To implement an ideal derivative (PD) controller using an active-circuit realization from Table 9.10, what are the impedances Z1(s) and Z2(s)?
Other questions
What is the primary motivation for using compensation in control systems, as opposed to simple gain adjustment?
What is the function of an ideal integral compensator (PI controller) in improving steady-state error?
In the design of an ideal integral compensator, why is a zero placed very close to the pole at the origin?
What is a primary difference between a passive lag compensator and an active PI controller?
For a lag compensator, the improvement in the static error constant is approximately equal to what ratio?
What is the primary function of an ideal derivative (PD) compensator?
In Example 9.3, a system is compensated to achieve a threefold reduction in settling time while maintaining 16 percent overshoot. What is the real part of the compensated system's dominant second-order pole?
What is the key difference between an ideal derivative (PD) compensator and a lead compensator?
In the design of a lead compensator, what is the geometric interpretation of the compensator's contribution?
In Example 9.4, three lead compensators are designed to reduce settling time by a factor of 2 while maintaining 30 percent overshoot. For 'Compensation a', a compensator zero is placed at -5. What is the location of the required compensator pole?
What is the correct design sequence for a PID controller to improve both transient and steady-state responses?
What is the transfer function of a PID controller as presented in Figure 9.30 and Equation (9.21)?
In the PID controller design of Example 9.5, the PD compensator is designed to reduce the peak time to two-thirds of the uncompensated value. What is the location of the PD compensator zero?
What is a lag-lead compensator?
In the lag-lead compensator design in Example 9.6, the uncompensated system has a velocity constant (Kv) of 3.202. What is the Kv of the system after only the lead compensator is added?
What is a notch filter used for in control system design?
How does a notch filter achieve its objective?
What is a primary distinction between cascade compensation and feedback compensation?
In Approach 1 for feedback compensation, adding a feedback path with transfer function Kf Hc(s) is equivalent to replacing the poles and zeros of G2(s) with the poles and zeros of what function?
In the rate feedback compensation design of Example 9.7, the system is designed to reduce the settling time by a factor of 4. What is the location of the compensator zero that achieves this?
In the minor-loop feedback compensation design of Example 9.8, what is the transfer function, GML(s), of the minor loop?
To implement a PI controller using the active-circuit realization shown in Table 9.10, what components are typically used for impedances Z1(s) and Z2(s)?
In Example 9.9, a PID controller with the transfer function Gc(s) = (s + 55.92)(s + 0.5)/s is implemented. If the capacitor C2 is chosen to be 0.1 microF, what is the required value for resistor R1?
Which compensator is realized using a passive network where Z1(s) consists of a resistor R1 in parallel with a capacitor C1, and Z2(s) consists of a resistor R2 in parallel with a capacitor C2?
In the antenna control lag-lead compensation case study, a lead compensator zero was assumed at -2. What was the calculated location of the compensator pole?
After designing the lead compensator in the antenna control case study, the velocity constant Kv was found to be 6.44. To achieve the target Kv of 20, what was the required improvement factor for the lag compensator?
What is the primary trade-off when designing a control system using only gain adjustment, as discussed in the context of Chapter 9?
A unity feedback system has a forward transfer function G(s) = K / (s(s+7)). It is operating with 15 percent overshoot. A lag compensator is designed to improve the steady-state error by a factor of 20. According to Skill-Assessment Exercise 9.1, what is a suitable transfer function for this lag compensator?
In Example 9.2, a lag compensator Gc(s) = (s+0.111)/(s+0.01) is designed to improve the steady-state error of a system by a factor of 10. What is the predicted Kp of the compensated system?
A unity feedback system with forward transfer function G(s) = K / (s(s+7)) is operating with 15 percent overshoot. According to Skill-Assessment Exercise 9.2, what is its settling time?
To decrease the settling time of the system in Skill-Assessment Exercise 9.2 by three times, a lead compensator with a zero at -10 is designed. What is the location of the compensator pole?
What is the general effect of adding ideal derivative compensation (a PD controller) on the settling time and peak time of a system?
For the unity feedback system in Skill-Assessment Exercise 9.3 with G(s) = K / (s(s+7)) operating at 20 percent overshoot, what is the steady-state error for a unit ramp input?
A lag-lead compensator is designed for the system in Skill-Assessment Exercise 9.3. The lead zero is placed at -3. What is the complete transfer function of the designed compensator?
What is a significant advantage of feedback compensation over cascade compensation mentioned in Section 9.5?
What component is commonly used to implement rate feedback in a position control system?
In the minor-loop design of Example 9.8, the minor loop's dominant poles were designed to have a damping ratio of 0.8. What was the required gain Kf of the feedback compensator to achieve this?
What is the primary disadvantage of using ideal derivative compensation mentioned in the chapter?
In the passive realization of a lead compensator from Table 9.11, the transfer function is given. How is the compensator zero, zc = 1/R1C, related to the compensator pole, pc?
To realize the lead compensator Gc(s) = (s+4)/(s+20.09) from Example 9.10 using a passive network, and choosing C = 1 microF, what is the required value for R1?
What type of compensator is Gc(s) = (s+0.1)(s+5)/s, and does it require active or passive realization according to Skill-Assessment Exercise 9.5?
In the UFSS Vehicle case study in Section 9.7, a lead compensator is designed to yield 20 percent overshoot and a 4-second settling time. A compensator zero is placed at -1. What is the location of the compensator pole?
What potential problem with a second-order approximation is highlighted in the compensated system of Example 9.3?
Why must the pole and zero of a lag compensator be placed close to the origin?
In the PID controller design of Example 9.5, what is the Kv (velocity error constant) for the PD-compensated system, before the PI controller is added?
In the feedback compensation example of Figure 9.49, the equivalent open-loop transfer function includes a zero at s = -1/Kf. Is this zero also a zero of the closed-loop system?
According to Table 9.7, which compensator is described by the characteristics: 'Increases system type', 'Error becomes zero', and 'Active circuits are required to implement'?
According to Table 9.7, what is the function of a lag-lead compensator?
In the lag-lead design of Example 9.6, a twofold reduction in settling time and a tenfold improvement in ramp input error are required. The lead compensator pole is calculated to be at what location?