Understanding Root Locus in Controller Design

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What does the root locus method show as the gain K is varied?

The positions of the roots of the characteristic equation

What does relative stability indicate?

The degree of stability of the system

What does absolute stability refer to?

The degree of stability of the system

What is the purpose of using the root locus technique in controller design?

To find how a positive controller design parameter affects the resulting CL poles

What does the number of zeros at infinity indicate in the root locus method?

The number of branches of the root locus that go to infinity (asymptotes)

What does the root locus technique show by varying the gain K from zero to infinity?

The positions of the roots of the characteristic equation

What does the number of zeros at infinity indicate in the root locus method?

The number of branches of the root locus that go to infinity

In controller design, what does absolute stability refer to?

Whether the system is stable or unstable

What is the significance of relative stability in controller design?

Gives the degree of stability or how close it is to instability

How many branches must the root locus have if a system has n poles and m zeros (m < n)?

$n-m$

What does the root locus method define as the gain K is varied?

The positions of the poles of the characteristic equation

In controller design, what does absolute stability refer to?

Stability regardless of the value of gain K

What is the significance of relative stability in controller design?

Gives the degree of stability or how close it is to instability

What does the number of zeros at infinity indicate in the root locus method?

The number of branches of the root locus

How many branches must the root locus have if a system has n poles and m zeros (m < n)?

$n-m$

Learn about root locus, the path of closed loop poles by varying the gain K from zero to infinity. Explore how the Root Locus technique is used to find the effect of a controller design parameter on the resulting closed loop poles, aiding in choosing the right value for the controller parameter.

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