Answer:
the action or process of differentiating or distinguishing between two or more things or people.
Answer:
type 2, k = 4
Explanation:
(a) The transfer function of the controller for a satellite attitude control is
The transfer function of unity feedback structure is
To determine system type for reference tracking, identify the number of poles at origin in the open-loop transfer function.
For unity feedback system, the open-bop transfer function
Determine the poles in G(s)4(s).
s = 0,0,-5
Type of he system is decided by the number of poles at origin in the open loop transfer function.
Since, there are two poles at origin, the type of the system will be 2.
Therefore, the system type is
Type 2
check the attached file for the concluding part of the solution
Answer:
<u>Eo = A/[-nB/A]^(1/n-1) + B/[-nB/A]^(n/n-1)</u>
Explanation:
<u>Step 1.</u>
Taking derivative of the equation with respect to 'r' we get:
d/dr(EN) = - A/r² - nB/r^(n+1)
Setting this equation to zero:
<u>Step 2.</u>
Solving for r:
- A/r² - nB/r^(n+1) = 0
A/r² + nB/r^(n+1) = 0
Ar^(n+1) + nBr² = 0
Ar^(n+1) = - nBr²
[r^(n+1)]/r² = - nB/A
r^(n+1-2) = - nB/A
r^(n-1) = - nB/A
Taking power 1/(n-1) on both sides:
r = [-nB/A]^(1/n-1)
This is the value of ro:
ro = [-nB/A]^(1/n-1)
<u>Step 3.</u>
Substituting value of ro in eqn we get value of Eo
<u>Eo = A/[-nB/A]^(1/n-1) + B/[-nB/A]^(n/n-1)</u>
Answer:
-2/√3 atan ((2t + 1)/√3) + C
Explanation:
∫ (t − 1) / (1 − t³) dt
Factor the difference of cubes:
∫ (t − 1) / ((1 − t)(1 + t + t²)) dt
Divide:
∫ -1 / (1 + t + t²) dt
-∫ 1 / (t² + t + 1) dt
Complete the square:
-∫ 1 / (t² + t + ¼ + ¾) dt
-∫ 4 / (4t² + 4t + 1 + 3) dt
-∫ 4 / ((2t + 1)² + 3) dt
If u = 2t + 1, du = 2 dt:
-∫ 2 / (u² + 3) du
Use an integral table, or use trigonometric substitution:
-2 (1/√3) atan (u/√3) + C
-2/√3 atan (u/√3) + C
Substitute back:
-2/√3 atan ((2t + 1)/√3) + C