Problem - Overall Stability (10 points) i) A system has the block diagram representation as shown...
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...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
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
8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01 R(s) E(s) Y(s) 10 +0.1 0.01s Figure 8P-24 8-24. The block diagram of a de-motor control system is shown in Fig. 8P-24. Determine the range of K for stability using the Nyquist criterion when K, has the following values (a) K0 (b) K 0.01...
b) Following figure shows a block diagram of a control system. Obtain the characteristics equation of the system. [5 marks] Determine the limiting value of K for stability using Routh's criterion. [10 marks] R(S) 20 C(s) 4K S +1 2s+1 0.2 Fig. Q3
Problem 3: (30 Consider a block diagram which represents the satellite control system with a controller Ge(s) (a) Assuming no initial conditions, find the output response y(t) when the impulse input is applied to the system, where Gc(s) is a proportional gain K. (10) (b) Design a lead-compensator Ge(s) for which the complex pole of the closed-loop system has 0.5 of damping ratio () and 2 rad/s of undamped natural frequency (on) (The zero of a lead-compensator is given as...
Please code on MATLAB and explain D) only. Thank you The block diagram of a linear control system is shown in the Fig., where r(t) is the reference input and n(t) is the disturbance. (a) Find the steady-state value of e(t) when n(t) = 0 and r(t) tuz(t). Find the conditions on the values of a and K so that the solution is valid. N(s) R(S) E(S) S + a K(s + 3) Y(s) S (5² - 1) Controller Process...
5. Answer the following questions regarding the block diagram of the feedback control system. Gm (1) G,(s)= K., Gm (s) = Gy(s)=1, G,(s) = 100+1. Show that the feedback control system is always stable when K. > 0. (2) G(s)=K. Gr(s)= 1817, Gp(s)=1, Gr(s)=e** Use Bode Criterion to determine K range that ensure feedback control system stable (3) Also, Use 1* Padé approximant at time delay in (2) to determine the range of 1-5$ - K at which the feedback...
Question 1: Given the Block Diagram as shown in Figure 1. Draw the Signal Flow Graph and find the overall system Transfer Function using Mason's Gain formula. R G G Gg H G Figure 1. Block Diagram Representation
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...