Lecture 2.9

№13

13.2 Identify random processes using their realizations

2nd – stationary process, 1st – not stationary process.

Lecture 2.10.

You have to define the properties of stationary and not stationary processes.

(Time-invariant random processes).

№14

14.2 Identify feedback loops

(1)

(2)

(3)

(4)

(5)

(6)

1, 5proportionalfeedback loops;

another feedback loops – differentiating.

№15

15.2Compare the characteristics of the 2nd order link before and after the introduction of the feedback differentiating loop:

z(t)
x(t)

Thus, we have the change only in dynamic characteristics (transient characteristics).

15.3 Define the order of the control system’s differential equations and define their stability indicators using Mikhailov stability criterion (the 2nd locus goes through the origin).

 

System 1 – 5th order, stable

System 2 – 5th order, marginally stable.

To increase your grade you have explain the fundamentals of the Mikhailov stability criterion.