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Lecture 2.6




22.3 Define step response characteristic for the following control system (at zero initial conditions).

x(t)
z(t)

Motion equation:

(9.9)

where

T some constant (with time-base dimension)

K amplification coefficient.

(9.10)

Examples:

- a dc generator (motor) with independent excitation;

- RC contour.

Lecture 1.5a:

(9.11)

(9.12)

23

23.1Define the equations of the Mikhailov locus in order to define marginal stability for the following control system.

The open-loop transfer function:

The closed-loop transfer function:

The characteristic polynomial:

Stability condition may be obtained from the alternation of the roots:

Taking into account the condition we have

The condition of marginal stability:

24

24.1Define the equations according to the Nyquist criterion in order to define the stability indicators for the following control system.

The open-loop transfer function:

To define the stability indicators of this control system its necessary to define the poles of the denominator and take into account the Nyquist stability criterion.





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