Alperen Ertürk

Control Systems Projects

Maglev Mathematical Design

Goals

  1. Derive the mathematical models from the electrical and mechanical systems.

  2. Analyze the transfer-function based control model:

    • Find the transfer functions I(s)/Ein(s) and Z(s)/I(s).
    • Construct the feedback system using a proportional controller C(s) = Kp and plot the root locus.
    • Attach the lead compensator C(s) = K * (s + 40) / (s + 160) in the feedback system and plot the root locus.

  3. Simulate the feedback system with reference position zref = 0.003 m:

    • Build the SIMULINK model using transfer functions from (2a) and add the controller C(s) = 1780 * (s + 40) / (s + 160) + 1.2 / s. Plot z(t) vs. t for 1 second.
    • Build a second SIMULINK model by replacing transfer functions with the nonlinear model from (1) and plot z(t) vs. t.
    • Explain observations and compare the resulting responses.
Open

Airplane Longitidual Mathematical Design

Goals

  • a. Derive the transfer function and state space model according to the system input and output. Show your solutions step by step.
  • b. Define the transfer function and state space models in a Matlab Script. Add the required codes into your report. Find zeros and poles of the transfer function and comment on the stability of the system. What is the system order?
  • c. Find the step response.
  • d. Build a block diagram in Matlab/Simulink by using the equations and plot output by giving a step input. Show your final Simulink model and plots.
Open