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![६-२० ५ २०(3६-5) (E) - (३६-२०) २०( 3 ६-5] 158 - 7-8+२०६ ६-२० ६ ६ २०(38-5) 35६-25-82 (8६-२०) (35६-25-४६)- 6०६+ 16०६ ६ (35६-२5-8](http://img.homeworklib.com/questions/84c0d750-6b72-11ec-8907-eb758d3be7c2.png?x-oss-process=image/resize,w_560)
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Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
please do all step clean and neat Apply Routh-Hurwitz criterion to determine whether the given control...
please do all step clean and neat
Apply Routh-Hurwitz criterion to determine whether the given control system is stable or unstable? b) Tell how many poles of the closed loop transfer function lie in the right half-plane. left half-plane, and on the jo-axis? Justify your answer. a Cis) R(s) +4s-3 .4p832+ 20 15
Will leave positive reviews 3. (25 marks) A system has a characteristic polynomial 45 +20s49 101s2...
Will leave positive reviews
3. (25 marks) A system has a characteristic polynomial 45 +20s49 101s2 +2s +24 Using the Routh-Hurwitz criterion, determine the number of poles in the left half plane, the number on the jw-axis and the number in the right half plane.
Q4) (20 pts) c(s 5) 2(s) In the control system shown in the figure, i) Express...
Q4) (20 pts) c(s 5) 2(s) In the control system shown in the figure, i) Express U(s) in terms of E (s). ii) Find the overall transfer function C2 and determine the characteristic equation. R(s) ii) Using Routh-Hurwitz method determine the range of values of K for stability
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) -...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
control systems 1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is...
control systems
1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is stable or not. a) S4+253+3S2+45+5=0 2) Using the Routh Hurwitz stability criterion, determine the range of K for stability of the following characteristic equation. a) s4+2s8+(4+K)s2+9s+25=0 3)Sketch the root-locus of the following systems a) G(s)H(s) = s(s+1)(s+2) b) G(s)H(s) = 52(8+3.6) K(5+1)
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...
NASC NESSARY & sufficient criterior Use the Routh - Hurwitz technique for the Derive the N.A.S.C....
NASC
NESSARY & sufficient criterior
Use the Routh - Hurwitz technique for the Derive the N.A.S.C. for a 5th order system with arbitrary coefficients {an.... a3 (n=5). Clearly state the conditions on the a.). - Assess the stability and state the N.A.S.C. for each system in #p6ol, page 405 (also shown on Canvas in Files Homewor. of the text. Note: This problem has parte "a)" through "g). [Routh- Hurwitz is optional for 3.] - For a system given as: y...
Question 3 a) Develop the transfer function X2%)/F(s) of the mechanical system shown in Figure 3(a)....
Question 3 a) Develop the transfer function X2%)/F(s) of the mechanical system shown in Figure 3(a). Give and explain one example the real application where you can relate with this system (5 marks) b) Routh's stability criterion is of limited usefulness in linear control systems analysis mainly because it does not suggest how to stabilize an unstable system. Thus, we should evaluate the stability range of a parameter value. Consider the servo system with tachometer feedback as shown in Figure...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, ho...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, how do closed-loop systems differ from open-loop systems? c) Name the three major design criteria for control systems. d) Name the performance specification for first-order systems. e) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response. What does the Routh-Hurwitz criterion tell us? f) 2. Given the electric network shown in Figure. a) Write the differential equation for...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
please do all step clean and neat
Apply Routh-Hurwitz criterion to determine whether the given control system is stable or unstable? b) Tell how many poles of the closed loop transfer function lie in the right half-plane. left half-plane, and on the jo-axis? Justify your answer. a Cis) R(s) +4s-3 .4p832+ 20 15
Will leave positive reviews
3. (25 marks) A system has a characteristic polynomial 45 +20s49 101s2 +2s +24 Using the Routh-Hurwitz criterion, determine the number of poles in the left half plane, the number on the jw-axis and the number in the right half plane.
Q4) (20 pts) c(s 5) 2(s) In the control system shown in the figure, i) Express U(s) in terms of E (s). ii) Find the overall transfer function C2 and determine the characteristic equation. R(s) ii) Using Routh-Hurwitz method determine the range of values of K for stability
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
control systems
1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is stable or not. a) S4+253+3S2+45+5=0 2) Using the Routh Hurwitz stability criterion, determine the range of K for stability of the following characteristic equation. a) s4+2s8+(4+K)s2+9s+25=0 3)Sketch the root-locus of the following systems a) G(s)H(s) = s(s+1)(s+2) b) G(s)H(s) = 52(8+3.6) K(5+1)
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...
NASC
NESSARY & sufficient criterior
Use the Routh - Hurwitz technique for the Derive the N.A.S.C. for a 5th order system with arbitrary coefficients {an.... a3 (n=5). Clearly state the conditions on the a.). - Assess the stability and state the N.A.S.C. for each system in #p6ol, page 405 (also shown on Canvas in Files Homewor. of the text. Note: This problem has parte "a)" through "g). [Routh- Hurwitz is optional for 3.] - For a system given as: y...
Question 3 a) Develop the transfer function X2%)/F(s) of the mechanical system shown in Figure 3(a). Give and explain one example the real application where you can relate with this system (5 marks) b) Routh's stability criterion is of limited usefulness in linear control systems analysis mainly because it does not suggest how to stabilize an unstable system. Thus, we should evaluate the stability range of a parameter value. Consider the servo system with tachometer feedback as shown in Figure...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, how do closed-loop systems differ from open-loop systems? c) Name the three major design criteria for control systems. d) Name the performance specification for first-order systems. e) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response. What does the Routh-Hurwitz criterion tell us? f) 2. Given the electric network shown in Figure. a) Write the differential equation for...
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