Modern Control Engineering

aa 230 Chapter 5 / Transient and Steady-State Response Analyses Note that both type 0 and type 1 systems are incapable of follow ...

aa Example Problems and Solutions 231 Example Problems and Solutions A–5–1. In the system of Figure 5–49,x(t)is the input displa ...

aa 232 Chapter 5 / Transient and Steady-State Response Analyses Note that if the value of kbis large, the response u(t)approach ...

aa Example Problems and Solutions 233 Solution.For this gear-train system, we can obtain the following equations: For shaft 1, ( ...

aa 234 Chapter 5 / Transient and Steady-State Response Analyses The relationship between J1eqandJ3eqis thus and that between b1e ...

aa Example Problems and Solutions 235 It follows that From the block diagram we have from which Therefore, the values of TandKar ...

aa 236 Chapter 5 / Transient and Steady-State Response Analyses or The peak time tpis specified as 2 sec. And so or Then the und ...

aa Example Problems and Solutions 237 Hence Note that Mp=9.5%corresponds to z=0.6. The peak time tpis given by The experimental ...

aa 238 Chapter 5 / Transient and Steady-State Response Analyses or Hence A–5–7. In the system shown in Figure 5–55, the numerica ...

aa Example Problems and Solutions 239 Solution.MATLAB Program 5–18 yields the unit-step response curve shown in Figure 5–56. It ...

aa 240 Chapter 5 / Transient and Steady-State Response Analyses Hence, the time response c(t)can be given by The fact that the r ...

aa Example Problems and Solutions 241 Output t (sec) Unit-Step Response (a) 0.5 1 1.5 2 2.5 0 012345678910 Unit-Ramp Input and O ...

aa A–5–10. Consider a higher-order system defined by Using MATLAB, plot the unit-step response curve of this system. Using MATLA ...

aa Example Problems and Solutions 243 A–5–11. Consider the closed-loop system defined by Using a “for loop,” write a MATLAB prog ...

aa 244 Chapter 5 / Transient and Steady-State Response Analyses Using vectors aandb, MATLAB Program 5–21 will produce the unit-s ...

aa Example Problems and Solutions 245 A–5–12. Using MATLAB, obtain the unit-ramp response of the closed-loop control system whos ...

aa 246 Chapter 5 / Transient and Steady-State Response Analyses Unit-Ramp Response by Use of Command “lsim” t Sec Output 9 5 1 8 ...

aa Example Problems and Solutions 247 MATLAB Program 5–23 num = [5]; den = [1 1 5]; t = 0:0.05:10; r = 2+t; c = lsim(num,den,r,t ...

aa 248 Chapter 5 / Transient and Steady-State Response Analyses Solution.The closed-loop transfer function is MATLAB Program 5–2 ...

aa Example Problems and Solutions 249 MATLAB Program 5–25 t = 0:0.2:12; for n = 1:6; num = [1]; den = [1 2(n-1)0.2 1]; [y(1:61,n ...