Time Response n Transient response n Steadystate response

Time Response n. Transient response -暫態響應 n. Steady-state response -穩態響應 ( ) 2/11/2022 C. S Hu NCUME DCS Lab 1

Transient-Response 暫態響應 First-Order System n. Unit-step n. Unit-impulse Second-Order System n. Unit-step n. Unit-impulse 2/11/2022 C. S Hu NCUME DCS Lab 2

First-Order System • Unit-step input: 2/11/2022 C. S Hu NCUME DCS Lab 3

First-Order System • Unit-impulse input: 2/11/2022 C. S Hu NCUME DCS Lab 4

Second-Order System • Unit-step input: 2/11/2022 C. S Hu NCUME DCS Lab 5

Second-Order System • Unit-impulse input: 2/11/2022 C. S Hu NCUME DCS Lab 6

Transient-response Characteristics td : Delay time tr : Rise time tp : Peak time Mp : Maximum overshoot ts : Settling time 2/11/2022 C. S Hu NCUME DCS Lab 7

Matlab指令 n step(num, den, t) step(A, B, C, D, iu, t) [y, x, t]=step(num, den, t) [y, x, t]=step(A, B, C, D, iu, t) n impulse(num, den, t) impulse(A, B, C, D, iu, t) [y, x, t]=impulse(num, den, t) [y, x, t]=impulse(A, B, C, D, iu, t) 2/11/2022 C. S Hu NCUME DCS Lab 8

Ex 1: num=[0 0 25]; den=[1 4 25]; step(num, den) step(num, den, 3) [y, x, t]=step(num, den); plot(t, y) 2/11/2022 C. S Hu NCUME DCS Lab 9

Ex 1 結果 2/11/2022 C. S Hu NCUME DCS Lab 10

Ex 2: A=[-1 – 1; 6. 5 0]; B=[1 1 ; 1 0]; C=[1 0; 0 1]; D=[0 0; 0 0]; step(A, B, C, D) step(A, B, C, D, 1) 2/11/2022 C. S Hu NCUME DCS Lab 11

Ex 2 結果 2/11/2022 C. S Hu NCUME DCS Lab 12

Simulink常用元件 Source: Sinks: 輸出至矩陣 模擬示波器 輸出至檔案 輸出圖形 2/11/2022 C. S Hu NCUME DCS Lab 14

Simulink常用元件 Connections: Two channel 同步顯示 Linear: 2/11/2022 C. S Hu NCUME DCS Lab 15

Ex 3: 令 ，以simulink畫出transient response 2/11/2022 C. S Hu NCUME DCS Lab 16

Ex 3 結果 2/11/2022 C. S Hu NCUME DCS Lab 17

Homework 2/11/2022 C. S Hu NCUME DCS Lab 18