I create a 5th order random system using rss() command. Then i get poles using pole() command. I took two conjugate imaginery poles as dominant poles. I produce a characteristic equation with that poles. wn and zeta calculated with that equation. I put zeta value into the overshoot formulation. But it's not true value.

Dominant pole in control system

The location of poles and zeros are crucial keeping view stability, relative stability, The root locus technique in control system was first introduced in the year 1948 by Evans. Any physical system is represented by a transfer function in the form of We can find poles and zeros from G(s). The location of poles and zeros are crucial keeping.

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I create a 5th order random system using rss() command. Then i get poles using pole() command. I took two conjugate imaginery poles as dominant poles. I produce a characteristic equation with that poles. wn and zeta calculated with that equation. I put zeta value into the overshoot formulation. But it's not true value. dominant pole placement is performed successfully. Besides, it is already meaningful for most of the systems to have time domain characteristics between the minimum and maximum desired values. This results the dominant pole pair to be located in a specified region instead of a point, hence, the dominant pole.

The dominant poles mostly exist in conjugate pairs and often, the higher order systems are made that way. To consider a pair of poles as dominant, a general rule that is followed is that the real part of the other poles of the system should be more than five times the real part of the dominant pole pair. By adding a zero or a pole, we can alter.

In the control system shown G is a proportional controller, K. Figure 2: control system Using sisotool determine the following: (a) Range of for system stability. K (b) Value of for the complex dominant-poles damping ration of 0.6. For this value of K obtain the frequency response GM and PM. Also obtain the step.

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