Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 8RQ
What difference on the s-plane is noted between using a PD controller or using a lead network to improve the transient response?
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For a unity negative feedback control system having an open-loop transfer function, G(s) as given
below. Find out the value of "K" such that the system will be in the stable region.
(K/s)
(s3 + 12. 5s2 + 50. 5s + 66)
G(s) =
1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter.
Example.
1. Open Loop - Water Heater:
Input - Water Temperature (Cold)
System - Heating Element
Output - Water Temperature (Hot)
2. Closed Loop - Air-conditioning System
Input - Desired Room Temperature
Control - Motor controller/Compressor/ACU
Feedback - Temperature Sensing
Output - Room Temperature
Chapter 9 Solutions
Control Systems Engineering
Ch. 9 - Prob. 1RQCh. 9 - Name two major advantages of the design techniques...Ch. 9 - What kind of compensation improves the...Ch. 9 - 4. What kind of compensation improves transient...Ch. 9 - 5. What kind of compensation improves both...Ch. 9 - Prob. 6RQCh. 9 - Prob. 7RQCh. 9 - What difference on the s-plane is noted between...Ch. 9 - Prob. 9RQCh. 9 - Why is there more improvement in steady-state...
Ch. 9 - Prob. 11RQCh. 9 - 12. A lag compensator with the zero 25 times as...Ch. 9 - Prob. 13RQCh. 9 - Prob. 14RQCh. 9 - The unity feedback system shown in Figure P9.1...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 22PCh. 9 - For the unity feedback system in Figure P9.1, with...Ch. 9 - Prob. 26PCh. 9 - Prob. 29PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 34PCh. 9 - Identify and realize the following compensators...Ch. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Figure P9.5 shows a two-tank system. The liquid...Ch. 9 - Figure P9.6(a) shows a heat-exchanger process...Ch. 9 - Repeat Problem 39, Parts b and c, using a lead...Ch. 9 - Prob. 41PCh. 9 - 42. You are given the motor whose transfer...Ch. 9 - Prob. 43PCh. 9 - A position control is to be designed with a 10%...Ch. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Repeat Problem 47 using a lag-lead compensator...Ch. 9 - Prob. 51PCh. 9 - A metering pump is a pump capable of delivering a...
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- For the unity negative feedback systems, G(s) = resonant frequency W₁ ≤ 6 and estep (0) = 0. (s+2)(s+12)' design a Pl controller such that thearrow_forwarda)is the aircraft stable about the equilibrium represented by the transfer function? b) Using proportional feedback,what is the range of acceptable gains for the closed loop systen to be stable? c) Design a feedback control system that allows the pilot to command a pitch angle with overshoot less than or equal to 4.15% and a natural frequency of greater than or equal to 0.99 rad/s d) Design a feedback control system that allows the pilot to command a pitch angle with the same overshoot and a natural frequency of one half the system in part c.arrow_forwardTIME DOMAIN MODELING AND RESPONSE FOR CONTROL SYSTEMSarrow_forward
- A. The open-loop transfer function of a unit negative feedback control system is as K GK (S)=- (s+ 1)(s + 2)(s+3)(s+4) (1) Evaluate the value range of K when the closed-loop system is stable; (2) Calculate the steady-state error of the system when the input is the unit step signal.arrow_forwardGiven the system equipped with unitary feedback, whose direct branch transfer function is: (s + 4) (s + 2) (s+5)(s + 9) Design a PID controller with one of the Ziegler-Nichols methods. G(s)=arrow_forwardb) Closed-loop transfer function of a unity-feedback system is given by Y(s) / R(s)=1/(ts+1) .Discuss steady-state error for positional, velocity, and acceleration input?arrow_forward
- نقطة واحدة Consider the unit step response of the unity feedback control system whose open loop transfer function is shown below, what is * ?the maximum overshoot 1 G(s) s(s+1) 0.163 O 0.363 O 0.663 O 0.9 Oarrow_forwardEXPERIMENT TITLE : PID CONTROLLER IN LEVEL CONTROL SYSTEM OBJECTIVE:To demonstrate the characteristic of P,PI and PID controller response on a level controller system. Based on the topic and objective given,please make a clear introduction.arrow_forwardThe open loop transfer function for a control system is given as follows. 4K G(s) = s(s+2) For this system, it is desired to design a forward phase (LEAD) compensator. With the use of this controller, the static speed error coefficient is 20, the phase margin is at least 50 degrees and the gain margin is at least 10 dB. Design this controller.arrow_forward
- Consider the plant with transfer function G(s) connected in standard feedback configuration with the controller De(s) = K. 1) 2) = s+2 (s+1)²+1 Sketch the root locus for G(s). Explain what rules you used to plot it. (Be sure to describe the following: the number of branches, where they start and where they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points of multiple roots (if any).) What conditions need to be imposed if we want our closed-loop system to have no oscillations under a step input? Explain the conditions from the root locus. + Ro Σ Dc(s) G(s) Figure 1: Control system in Problem 1.arrow_forwardFigure Q2 shows the block diagram of a unity-feedback control system Proportional Controller Plant R(s) C(s). s(3s +1) 5+2s² +4 K 2.1- Determine the characteristic equation. 2.2- Using the Routh-Hurwitz criterion to determine the range of gain, K to ensure stability and marginally stability in the unity feedback syste m.arrow_forward3- Nise (4.4) A unity feedback control system has the following open-loop transfer function: G(s) = 45+¹ Find expressions for 4s+1 45² its time response when is subjected to unit impulse input.arrow_forward
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