Select the compensator zero to cancel one pole of GHP(z) {other than z=1}. α = Determine 3 based on the angle condition: zeros - 4poles = 180° You need to draw a figure as the Figure below to calculate ß = Im z-plane z = a + ib Zero of GHP(Z) Zzero Zpole(B) 0 B Figure: Determine ß Zpole(1) pole 1 of GHP(z) Re
The angle condition is: Zzero- (pole(1) + 4pole(B))= 180º Zzero = Zpole(1) = Zpole(B) = Determine the compensator gain k based on magnitude condition: z-α Gc (2) GHP (2)|2=a+ jb = 1 → k Ghp(2) = 1 z-ß |z=a+jb 1 k z-α GHP(z) |z-ß |z=a+jb Write down the final compensator (PID Controller) transfer function Gc(z)=kz-a z-ß
Answers
Analyze system dynamics and design compensator to achieve desired response by selecting compensator zero and canceling one pole of GHP(z).
How to select the compensator zero cancel one pole of GHP(z)?To select a compensator zero to cancel one pole of GHP(z), we need to use the given angle condition:
Zzero - (pole(1) + Zpole(B)) = 180°
Here, Zzero represents the compensator zero, pole(1) represents the first pole of GHP(z), and Zpole(B) represents the compensator pole.
Let's proceed with the solution step by step:
1. First, we need to determine the value of Zzero. The angle condition states that Zzero = Zpole(1), which means the compensator zero is equal to the first pole of GHP(z).
2. Now, we need to find the value of Zpole(B). We can rewrite the angle condition as follows:
Zpole(B) = Zzero - pole(1) + 180°
Since we already know that Zzero = Zpole(1), we can substitute Zzero in the above equation:
Zpole(B) = Zpole(1) - pole(1) + 180°
Simplifying further:
Zpole(B) = 180°
Therefore, the value of Zpole(B) is 180°.
To summarize, we can select the compensator zero (Zzero) to cancel one pole of GHP(z) as Zpole(1), and the compensator pole (Zpole(B)) is determined to be 180° based on the given angle condition.
Learn more about compensator
brainly.com/question/11212342
#SPJ11
Related Questions
2. a car driving on the highway is moving at 60 miles per hour. as the car nears an exit ramp, the car slows to 35 miles per hour, a speed that is maintained throughout the circular path of the exit ramp. what force is keeping the car on its path (i.e. in circular motion)?
Answers
The force that keeps the car on its circular path as it exits the ramp is centripetal force.
Centripetal force is the force that acts on an object moving in a circular path, directed towards the center of the circle. In the case of the car, the centripetal force is provided by the frictional force between the tires and the road surface. This frictional force acts towards the center of the circular path, allowing the car to maintain its speed and direction as it moves around the exit ramp.
Without this centripetal force, the car would continue moving in a straight line and would not be able to follow the circular path of the exit ramp.
You can learn more about centripetal force at
https://brainly.com/question/20905151
#SPJ11
Audent se when the stone me themelo CD The student semblance theo of the a) 2 shows the rings to them and 52.00 450 Mao Mass of Flo.2.1 Record the mass shown by the balance in Table 21 Table 2.1 object mas volumelom density in g/cm A 131 25 10.1
Answers
Answer:huh
Explanation:
A sample of an ideal gas expands to twice its initial volume. In which type of expansion does the gas perform the least work?
A) A free expansion, in which the gas expands suddenly into a vacuum
B) A slow, gradual expansion in which heat is added to the gas
C) A rapid isothermal compression of the gas to half its initial volume, followed by a slow expansion in which heat is added
Answers
A free expansion, in which the gas expands suddenly into a vacuum, is the type of expansion in which the gas performs the least work. So correct option is A).
What do you mean by ideal gas?An ideal gas is a theoretical gas that is considered to have several idealized characteristics. These include:
No intermolecular forces: The particles in an ideal gas are considered to occupy a large volume relative to the size of the individual particles, and they are not considered to interact with one another through intermolecular forces.Completely random motion: The particles in an ideal gas are considered to move randomly in any direction, with no preferential direction of motion.Point-like particles: The particles in an ideal gas are considered to be point-like, with no size or structure.Constant volume: The volume of an ideal gas is considered to be constant and does not change with pressure or temperature.These idealized conditions are used to make predictions about the behavior of real gases in various physical systems, and the concept of an ideal gas is a useful tool for understanding and modeling the behavior of gases.
