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Automation Systems - exercises - lecture 6

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Automation Systems - exercises - lecture 6

Lecturer: Jakub Mozaryn, e-mail: j.mozaryn@mchtr.pw.edu.pl March 26, 2019

Exercise 1

For a control system with negative feedback, presented in Fig. 1, prove intu- itively, that step change in the input will allow the system to obtain steady state.

Figure 1: Block diagram 1

Hint: assume that G(s)disturb = 1, G(s)actuator = 1, G(s)process = kprocess, G(s)sensor = 1, G(s)controller = kcontroller, kprocess = const ∈ R, kcontroller = const ∈ R.

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Exercise 2

Write down necessary substitutions that allow to rewrite the PID block diagram from Fig. 2 to the PID block diagram presented in Fig. 3.

Figure 2: PID - block diagram 1

Figure 3: PID - block diagram 2

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