Lecture 2.6
22.3 Define step response characteristic for the following control system (at zero initial conditions).
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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:
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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 it’s necessary to define the poles of the denominator and take into account the Nyquist stability criterion.