Linear Control System A control system has two forward paths, as shown in Figure. (a) Determine...
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...
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...
For the block diagram of a feedback control system that is shown in Figure Q1 below, find the transfer function Ts) Y(s) /R(s) for the system. 2 R(s) Y(s) :? 2 2 Figure Q1
1. (30 points) The block diagram of a machine-tool control system is shown in Figure 1. (a) (10 points) Determine the transfer function H(s) = Y(s)/R(s) (b) (10 points) Determine the sensitivity S (c) (10 points) For 1
A closed-loop control system is shown in Figure 3 7000 +52 + 700s +1200) 1 Figure 3 A. Determine the transfer function T(s) = Y(s)/R(s). B. Use a unit step input, R(s) = 1/s, and obtain the partial expansion for y(s). C. Predict the final value of y(t) for the unit step input.
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
Provide the equations of all forward paths Pk, loops Lų, path cofactors Ak, and the determinant A. Provide the transfer function of the system. Understand that the unity feed-forward paths are not connected to one another where they cross visually. The transfer function should take the form... P241 + P242 + ... TF = F 1 -(L+ L2 ...) + .. X(S) -HAGA G Hz 1 YS
rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Compute the closed-loop transfer function Gal (s) -Y(s)/R(s) for the system shown in Figure 3
rt)+ e(t) y(t) K1 S +4 Figure 3: A closed-loop control system with an inner feedback loop. Compute the closed-loop transfer function Gal (s) -Y(s)/R(s) for the system shown in Figure 3
Solve 2.8 Please
brake force on each wheel [15].A block diagram model of a brake control system is shown in Figure E2.9, where F(s) and FR(S) are the braking force of the front and rear wheels, respectively, and R(s) is the desired automobile response on an icy road. Find F(s)/R(s) E28 A control engineer, N. Minorsky, designed an inno- vative ship steering system in the 1930s for the US 2 Navy. The system is represented by the block diagram shown...
QUESTION 2 Given that a control system has a forward path of G(s) and negative unity feedback and unit- step input is applied to the system. If G(s) is given as: K G(s)= s(s4) Draw the block diagram of the system. a) Derive the closed-loop transfer function of the system. b) If the gain K 6, determine the settling time of the resulting second-order system at 2% c) tolerance band Its corresponding steady state error. d) Sketch the controlled output...