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Automation Systems - exercises - lecture 4

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Automation Systems - exercises - lecture 4

Lecturer: Jakub Mozaryn, e-mail: j.mozaryn@mchtr.pw.edu.pl March 14, 2018

NAME:

SURNAME:

GROUP:

1 Exercise 1

Derive the transfer function for negative feedback loop.

2 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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3 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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4 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.

1plots can be generated in Matlab or Octave

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