During a free expansion, no external forces are acting on the gas, and no work is done by or on the gas. This is because work is defined as the transfer of energy from one system to another, and in a free expansion, the gas is isolated from its surroundings, so no energy transfer takes place. In contrast, during a slow, gradual expansion in which heat is added to the gas, or a rapid isothermal compression of the gas followed by a slow expansion in which heat is added, external forces are acting on the gas, and work is done on the gas. In these cases, the gas performs more work because energy is transferred from the surroundings to the gas.
To know more about isothermal visit:
https://brainly.com/question/17192213
#SPJ4
Which of the following objects is transforming electrical energy into energy of motion? (2 points)
A.
B.
C.
D.
Answers
Answer:
B
Explanation:
B because loudspeakers convert electrical energy into motion of the diaphram and thus into sound energy.
An outfielder throws a baseball to home plate with a velocity of 27 m/s at 35o. It is caught by the first baseman. How long was it in the air
Answers
Answer:
Explanation:
Initial velocity of the ball = 27 m /s .
Its vertical component = 27 sin 35 = 15.48 m /s
Considering vertical displacement to the top point ,
initial velocity u = 15.48 m /s
acceleration due to gravity g = 9.8 ,
velocity at the top v = 0
v = u - gt
0 = 15.48 - 9.8 t
t = 15.48 / 9.8 = 1.579 s
So time of ascent = 1.579 s
Similarly , time of descent = 1.579
Total time of flight = 2 x 1.579
= 3.16 s
The urban legend of the car thief is an example of what theme?
Societal Change
A Common Fear
A Cautionary Tale
A Prank
Answers
The urban legend of the car thief is an example of A Cautionary Tale.
What is the Cautionary Tale?A cautionary tale makes reference to a given tale aimed at the warning the person of some type of danger, which is generally used to alert about a given behavior and may be very useful to modify a behavior pattern in children.
Therefore, with this data, we can see that A cautionary tale is based on warning and can help to modify certain behavior in c children depending on the ability to create conscious.
Learn more about the cautionary tale here:
https://brainly.com/question/31241692
#SPJ1
elon musk of space-x plans to send a human crew to the nearby proxima centauri star system by 2050. true false
Answers
This statement is false .
Space-X is only planning for Mars colonization. Alpha centauri is just a proposal. so, it is False
Entrepreneur Elon Musk founded SpaceX as for reshaping the aerospace sector and bringing about a more accessible type of space travel. With the Falcon 1 rocket, a two-stage, liquid-fueled vehicle built for launching miniature satellites into orbit, the corporation entered the fray.
In accordance with the NASA Commercial Crew Program, this is the sixth SpaceX flight to carry people, including the Demo-2 test voyage to the space station in 2020.
Entrepreneur Elon Musk founded SpaceX in the goal of reshaping the aerospace sector and bringing about a more accessible type of space travel.
Learn more about Space-x here:- https://brainly.com/question/29786302
#SPJ4
A researcher warts to test the hypothesis that the awerage number of mles that a 2010 Honda Clvic can drive after its gas meter reads as empty is greater than 30 . She collects data from a sample of 50 cars and finds a sarmole mean of 37 . She assumes the standart deviation is 8 based on the literature about car manufacturing- What is the test statistic (Z-score)? 1.99 2.86 b.19 4.55
Answers
The test statistic (Z-score) is approximately 4.95.
To calculate the test statistic (Z-score) for this hypothesis test, we can use the formula:
Z = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))
Sample mean (X-bar) = 37
Hypothesized population mean (μ) = 30
Standard deviation (σ) = 8
Sample size (n) = 50
Substituting these values into the formula, we get:
Z = (37 - 30) / (8 / sqrt(50))
Z = 7 / (8 / 7.071)
Z = 7 / 1.414
Z = 4.95 (rounded to two decimal places)
A statistical hypothesis test is a technique for determining if the available data are sufficient to support a certain hypothesis. We can make probabilistic claims regarding population parameters using hypothesis testing.
To know more about hypothesis test
https://brainly.com/question/17099835
#SPJ11
A student jumps from a flat surface with an initial velocity of 15ms. If the distance covered is 3m. What is the acceleration due to gravity and the time?
Answers
Answer:
the acceleration due to gravity, g is zero (0)
the time of the motion is 0.2 s
Explanation:
Given;
initial velocity of the student, u = 15 m/s
distance traveled by the student, x = 3 m
The motion of the student is directed towards the horizontal and the acceleration due to gravity, g is zero (0).
