Laboratorio 8 svolto per l'esame di Automatic control

Problem 2

An LTI dynamical system is described by its transfer function supposed minimal and with real singularities (zeros and poles). The asymptotic Bode diagrams of such a transfer function are reported below.

Based on the given Bode diagrams only, evaluate if possible, the steady state response ε(t) when the input is u(t) = (1 + sin(200t)).

Automatic Control – M. Canale AC-Lab08

Problem 3

Repeat Problem 3 considering the Bode diagrams below.

Automatic Control – M. Canale AC-Lab08

Problem 4: Graphical representation of the frequency response

Consider the following transfer functions:

1. L(s) = 5
2. L(s) = (s^3 + 0.25)
3. L(s) = (s^2 + 2s + 1) / (0.5s + 1)
4. L(s) = (2s^2 + s - 1) / (s^2 + s - 1)

For each plot the Bode diagrams using the MatLab statement bode and check the correctness of each plot based on the zeros and poles properties (may be also helpful to draw the asymptotic diagrams by hand). Take into account that the statement may add +/- 360° when.

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