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QUESTION 1: (35 points)
The transfer function of the components of a control system is given as follows:
?????: ?(?) =
2
5?
2 + 1.6? + 4
??????????: ??
(?) = ??(1 +
0.5
?
)
a) Obtain the values of ?? that makes the system stable. (10 pts.)
b) If gain margin is 1.185, find the value of ??. (5 pts.)
c) For the value of ?? found in part (b), find the phase margin. (10 pts.)
d)...
QUESTION 2: (30 points)
a) Sketch the root locus for the system having open-loop transfer function: (15 pts.)
?0
(?) =
?(? + 3)
?(? + 1)(? + 2)(? + 4)
b) Determine the value of K such that the damping ratio ?of a pair of dominant complex-conjugate closed
loop pole is 0.5. (15 pts.)
QUESTION 3: (35 points)
For the system having the transfer function:
?(?) =
10
(? + 2)(? + 3)
a) Find the transition matrix ?(?)by Hand. (10pts)
b) Find the transition matrix ?(?)by using Matlab (5pts)
c) By using state space approach, find the unit step response of the system with initial values [1,0] by
Hand, draw the response in Matlab. (10pts)
d) Design a control law for the for the given system to make pole placements of your choice...
Evaluate the transfer function, G(s) = V0(s) / V(s) for the electric network shown in Figure (a).
Question 1 - Analogue Closed Loop Control Systems Many control systems involve processing analogue signals such as heat, light and movement Therefore analogue closed loop control system require walogue processing devices such as the operational amplifier (op-amp). One of the most common control applications involves using the op-amp as a comparator. In it's simplest form a comparator just compares two voltage signals, VI and V2. Ir VI is higher than V2 the output, Ve, is 'low', VI is lower than...
14. often need ADC and DAC Digital control systems Analog control systems Both digital and analog systems None of the above 15. Analog control systems are more robust as compared to digital control systems True False 16. Analog control systems have better security True False 17. Analog controller has faster response time compared to digital controller True False manner 18. Digital control systems can be implemented in Centralized Distributed Both centralized and distributed 19. Cruise control in modern cars is...
Using Laplace Theorem for Control Systems.
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