The time of the motion is calculated as;
x = ut + ¹/₂gt²
x = ut + ¹/₂(0)t²
x = ut
t = x/u
t = 3 / 15
t = 0.2 s
Therefore, the time of the motion is 0.2 s
Which part of the heating curve corresponds with the boiling of liquid water?
Answers
Answer:
the part of heating of corresponds to showing how the temperature changes as a substance for a constant rate
let me know if you need any details
answer the liquid phase which is segment c explanation to quiz
two charges have a force of 8 n between them when the distance between them is suddenly increased by a factor of 2. the new force will be _________ n
Answers
When the distance between them is suddenly increased by a factor of 2. the new electrostatic force will be 2 N.
We need to know about electrostatic force to solve this problem. The electrostatic force is a force caused by two charges separated at a distance. It can be determined as
F = k . Q1 . Q2 / r²
where F is force, k is coulomb's constant (9 x 10⁹ Nm²/C²), Q is charge and r is radius.
From the question above, we know that
F1 = 8 N
r1 = r m
r2 = 2r1 = 2r
For this question, we can apply the ratio of initial and final force
F1 / F2 = k . Q . Q / r1² / k . Q . Q / r2²
F1 / F2 = r2² / r1²
F1 / F2 = (2r)² / r²
F1 / F2 = 4r² / r²
F1 / F2 = 4
F2 = 1/4 . 8
F2 = 2 N
Find more on electrostatic force at: https://brainly.com/question/17692887
#SPJ4
i need help for physics this is due todayyyyy
Answers
Answer
you need to give the speed (velocity)
Explanation:
with the speed given you input that into d= v*t
you know one hour or 60 minutes or 3600 seconds which are all equivalent and you can use any as the units need to be the same to do any equation and multiply that by the speed that you have already
If two identical airplanes are loaded such that one has the CG at the forward limit, and the other has the CG at the aft limit:
Group of answer choices
The airplane with the CG at the forward limit will go faster
The airplane with the CG at the aft limit will go faster
CG will not affect speed
The airplane with the CG at the forward limit is more likely to stall during the takeoff roll
Answers
If two identical airplanes are loaded such that one has the CG at the forward limit, and the other then the correct answer is: CG will not affect speed.
The position of the center of gravity (CG) affects the stability and control of an airplane, but it does not directly affect its speed. The speed of an airplane is determined by factors such as engine power, aerodynamic design, and external conditions (e.g., wind). The position of the CG primarily influences the longitudinal stability of the aircraft and its tendency to pitch up or down.
Therefore, the speed of the airplanes, in this case, would not be affected by the position of the CG. The airplane with the CG at the forward or aft limit may have different stability characteristics, but their speeds would not be inherently different due to CG placement alone.
Learn more about CG here:
https://brainly.com/question/30730086
#SPJ11
Explain that sound is a longitudinal wave that has a frequency, wavelength, and speed.
Answers
Hope it helps x
What does an increases in concentration do to a material?
Answers
Answer:
it will increase the frequency of collisions between the two reactants
Explanation:
mark brainliest?
El Sol radia energía electromagnética a un tasa de P = 3. 85×1026 W. A) ¿A qué distancia del Sol la intensidad disminuye hasta 1000 W/m2
Answers
Sabiendo la tasa de energía electromagnética que el sol radi, la distancia a la cual la intensidad disminuye a 1000 W/m² es de 6.96×10¹⁰ m metros o 69.6 millones de kilómetros.
La intensidad de la energía electromagnética emitida por el Sol disminuye a medida que se aleja del Sol. Esta disminución está dada por la ley del cuadrado inverso, que establece que la intensidad es inversamente proporcional al cuadrado de la distancia desde la fuente.
La intensidad de la energía electromagnética se puede calcular mediante la siguiente fórmula:
I = P / 4πr²
Donde I es la intensidad, P es la potencia del Sol, y r es la distancia desde el Sol.
Si queremos encontrar la distancia a la cual la intensidad disminuye a 1000 W/m², podemos despejar r de la fórmula y sustituir los valores conocidos:
1000 = 3.85×10²⁶ / 4πr²
r² = 3.85×10²⁶ / (1000 × 4π)
r = √(3.85×10²⁶ / (1000 × 4π))
r = 6.96×10¹⁰ m
Aprende más sobre la energía electromagnética en https://brainly.com/question/17002151.
#SPJ11
if a boat and its riders have a mass of 1000 kg and the boat drifts in at 1.8 m/s how much work does sam do to stop it?
