Introduction to Control Systems
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METR4201: Introduction to Control Systems
Assignment Aligned to Practical 2
Learning objectives
• LO1.3 Represent and simulate systems models by block diagrams and
transfer functions in MATLAB and Simulink.
• LO1.5 Find the Laplace Transform of common mathematical functions
and linear ordinary differential equations using both first principles
and mathematical tables.
• LO1.6 Construct transfer functions for linear dynamic systems from (i)
differential equations and (ii) reduction of block diagrams.
• LO1.7 Determine the response of a system to an arbitrary input and
having arbitrary initial conditions using the Laplace Transform. LO 1.3 LO 1.5 LO 1.6 LO 1.7
Q1: Compute Laplace transform •
Q2: Construct transfer function •
Q3: Obtain response in Simulink •
Q4: Obtain response via inverse Laplace transform •
Introduction
This assignment is aligned with the work you will complete in Practical 2. It involves
• Forming a transfer function for a mechanical system from provided
equations of motion
• Developing a Simulink model of that system.
• Using Simulink to predict the time response of the plant to impulse, step,
and sinusoidal inputs.
• Using analytical methods to validate and interpret the time response.
You should submit your solution by Turn-it-in on Blackboard. Your report should be
kept brief but readable. It will be marked against the provided rubric. Your report
should be computer readable but you do not need to overproduce it. Marks are
not given for executive summaries, bibliographies, or tables of contents.