Question

Please exain it thoroughly, will give you good rating if you help me with those Q’s. They are all part of one Q

Q3. A particular system can be represented by the following state space equation [2]-[2 ].[2]. where system is simulated using Euler Integration the plot shown in Figure Q3 is obtained when a step of magnitude equal to 3.5 is applied to the input. The simulation step size used to obtain these responses is 0.5 seconds. xi and x: are the system states, and u is the input to the system. When this -10 0.5 1.5 2.5 time(s 3.5 4.5 10 05152 25 3 35 445 Figure Q3 (a) From Figure Q3, what are the values of the time constants for this system? A. D. 1.0s and 2.0s 0.5s and 0.25s B. E. 0.15s and 0.75s O. 1 s and 02s C. 3.5s and 7.0s 12) (b) What are the values for the constants ai and a2 in the system equation? A. a -2 and a2-4 . a 0.3 and a2-1.5 C. a -7 and a2- -14 D. a1 --100 and a2- -50E. a-14 and a- -35 12) stable simulated Which of the following step size values would ensure accurate and responses for both system states? (c) A. 0.05 B. 0.5C0D. 0.025 E. 0.75 12] (d) What are the values for bi and bz in the above state space equation. A. b - -20 and b-8 B. b 3.5 and b2- 7.0 C. b--0.5 and b -1.0 D. bi 35 and b- 14 E. bi -0.5 and b2-0.25 12) Continued overleaf

Answer 1

given U- 3.9 using Euler integret X, (n+リー Xin o.le.xn → 3.5 bi → Hence -35 0.5メ3.5,br : 0.5 3-5 -35 =-35 t 0.5 Lax-35 t 35+20] ai -2