Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 48P
Repeat Problem 47 using a lag-lead compensator instead of a PID controller. Design for a steady-state error of 1% for a step input command.
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3. Sketch a house's heating system which containing a gas furnace that heats water which
circulates to radiators on the walls, and a thermometer that is connected to a control module that
can turn the furnace on or off. The outside temperate is Text, the inside temperature is T, and the
desired temperature is Ta. Describe the elements of the feedback control loop.
Q:
Discuss the control system (the level controller and the temperature controllers) shown in
figure (2). Specify the controlled and manipulated variable in each case. Discuss the type of the
controller used in each case, that is, a simple feedback controller, a feedforward controller, a
cascade controller, etc. Draw the block diagram of the temperature control loops.
Feed
Reactor
temperature
set point
(master)
TC
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surge
tank
i Jacket
itemperature
i set point
(slave)
TC
LC-LT
Reactor
Cooling
water
out
Product
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water
makeup
Circulation
pump
Figure (2)
block diagram pls solve fast
As Simplify the multiple loop feedback control system?
R(s)
G₁
G₂
H3
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H₁
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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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- Figure 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_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_forward(Figure 1 One Wheel Model), Part1-(Derive equation of motion for a given system and obtain transfer function and state space representation.) , part2-(Draw closed-loop diagram for full-state- feedback controller.) , part3- (Select proper coefficient (u=-Kx) satisfying that .) part4- (Simulate the closed-loop system and show the response of it.) Note: Tahe Reference signal as With f = 0.1 Hz. !!!!!!!!! Please solve these steps, at least the first step which is writing the equations of motion of the system and the second step which is drawing closed loop diagram for Full state feedback controller.!!!!arrow_forward
- The open loop transfer function of a humanoid's arm control system is given as: K G(s) = 2 s(s + 2s + 2) (a) Clearly locate all poles and zeros on a linear graph paper. Provide calculations for the following: asymptote angles, centroid for asymptotes, and departure angle from complex pole. (b) Plot the complete root locus, with the locus on the real axis is clearly shown. Use the scale of 4 cm : 1 unit for both axes and choose the longer side of the graph paper as the real axis.arrow_forwardFor 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) =arrow_forwardConsider 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_forward
- Q5) For unity feedback control system with forward transfer function (G(s) ): G(s) = ; By using root locus graph calculate the value K(s+5) (s+2)(s²+12s+50) of gain (K) which must be added to get the dominant root at damping ratio (-0.886) and natural frequency (w = 8 rad/sec )? www CTRICAL ENGINarrow_forwardDevelop MATLAB code to model Qacm with a fixed outlet temp of T= 870K. Optimizing componentsarrow_forwardQ-1 A characteristic equation of a feedback control system is (s3 + 3s2 + 6s + 25 = 0 ), %3D 1. Cheack the stability of the system by Routh method. 2. Number of the root that is in right side , if its exist.arrow_forward
- Give a physical example for feedback control systems. Sketch the block diagram with input and output variables: Missile launch systemarrow_forwardDesign a digital lag compensator for the position control system below to meet thefollowing specifications:ess = 0.0062 in response to a unit ramp reference input, andMp ≤ 0.095 for a unit step reference input.arrow_forwardThe governor is a mechanically-controlled feedback device which maintains the speed of an engine within permissible range whenever there is a variation of load. There is various type of governor in the industry as shown in Q6(a). With the aid of a diagram of forces acting on the governor at the equilibrium, explain the limitations of a Watt governor and how these are rectified in the Porter governor. Figure Q6(a): Various types of governor.arrow_forward
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