Modern Control Engineering

Once the attenuation factor ahas been determined on the basis of the required phase-lead angle, the next step is to determine th ...

Example Problems and Solutions 551 The lead compensator thus determined is whereKcis determined as Thus, the transfer function o ...

552 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method Frequency (rad/sec) Bode Diagram of Gc(s) = ...

Example Problems and Solutions 553 From MATLAB Program 7–27 and Figure 7–148 it is clearly seen that the phase margin is ap- pro ...

MATLAB Program 7–29 produces the unit-ramp response curves. [Note that the unit-ramp response is obtained as the unit-step respo ...

Example Problems and Solutions 555 A–7–25. Consider a unity-feedback system whose open-loop transfer function is Design a lag–le ...

Solution.We shall design a lag–lead compensator of the form Then the open-loop transfer function of the compensated system is Gc ...

Example Problems and Solutions 557 From Figure 7–151, the phase margin of the gain-adjusted but uncompensated system is found to ...

The open-loop transfer function of the compensated system is Using MATLAB Program 7–32 the magnitude and phase-angle curves of t ...

Example Problems and Solutions 559 Since the phase margin of the compensated system is 50°, the gain margin is 12 dB, and the st ...

Then we have a = [1 4.02 0.08] b = [1 5 4 0] c = [40 24 3.2] Using the following MATLAB program, we obtain the denominator polyn ...

Problems 561 Unit-Ramp Response: The unit-ramp response of the compensated system may be obtained by entering MATLAB Program 7–3 ...

562 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method B–7–2.Consider the system whose closed-loop ...

Problems 563 B–7–14.Consider a unity-feedback control system with the following open-loop transfer function: Draw a Nyquist plot ...

B–7–18.Consider the unity-feedback control system with the following open-loop transfer function G(s): Plot Nyquist diagrams of ...

Problems 565 B–7–26.Consider a unity-feedback control system with the open-loop transfer function Determine the value of the gai ...

566 Chapter 7 / Control Systems Analysis and Design by the Frequency-Response Method B–7–30.Draw Bode diagrams of the PI control ...

8 567 PID Controllers and Modified PID Controllers 8–1 Introduction In previous chapters, we occasionally discussed the basic PI ...

568 Chapter 8 / PID Controllers and Modified PID Controllers Kp(1++^1 Tds) Plant Tis + Figure 8–1 – PID control of a plant. freq ...

Section 8–2 / Ziegler–Nichols Rules for Tuning PID Controllers 569 Plant u(t) c(t) Figure 8–2^1 Unit-step response of a plant. T ...