Question 1 a) Define the term transfer function in relation to a linear control system. [5 marks] Figure Q1 shows a block diagram of a feedback control system, with a plant with transfer function G(s) , a controller with transfer function C(s) , and a sensor with transfer function H(s) . b) Derive from first principles the closed loop transfer function G (s) cl from the reference signal r(t) , to the output signal y(t) . [5 marks] c) Give expressions for the forward path and open loop transfer fuctions in terms of G(s), C(s) and H(s) as appropriate. [5 marks]
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Question 1 a) Define the term transfer function in relation to a linear control system. [5...
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...
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...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks) 5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
A5. Find the Transfer function for the closed loop control system given below (5 marks) E(S) R(S) G(S) C(S) B(S) H(S)
Implement a PID controller to control the transfer function shown below. The PID controller and plant transfer function should be in a closed feedback loop. Assume the feedback loop has a Gain of 5 associated with it i.e. . The Transfer function of a PID controller is also given below. Start by: 6. Implement a PID controller to control the transfer function shown below. The PID feedback loop has a Gain of 5 associated with it i.e. (HS) = 5)....
Linear control system question 16.10 Consider the system described by the open-loop transfer function Find the range of K such that the system is stable and the velocity error is less than 30%
Consider that the forward-path transfer function matrix and the feedback-path transfer function matrix of the control system are $ + 2 Analyze the system and then find the closed loop transfer function
Control System By using the asymptotic or straight line approximation method, draw the Bode diagram for a control system with the open loop transfer function is given by: (b) 10 G(s)H(s)= (s+1)(s + 10) (12 marks) Analyze the stability of this control system (c) (4 marks) By using the asymptotic or straight line approximation method, draw the Bode diagram for a control system with the open loop transfer function is given by: (b) 10 G(s)H(s)= (s+1)(s + 10) (12 marks)...
Consider the following transfer function of a linear control system 1- Determine the state feedback gain matrix that places the closed system at s=-32, -3.234 ± j3.3. 2- Design a full order observer which produces a set of desired closed loop poles at s=-16, -16.15±j16.5 3-Assume X1 is measurable, design a reduced order observer with desired closed loop poles at -16.15±j16.5 We were unable to transcribe this image1 Y(s) U(s) (s+1)(s2+0.7s+2) Consider the following transfer function of a linear control...
Sketch the root loci for a unity control system, whose open-loop transfer function is given by I WILL AWARD POINTS IMMEDIATELY TO THE FIRST PERSON WHO ANSWERS THIS CORRECTLY AND THOROUGHLY. Sketch the root loci for a unity control system, whose open-loop transfer function is given by G(s) = K/s(s^2 + 4s + 5)