Question

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 response of a second-order system. e) State the method to be used to determine the range value of K for stability f) (20 marks)

Answer 1

(ANS) GCS) 5CSt4) RCS) Ca) K CC5) K b) CCS) SC5H) RCS) K SCstH) СС) RIS)

K 6 CC5) RCS) 2& Con &Con 2 ton 27. toleane band setling hne ECon 2sec

d) GCS) H(5) k SC5t4) fon sep nput t GCS) HCS) kp kp 505t4) 50 Stcady state erTO tkp Slep ponse was dnauon by matlah (e)

MATLAB code :

clc;
clear all;
sys=tf([6],[1 4 6]);
step(sys)

Step Response 1.2 0.8 0.6 0.4 0.2 0 0 1 3.5 4 0.5 1.5 2 2.5 Time (seconds) Amplitude

cC5) RC5) S45+k 32 1 K. k. to siabilty ko Routh Hurcaita cdenia using (1

plzzz rate it.............