Answers
\(\rm \text{Work} = -1620 \, \text{Joules} \]\)
The negative sign indicates that Sam does negative work, which means he exerts a force in the opposite direction of the displacement, decelerating the boat to a stop.
To calculate the work done by Sam to stop the boat, we need to use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
Given:
Mass of the boat and its riders \(\rm (\(m\))\) = 1000 kg
Initial velocity of the boat \(\rm (\(v_{\text{initial}}\))\) = 1.8 m/s
Final velocity of the boat \(\rm (\(v_{\text{final}}\))\) = 0 m/s (as it comes to a stop)
The kinetic energy of the boat initially is given by:
\(\rm \[ KE_{\text{initial}} = \frac{1}{2} m v_{\text{initial}}^2 \]\)
The kinetic energy of the boat finally is given by:
\(\rm \[ KE_{\text{final}} = \frac{1}{2} m v_{\text{final}}^2 \]\)
As the boat comes to a stop, the final kinetic energy \(\rm (\(KE_{\text{final}}\))\) is zero. Therefore, the work done by Sam to stop the boat is:
\(\rm \[ \text{Work} = KE_{\text{final}} - KE_{\text{initial}} = 0 - \frac{1}{2} m v_{\text{initial}}^2 \]\)
Substitute the given values:
\(\[ \text{Work} = 0 - \frac{1}{2} \times 1000 \times (1.8)^2 \]\\\\\ \text{Work} = -\frac{1}{2} \times 1000 \times 3.24 \]\\\\\ \text{Work} = -1620 \, \text{Joules} \]\)
The negative sign indicates that Sam does negative work, which means he exerts a force in the opposite direction of the displacement, decelerating the boat to a stop.
Know more about kinetic energy:
https://brainly.com/question/999862
#SPJ12
true or false? Most forces occur in pairs, such as when
you push against the floor with your
feet, the floor pushes back on your feet,
but there are a few exceptions where a
single force can occur without being in
an interaction of two forces.
Answers
If a car traveled 100 km in 2 hr, what was its average speed in km/hr?
average speed =
d =
t =
Answers
Answer:
Average speed will be 50km/hr
Explanation:
Distance/Time
100/2
50kmph
plz mark as brainliest
Answer:
50km/hr
Explanation:
avgspeed=Δdistance/Δtime
Δd=100km
Δt=2hr
=100km/2hr
=50km/hr
Why do some substances dissolve in water, but other substances do not?
Answers
Answer:
It has to do with the polairity of said molelule. If you have vegetable oil, for example, it will not disolve in water because the oil is a non-polar compound, unlike water which is polar. The bond dipoles and differences in electronegetivity in the molecule results in this.
An airplane needs to reach a forward velocity of 203 km/h to take off. On a 2000m runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?
Answers
Answer:
Minimum uniform acceleration in Km/hr² is 20,505.05 km/hr²
Explanation:
In other to determine the acceleration, we can use the formula below
acceleration = velocity/time
Time wasn't given in the question, hence we calculate for time using the parameters given and the formula below
Velocity= distance/time
time = distance/velocity
distance = 2000m ⇔ 2km
time = 2/203
time = 0.0099
Hence, we look for acceleration
which is
acceleration = 203/0.0099
= 20,505.05 km/hr² ⇔ 2.0 × 10⁴
How much clothes should be applied on 100 cm² area using pressure of 25 Pa
Answers
Answer:
hi !
Pressure = Force/Area
Force = Pressure*Area
Pressure = 25 Pa
Area = 100 cm² = 0.01 m²
F = 25*0.01
= 0.25 N
Explanation:
A track and field athlete is running forward with a javelin at a
velocity of 4.2 m/s. If he throws the javelin at a velocity relative
to him of 10.3 m/s, what is the velocity of the javelin relative to the ground?
Please help
Answers
Explanation:
The relative velocity is the velocity of the athlete relative to the ground plus the velocity of the javelin relative to the athlete.
v = 4.2 m/s + 10.3 m/s
v = 14.5 m/s
The relative velocity of the javelin relative to the ground be 14.5 m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Velocity of the athlete: u = 4.2 m/s
Velocity of the javelin related to him: v = 10.3 m/s.
The relative velocity of the javelin relative to the ground is the velocity of the athlete relative to the ground plus the velocity of the javelin relative to the athlete.
So, The relative velocity of the javelin relative to the ground is:
V = 4.2 m/s+ 10.3 m/s
⇒ V= 14.5 m/s
Hence, the relative velocity of the javelin relative to the ground be 14.5 m/s.
