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Question 7 A system is marginally stable when its output oscillates around a certain value. O...
5. Consider the system given in (a) is marginally stable. X + 4. 10/( s (0.1...
5. Consider the system given in (a) is marginally stable. X + 4. 10/( s (0.1 s +1) 1/s G(s) (a) Find G(s) (b) Determine Y(s)/X(s) in terms of G(s). (c) If the error E(s)-X(s)-Y (s) determine E(s)/Y(s). (d) Determine the steady-state value of e(t) given that s(t): u(t) 6. Consider the system given in (a) is marginally stable. X+ G(s) (a) Determine the transfer function (s)/X(s). (b) If the error e()-x(0)-y() determine a G(s) such that e(oo) -1/2 when...
a=8 b=7 5. Consider a LTI system is stable, and the Z transform of its impulse...
a=8
b=7
5. Consider a LTI system is stable, and the Z transform of its impulse response is (2) = suppose the input signal x[n] is a unit step sequence. 1) Sketch the magnitude response (rough) for the system 2) find the output Y(z).
(1) When a polynomial for the numerator of a transfer function is represented by the vector...
(1) When a polynomial for the numerator of a transfer function is represented by the vector [1 3 0j in Matlab, what is the polynomial (in )? Ss35 (2) What is the final value of a response which is given b1612 (o)- (0)-3(0)3 ()undefined (3) Determine the damping ratio of the system described by)235 )1(b) 2.5 (c)5 (d) 10 (e) 25 (f) something else (4) (True or alse) The system with the following characteristic equation is stable. (5) Marginally stable...
discrete-time linear system with transfer function (2) (z+2) (2-0.5)(z+0.8)(z+0.9) causal and stable. This system is possibly...
discrete-time linear system with transfer function (2) (z+2) (2-0.5)(z+0.8)(z+0.9) causal and stable. This system is possibly bota O True O False Question 8 Consider the discrete-time filter with transfer function (2) z+1 2-0.95 This filter is a high-pass filter. O True O False
7. Introduction to real options Consider the following statement about real options: Certain real options allow...
7. Introduction to real options Consider the following statement about real options: Certain real options allow companies to change capacity output in response to changing market conditions. True or False: The preceding statement is correct. O False O True Which type of real option allows a firm to postpone a project until it can gather more information? Timing option O Flexibility option Abandonment option O Expansion option Consider the following example: Smoltz Motors has plants around the country that specialize...
Question 7 2 pts Eigenvalues are related to the mode shape. O True O False Question...
Question 7 2 pts Eigenvalues are related to the mode shape. O True O False Question 8 2 pts Eigenvalues determine the type of response of a system (i.e. underdamped, critically damped, or overdamped). True False
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system....
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
1. (10 points) o Consider the unity feedback system with open loop transfer function Ко L(s)...
1. (10 points) o Consider the unity feedback system with open loop transfer function Ко L(s) = s(s+ 7) (s+ 3) Let Tf = 0.15 and Tm = 0.3. What value(s) of Ko produce a marginally stable system? Should K, be pushed larger or samller than those value(s) to stabilize the closed-loop system?
5. Consider the system given in (a) is marginally stable. X + 4. 10/( s (0.1 s +1) 1/s G(s) (a) Find G(s) (b) Determine Y(s)/X(s) in terms of G(s). (c) If the error E(s)-X(s)-Y (s) determine E(s)/Y(s). (d) Determine the steady-state value of e(t) given that s(t): u(t) 6. Consider the system given in (a) is marginally stable. X+ G(s) (a) Determine the transfer function (s)/X(s). (b) If the error e()-x(0)-y() determine a G(s) such that e(oo) -1/2 when...
a=8
b=7
5. Consider a LTI system is stable, and the Z transform of its impulse response is (2) = suppose the input signal x[n] is a unit step sequence. 1) Sketch the magnitude response (rough) for the system 2) find the output Y(z).
(1) When a polynomial for the numerator of a transfer function is represented by the vector [1 3 0j in Matlab, what is the polynomial (in )? Ss35 (2) What is the final value of a response which is given b1612 (o)- (0)-3(0)3 ()undefined (3) Determine the damping ratio of the system described by)235 )1(b) 2.5 (c)5 (d) 10 (e) 25 (f) something else (4) (True or alse) The system with the following characteristic equation is stable. (5) Marginally stable...
discrete-time linear system with transfer function (2) (z+2) (2-0.5)(z+0.8)(z+0.9) causal and stable. This system is possibly bota O True O False Question 8 Consider the discrete-time filter with transfer function (2) z+1 2-0.95 This filter is a high-pass filter. O True O False
7. Introduction to real options Consider the following statement about real options: Certain real options allow companies to change capacity output in response to changing market conditions. True or False: The preceding statement is correct. O False O True Which type of real option allows a firm to postpone a project until it can gather more information? Timing option O Flexibility option Abandonment option O Expansion option Consider the following example: Smoltz Motors has plants around the country that specialize...
Question 7 2 pts Eigenvalues are related to the mode shape. O True O False Question 8 2 pts Eigenvalues determine the type of response of a system (i.e. underdamped, critically damped, or overdamped). True False
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system....
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
1. (10 points) o Consider the unity feedback system with open loop transfer function Ко L(s) = s(s+ 7) (s+ 3) Let Tf = 0.15 and Tm = 0.3. What value(s) of Ko produce a marginally stable system? Should K, be pushed larger or samller than those value(s) to stabilize the closed-loop system?
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