Arduino to Obtain Absolute Orientation from a 6-Axis Gyro

    Does integrating the body rates give the true orientation? How do I convert body rates to angular speeds under an inertial frame?
  8. Leo Liu

    Using Arduino to Obtain Absolute Orientation from a 6-Axis Gyro

    The gyro has 6 inertial axes and 3 magnetic axes. How do I make them work together to get the orientation of the rocket in the reference fixed to the ground? I found something from Matlab but I am not sure how it works...
  9. Leo Liu

    Does an airliner use elevator in a coordinated turn?

    So I understand that for an airliner to make a turn, the plane has to use ailerons to roll to one side to shift the lift to create a centripetal acceleration, and because of the drag difference of the two wings, the rudder might also turn to that direction to correct for the adverse yaw. I'd...
  10. Leo Liu

    The choice of sweep angle (low speed) and its impact on C_L, C_D, C_M

    If the flights of our model plane are designed to be powered throughout, will it change the requirement here? We don't want to waste energy by making the plane climbing up. The wingspan is a mere 600mm so we can only use two coreless DC motors to power the flying wing. Hmmmm our plane will use...
  11. Leo Liu

    The choice of sweep angle (low speed) and its impact on C_L, C_D, C_M

    Thanks for the answers. By stability I actually meant longitudinal stability rather than directional. From my understanding the wing sweep shifts the lift behind the CoM, but I don't quite understand how this works without reflex which creates a positive moment about the aerodynamic center...
  12. Leo Liu

    The choice of sweep angle (low speed) and its impact on C_L, C_D, C_M

    My school's group project is to design a powered model flying wing that can fly for as long as possible. To make it stable in the longitudinal direction, we either have to use a swept wing design or an airfoil with reflex (like BR1). We are forced to use wing sweep because the airfoil with...
  13. Leo Liu

    Analyzing the Effects of Battery Position on ##C_m-\alpha## Graph

    I am trying to determine how the addition of a counterweight affects the ##C_m-\alpha## (in longitudinal direction) graph for a model plane project, where the counterweight can be considered as the battery. Suppose we try to place the battery at the back of the current CoM. The new CoM will...
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