Learn more about velocity here:
https://brainly.com/question/18084516
#SPJ2
What is the mass of a ball that is moving at 25 m/s and has 93.75 kg*m/s of momentum ?
Answers
Answer:
m = 3.75 [kg]
Explanation:
We must remember that momentum is defined as the product of mass by Velocity, therefore it can be represented by means of the following equation.
\(P=m*v\)
where:
P = momentum = 93.75 [kg*m/s]
m = mass [kg]
v = velocity = 25 [m/s]
Now replacing, we can clear the mass:
\(P=m*v\\m=P/v\\m=93.75/25\\m=3.75 [kg]\)
8. What is one key physical difference between
transition metals and poor metals?
a. Atomic mass
b. Hardness
c. Reactivity
d. Charge
Answers
4. A lamp in a circuit has 4 Amps of current. If there is 32 12 of resistance
in the lamp, what is the voltage?
Answers
Answer:
your mum because I don't know how to explain why she was doing it but I think I have to do it myself again but it was just the way
When does an object moving in a straight line at constant speed have a non-zero angular momentum?
a) never
b) always
c) sometimes
Answers
Answer: Yes, it can be possible that an object have non zero angular momentum.
Explanation:
There is a concept of frame of reference.
When your frame of reference is not on that straight line where the object is moving then the object will have non zero angular momentum .
to know more about angular momentum,
https://brainly.com/question/29433462
Which of the following products will have elastic demand (alcohol, gasoline, travel souvenirs, cigarettes)
Answers
The product among alcohol, gasoline, travel souvenirs, cigarettes that will have elastic demand is cigarettes.
What is elastic demand?Elastic demand refers to a situation in which a change in the price of a good or service results in a more significant change in the amount demanded. When the percentage change in quantity demanded is greater than the percentage change in price, the demand for the product is said to be elastic.
When the quantity demanded of a product decreases significantly when the price rises, the demand for the product is said to be elastic. Similarly, when a slight change in price causes a significant change in quantity demanded, the demand is said to be elastic. Conversely, if a product's price increases by a small percentage, and the demand for the product decreases by a smaller percentage, the demand for the product is said to be inelastic.
Cigarettes, of all the products listed above, are likely to have an elastic demand.
This is because smokers who are addicted to cigarettes are more likely to quit smoking or reduce their consumption in response to an increase in the price of cigarettes compared to the other goods.
Thus, a slight increase in the price of cigarettes is likely to cause a significant decrease in the number of cigarettes consumed.
learn more about elastic demand here
https://brainly.com/question/1048608
SPJ11
Question Content Area Texas Inc. has 5,396 shares of 4%, $100 par value cumulative preferred stock and 96,402 shares of $1 par value common stock outstanding at December 31. What is the annual dividend on the preferred stock
Answers
The annual dividend on the preferred stock is $21,584. In order to calculate the annual dividend on Texas Inc.'s preferred stock, we'll need to use the information provided about shares outstanding, par value, and the dividend rate.
Texas Inc. has 5,396 shares of 4%, $100 par value cumulative preferred stock. Here's how to calculate the annual dividend:
1. Determine the par value per share: $100
2. Multiply the par value by the dividend rate (4%): $100 * 0.04 = $4
3. Multiply the dividend per share by the number of shares outstanding (5,396): $4 * 5,396 = $21,584
The annual dividend on the preferred stock is $21,584.
Learn more about dividend at
brainly.com/question/28392301
#SPJ11
Is the coefficient of friction between the sole of a shoe and a given surface the same as the coefficient of friction between the top of the same shoe (vamp of shoe) and the surface? Explain
Answers
With shoes without slip-resistant bottoms, the coefficient of friction on ice, wet, and oily surfaces can be as low as 0.1. On brushed concrete, rubber-soled shoes can produce a coefficient of friction greater than 1.0.
Does the coefficient of friction differ between different surfaces?The nature of both surfaces affects the coefficient of friction between two surfaces. For instance, a block of ice will have a different coefficient of friction on a surface made of copper than a block of wood will have on the same surface.
What is the amount of friction there is between the surface and the object?The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, it is represented by the Greek letter mu (). In terms of math, is equal to F/N, where F stands for frictional force and N for normal force.
Is the friction coefficient constant?Motionless items frequently experience greater friction than moving ones, requiring more power to set them in motion than to keep them there. The coefficient of friction between moving and stationary objects is not always the same.
Know more about friction:
brainly.com/question/24338873
#SPJ1