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3 years ago

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A plant of order 50 is to track steps and sinusoids of frequency ω = 1 rad/sec. Write down the form of the pole placement contro

ller which will guarantee stability and tracking. g

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

The term for the pole placement controller is G/(s² + 1) +GH

Explanation:

Solution

Given that:

A plant of order = 50

The sinusoids of frequency ω = 1 rad/sec.

Lt the transfer of equation of plant be represented as follows:

T/F = G/1+GH

= K/ans^50 + ans - 1^49 +........As +a₀

The pole placement order becomes:

Step 1:

Gc (s) =A/s

Now

The transfer function = GGc/1 +GG c H

=G/s + GHA

Step 2:

For sinusoidal controller w = = 1 rad/sec.

Gc (s) = w/s² + w²

= 1 + /s² + 1

Thus

The transfer function = GGc/1 +GGcH

= G/(s² + 1) +GH

the term for the pole placement controller is G/(s² + 1) +GH

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Now that we know the value for k, we can find the moment the murder occur. A crucial information that the question left out is the temperature of a human body when they're still alive. A living human body is about 37ºC. We can use that as out initial temperature to solve this problem because we can assume that the freshly killed body will be around 37ºC.

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