Rectilinear System Experiment and Modeling Report

The first part of your report is around your laboratory work. It should comply with the following structure and will be marked based on following marking scheme.

• Provide a brief introduction to rectilinear, ECP210. Explain the main objectives of the experiment.

• Plot transient responses for a system ECP210 with one trolley using Matlab script “ECP_rectiliniear_data_step_input_oneTrolley.m” from the folder “Laboratory Experiments: Open-Loop Experiments with ECP210 and ECP210” on BB ENGT 5201.

o NB: Enter the ‘name of file’ with the data you collected during experiment:

Explain trolley transient process response to the step control input. Measure the overshoot, the rise time, the settling time using functions for editing in the Matlab figure.

• Identify the physical parameters of the trolley-spring system (1DoF) using the approach described in this hand note

• Attach the air dashpot to the trolley and tune its valve screw to reduce the overshoot and provide critical damping to the system. Save and plot several transient processes. Give the explanation to the observed results.

In part 2 of your report, you should model the rectilinear machine described in the part 1 with MATLAB/Simulink. By the end of part 1, you identified the physical parameters of the trolley-spring system includes effective mass, damper, stiffness, etc. by using the approach described in this hand note. Now is time to model the in-question system through MATLAB/Simulink. In part 2, you should model all three different scenarios (1DoF system, 1 degree of damped system, and 2DOF system) run in the experiment. The report should comply with the following structure.

• Provide a brief introduction of Matlab/Simulink to model and control a dynamic system in this case rectilinear apparatuses, ECP210. Describe the potential application of this package in engineering. Explain the main objectives of the report.

• Develop a Matlab/Simulink model to plot transient responses for a system ECP210 with one trolley under sinusoids excitation without damper. The parameters of sinusoids excitation are free to choose.

o Apply the PID-based position control for 1DoF rectilinear system model and plot the response of the trolley (describe main principle, differential equation, transfer function)

o How the PID parameters affect the system performance? Plots different PID parameters

o What is the difference between control a system experimentally and with the theoretical model? Assumption, inaccuracy, etc.

• Develop a Matlab/Simulink model to plot transient responses for a system ECP210 with one trolley under sinusoids excitation with damper. The sinusoids excitation parameters are free to choose.

o Apply the PID-based position control for the rectilinear system and plot the response of the trolley (describe main principle, differential equation, transfer function)

o How the PID parameters affect the system performance?

o What is the effect of damping in the model? Plot different damping parameters

• Develop a Matlab/Simulink model to plot transient responses for a system ECP210 with two trolley under sinusoids excitation without damper. The sinusoids excitation parameters are free to choose.

o Apply the PID-based position control for the rectilinear system model and plot the response of the trolley (describe main principle, differential equation, transfer function)

o How the change of the mass in trolley affect the system model performance?

• Conclusion and future work, Conclusion should recall all the materials in the report briefly. Future work is an open question. Please investigate research and applications