Automation Systems - exercises - lecture 4
Lecturer: Jakub Mozaryn, e-mail: j.mozaryn@mchtr.pw.edu.pl March 11, 2019
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Exercise 1
Derive the transfer function for negative feedback loop.
Exercise 2
Calculate the transfer function for the block diagram given in Fig. 1 - draw most important steps of a diagram simplification.
Figure 1: Block diagram 1
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Exercise 3
Calculate the transfer function for the block diagram given in Fig. 2 - draw most important steps of diagram simplification.
Figure 2: Block diagram 2
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Exercise 4
For the system given in Fig. 3 determine1: block diagram, transfer function, static characteristic, Nyquist and Bode plots, step response. Where:
Figure 3: Automation system
• x(t), y(t), α1(t), α2(t), α(t), β(t), γ(t) - displacements,
• a, b, c - lenghts,
• T1, T2 - time constants.
Exercise 5
There is given a block diagram for the system . Derive the differential equations describing this system and its static characteristics.
1plots can be generated in Matlab or Octave
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Figure 4: Schemat blokowy do zadania 4
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