1. Name three major advantages of closed loop control when compared to open loop control
1. Reduces sensitivity to disturbances
2. Changes in feedback signal can automatically adjust the system response
3. Accurate and quick response
4. Autonomous/no human adjustment needed
6. Define the term Transfer function for describing the dynamics of a system
The Laplace transform of the impulse response of an LTI system when initial conditions = 0
11. When studying vibration of mass spring systems along the vertical direction, why is the gravity not taken into account?
Because measuring from static equilibrium, so gravity is canceled out and may be ignored (Datum at static eq)
16. What is the order of a system that represents an armature controlled DC motor when armature inductance is negligible?
2nd Order
21. Imaginary part of a pole generates what part of the transient response?
The frequency of oscillations and dicks
2. Name two disadvantages of closed-loop control
1. Gain Will Be Reduced (Presence of Feedback)
2. Feedback tends to lead to oscillatory response (if used incorrectly)
3. Can be higher cost and maintenance
7. Transfer function of a system are governed by __________ and __________ of the system.
It's governed by inputs and outputs
12. If a resistor R is connected in parallel with a capacitor C, what is the total impedance of the system?
17. In the liquid level control system, what is the most important special feature that is used to derive the system transfer function?
Regulating control valve at the bottom of the tank. Taylor Expansion is used to convert the non-linear equation into a linear equation so that it can be Laplace Transformed. Essentially conducting analysis at its operating point which is linear.
22. When a pair of complex conjugate dominant poles moves away from the origin along radial lines on the LHP, what common characteristics will the resulting step responses have?
Damping coefficient (zeta) will remain constant
3. Use of Laplace Transforms is limited to ---------------- Systems
linear time invariant systems.
8. Force produced by a spring is proportional to its __________
Displacement (change in length of spring)
13. Explain the term “virtual ground” and its significance when analysing circuits that are built around an OP-Amp
It is a simplification employed when analyzing a circuit with an op-amp that allows us to the take the voltage at that node equal to 0V despite not being connected to ground.
18. In control system design, why are the poles of a system given more attention than the zeros?
The poles contribute to the exponential portion of the response. It affects the stability behaviour of the system.
23. When a pair of complex conjugate dominant poles moves along a vertical line on the LHP, what common characteristics will the resulting step responses have?
Settling time is constant because (damping coefficient x natural frequency) stays the same
4. Give one use of Inverse Laplace Transforms in system dynamics
to convert from s-domain back to time domain
9. When a spring is compressed, it produces forces at its two ends in the _____________ direction.
direction opposite to the force applied
14. Back e.m.f associated with an armature controlled DC motor opposes the ____________ voltage and is proportional to the armature ____________.
Opposes armature voltage, and proportional to the armature speed
19. What is the basic difference in the responses exhibited by a first and a second order system?
1st order system does not oscillate and thus overshoot does not exist.
2nd order system does oscillate and overshoot exists.
24. Comment on the response of a typical second order system when an additional zero is added to the system?
An additional zero in the: LHP increases the overshoot and reduces the rise time (tr); in the RHP it decreases the overshoot and increases the rise time
5. Give one use of the Final Value theorem in control system analysis
determines steady state value of a system
10. Force produced by a viscous damper is proportional to its __________
velocity
15. Write down the typical transfer function of an armature-controlled DC motor between the applied voltage and the output angle, when the armature inductance is negligible.
20. Real part of a pole generates what part of the transient response?
Rate of decay or growth (exponential) and the stability behaviour
25. Where do system poles have to be in the s-plane to ensure that a system is stable?
Left hand plane