Question

P 1.3 A device has the output, y, and input, x, which are related by y = 2x + x Obtain a linearized model (a) When the operating point is x=1. (b) When the operating point is x = 2.

Answer 1

Given datas @ al. © m2 0 g 2, from the given equotion y = 273 to be put n=1 in abouc expression y (1) - 2x19+1 - 2 So, no li Yo= a. The linearized model is. y = at 2n3 den (n)mo : 1X ( M-ro) +20 cm) anno dre mol Y (n-no) y yo = 1X (0-1) +2 ( 3X12709-1)

y yo = (n-1) + 6 (n-1) y - 3 = 7697) y = 70-743 77-4 9- Ον y = 7(n-1) +9 © for n=2 put no= 2 in the given eruation y=ntana ganol = 2 + 2x23 = 18 No=2, yo = 18 The lineansed model is. as y=a+203 g - Yo= d. = 17(9- No) +2 an no d. (m3) an' no=2 x (ge-ra)

y yo = (n-no7+ 2y (on2100=2(x-ro) y yo = (1-2) + 6* 22 (0-2) Y-Yo = (4-2) +04(2-2) y = 25 (2-2) tyo y = 25 n-2} t 18 on