Recent content by docsxp

  1. docsxp

    Kalman filter with mixed frequency

    I perform my KF at the highest rate that my sensor offers (100hz). When your GPS is not producing any data you can reflect that by modifying your H matrix accordingly. Note that IMU data shouldn't be dropped but should be averaged if you're going for a slower rate.
  2. docsxp

    How to Convert State Equations to a State Transition Matrix for a Kalman Filter?

    Can anyone point me in the right direction?
  3. docsxp

    How to Convert State Equations to a State Transition Matrix for a Kalman Filter?

    I think this is not how it should be done, but I should create a Jacobian matrix for F.
  4. docsxp

    How to Convert State Equations to a State Transition Matrix for a Kalman Filter?

    I am sorry, I should have asked the question in a proper manner. I will outline my system and derivation here. The system is a robotic platform with a high grade 9-axis (non FOG) IMU and a velocity sensor. The system has 6-dof, but I want to assume 4-dof for simplicity as well as mechanical...
  5. docsxp

    How to Convert State Equations to a State Transition Matrix for a Kalman Filter?

    I have my state vector containing $$[X, Y, v_x, v_y, \theta, r, a_x, a_y, b_{\theta}]^T$$ and I have them related by $$dX = v_x cos \theta - v_y sin \theta\\ dY = v_x sin \theta + v_y cos \theta\\ dv_x = a_x\\ dv_y = a_y\\ d\theta = r\\ dr = 0\\ da_x = 0\\ da_y = 0\\ db_\theta = 0\\ $$ Now...
  6. docsxp

    AC motor with series RL and parallel capacitor

    gneill, thanks for sticking with me for this long. Anyway I did the question again. Using the combined impedance ##Z = \frac{1}{\frac{1}{j\omega L} + j\omega C}## we can actually calculate after simplification. However this system will be most efficient when there is no complex reactance, that...
  7. docsxp

    AC motor with series RL and parallel capacitor

    Like resistors in parallel. ##Z = \frac{1}{\frac{1}{j\omega L} + j\omega C}## But this will give rise to a very complex impedance. Unless we leave it in ##\frac{1}{Z}## form. I will try again with the corrected formula.
  8. docsxp

    AC motor with series RL and parallel capacitor

    So I attempted the question again and I'm still confused. When you say that I have to use ##v_a## do you mean the magnitude or do I have to treat it as a phasor? If we're focusing on magnitude then, ##i_a = \frac{v_a}{\sqrt{R^2 + (\omega L)^2}}## ##21.21 = \frac{325.269}{\sqrt{R^2 + (\omega...
  9. docsxp

    AC motor with series RL and parallel capacitor

    When you use ##|Z| e^{j\Phi}## notation do you not use ##V_{peak}##? Do you still use ##V_{rms}##?
  10. docsxp

    AC motor with series RL and parallel capacitor

    Hello, this is not a homework question, but is a past year exam question which I'm stumped at. Any help will be appreciated. 1. Homework Statement We're designing a current reduction system for an AC motor which is modeled as an inductor ##L##in series with a resistor ##R##. This motor is...