Dynamic Systems: Mathematical Basics
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Source: Saylor
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A question pack on dynamic systems and controls.
This content is licensed under the Creative Commons Attribution 3.0 Unported License.
All of the following are properties of nonlinear dynamic systems EXCEPT:
Linear systems do not satisfy superposition.
Linear systems do not satisfy homogeneity.
Linear systems have one equilibrium point at origin.
Linear systems have many equilibrium points at origin.
Laplace transformations use the ______________ variable?
“t”
“s”
“d”
“g”
Poles of a system are obtained by setting the ______________ of the transfer function to zero.
Numerator
Denominator
Natural frequency
Gain
Gain of a second order dynamic system exhibits which of the following?
How much the system oscillates
How fast the system oscillates
Size of steady state response
None of the above
How many poles will a second order system have?
One
Two
Three
Four
Natural frequency of a second order dynamic system exhibits which of the following?
How much the system oscillates
How fast the system oscillates
Size of steady state response
None of the above
Plots of second order dynamic system exhibit which of the following?
Natural frequency
Overshoot
Gain
All of the above
Pole location in dynamic systems is a function of which of the following?
Natural frequency
Damping ratio
Gain
None of the above
The damping ratio of a second order dynamic system exhibits which of the following?
How much the system oscillates
How fast the system oscillates
Size of steady state response
None of the above
Which of the following applies to a transfer functions?
A transfer function is ratio of transform of input to transform of output.
A transfer function is ratio of transform of output to transform of input.
Both A and B
None of the above
Which of the following can be considered a second order dynamic system?
Overdamped
Underdamped
Undamped
All of the above
Which of the following does second order dynamic systems exhibit?
Oscillations
Overshoot
Both A and B
None of the above
Which of the following is NOT a characteristic of transfer function?
Transfer function applies to nonlinear system.
Transfer function applies to stationary systems.
During transfer function, computation all initial conditions are assumed as zero.
Transfer function describes input‑output dynamics.
Which of the following is NOT a property of linear dynamic systems?
Linear systems satisfy superposition.
Linear systems satisfy homogeneity.
Linear systems have two equilibrium points at origin.
Linear systems have one equilibrium point at origin.
A dynamic system at a minimum has ______________ sets of variables.
Two
Three
Four
Five
Root Locus of a system has ______________ number of branches compared to open loop poles.
More
Less
The same
Zero
Steady state error ______________when the loop gain ______________.
Increases, decreases
Increases, increases
Increases, remains unchanged
Remains unchanged, increases
If the response to step input is 0.9 and the error is 0.1, the system is said to have what percent steady state error?
6 percent
8 percent
10 percent
12 percent
If the system poles are at the origin, the system is said to have what percent steady state error?
1 percent
0.05 percent
10 percent
0 percent
Root Locus of a first order system has how many branches?
0
1
2
3
Root Locus of a second order system has how many branches?
0
1
2
3
The distance of poles from the origin of a dynamic system gives which of the following?
Frequency of oscillations
Reciprocal of time constant
Undamped natural frequency
None of the above
The horizontal location of poles of a dynamic system gives which of the following?
Frequency of oscillations
Reciprocal of time constant
Undamped natural frequency
None of the above
The vertical location of poles of a dynamic system gives which of the following?
Frequency of oscillations
Reciprocal of time constant
Undamped natural frequency
None of the above
To evaluate steady state error, which of the following input signal is commonly used?
Impulse
Step
Ramp
Random
Where does Root Locus begin?
At open loop zeros
At closed loop zeros
At open loop poles
At closed loop poles
Where does Root Locus end?
At open loop zeros
At closed loop zeros
At open loop poles
At closed loop poles
Which of the following best describes steady state error?
Difference between input and measured varying output
Difference between input and measured constant output
Difference between measured constant input and measured varying output
None of the above
Steady state error is also known as ______________ error.
AC
DC
On‑Off
Integral
For a stable integral control system, what is the steady state error?
0.1
0.01
0
1
Z‑transformation is based on which of the following?
Laplace
State‑space
Both A and B
None of the above
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