Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 2, Problem 1RQ
To determine
The mathematical model that permits easy interconnection of physical system.
Expert Solution & Answer
Answer to Problem 1RQ
Transfer function model permits easy interconnection of physical system.
Explanation of Solution
Introduction:
A mathematical model is defined as a model which describes the system with the help of mathematical concepts and language.
A control system is a group of physically connected components. In order to get the desired output by calibration, the control system can be regulated using the command. The integral part of the control system is input, output, and the system itself. For the input, the command is given. The system then processes that command and gives the final output. To study and analyse the control system, mathematical model is needed which can be used for easy interconnection of physical system. That system is the Transfer Function Model.
Transfer function model defines the relationship between system’s input and output using polynomials ratio. The denominator polynomial order represents the model order while the denominator polynomials poles represent model poles. Model zeros are the roots of the numerator polynomial. There are three parameters of transfer function model, poles, zeros and transport delays.
Conclusion:
Thus, transfer function model permits easy interconnection of physical system.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
schedule04:24
Students have asked these similar questions
4. Block A and B are two different pieces of wood. Determine the minimum dimension for
"a", if the shear stress of the wood is 50Mpa. The thickness of the wood is 30cm.
600N
A
1. Determine the reaction force at A.
60 kN
5
B
1 m 1 m-
-1 m
4
3 m
30 kN m
Find the Laplace Transform of the following functions
1) f() cos(ar)
Ans. F(s)=7
2ws
2) f() sin(at)
Ans. F(s)=
s² + a²
3) f(r)-rcosh(at)
Ans. F(s)=
2as
4)(t)=sin(at)
Ans. F(s)=
2
5) f(1) = 2te'
Ans. F(s)=
(S-1)
5+2
6) (1) e cos()
Ans. F(s) =
(+2)+1
7) (1) (Acostẞr)+ Bsin(Br)) Ans. F(s)-
A(s+a)+BB
(s+a)+B
8) f()-(-)()
Ans. F(s)=
9)(1)(1)
Ans. F(s):
10) f(r),()sin()
Ans. F(s):
11)
2
k
12)
0
13)
0
70
ㄷ..
a 2a 3a 4a
2 3 4
14) f(1)=1,
0<1<2
15) (1) Ksin(t) 0
Chapter 2 Solutions
Control Systems Engineering
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Define the transfer function.Ch. 2 - Prob. 5RQCh. 2 - What do we call the mechanical equations written...Ch. 2 - If we understand the form the mechanical equations...Ch. 2 - Why do transfer functions for mechanical networks...Ch. 2 - What function do gears perform?Ch. 2 - What are the component parts of the mechanical...
Ch. 2 - The motor’s transfer function relates armature...Ch. 2 - Summarize the steps taken to linearize a nonlinear...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - A system is described by the following...Ch. 2 - For each of the following transfer functions,...Ch. 2 - Write the differential equation for the system...Ch. 2 - Write the differential equation that is...Ch. 2 - Prob. 12PCh. 2 - Use MATLAB to generate the MATLAB ML transfer...Ch. 2 - Repeat Problem 13 for the MATLAB following...Ch. 2 - Use MATLAB to generate the partial fraction...Ch. 2 - Use MATLAB and the Symbolic Math Symbolic Math...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Repeat Problem 19 using nodal equations. [Section:...Ch. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Write, but do not solve, the equations of motion...Ch. 2 - For the unexcited (no external force applied)...Ch. 2 - For each of the rotational mechanical systems...Ch. 2 - For the rotational mechanical system shown in...Ch. 2 - Find the transfer function, 1sTs , for the system...Ch. 2 - For the rotational mechanical system with gears...Ch. 2 - For the rotational system shown in Figure P2.21,...Ch. 2 - Prob. 37PCh. 2 - Find the transfer function, Gs=4s/Ts , for the...Ch. 2 - For the rotational system shown in Figure P2.24,...Ch. 2 - Prob. 40PCh. 2 - Given the rotational system shown in Figure P226,...Ch. 2 - In the system shown in Figure P2.27, the inertia,...Ch. 2 - Prob. 43PCh. 2 - Given the combined translational and rotational...Ch. 2 - Prob. 45PCh. 2 - The motor whose torque-speed characteristics are...Ch. 2 - A dc motor develops 55 N-m of torque at a speed of...Ch. 2 - 48. In this chapter, we derived the transfer...Ch. 2 - Prob. 49PCh. 2 - Find the series and parallel analogs for the...Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - A system’s output, c, is related to the system’s...Ch. 2 - Prob. 53PCh. 2 - Consider the differential equation...Ch. 2 - 55. Many systems are piecewise linear. That is,...Ch. 2 - For the translational mechanical system with a...Ch. 2 - 57. Enzymes are large proteins that biological...Ch. 2 - Prob. 58PCh. 2 - Figure P2.36 shows a crane hoisting a load....Ch. 2 - 60. In 1978, Malthus developed a model for human...Ch. 2 - 61. In order to design an underwater vehicle that...Ch. 2 - 62. The Gompertz growth model is commonly used to...Ch. 2 - A muscle hanging from a beam is shown in Figure...Ch. 2 - A three-phase ac/dc converter supplies dc to a...Ch. 2 - Prob. 65P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 2. Determine the average normal stress developed in rod AB. The mass is 50kg and the diameter of the rod AB is 8mm. B 8 mmarrow_forward2.64 A 2.75-kN tensile load is applied to a test coupon made from 1.6-mm flat steel plate (E = 200 GPa, v = 0.30). Determine the resulting change in (a) the 50-mm gage length, (b) the width of portion AB of the test coupon, (c) the thickness of portion AB, (d) the cross-sectional area of portion AB. 2.75 kN A 12 mm 50 mm B 2.75 kNarrow_forwardProcedure:1- Cartesian system, 2(D)/(3)D,type of support2- Free body diagram3 - Find the support reactions4- If you find a negativenumber then flip the force5- Find the internal force3D\sum Fx=0\sum Fy=0\sum Fz=0\sum Mx=0\sum My=0\Sigma Mz=02D\Sigma Fx=0\Sigma Fy=0\Sigma Mz=05- Use method of sectionand cut the elementwhere you want to findthe internal force andkeep either side of thesectionarrow_forward
- 3. The design of a pump and pipe system has been completed, except for the valves. The system is used to transpor10t water at 120°F through 2 nom sch 40 commercial steel pipe at a required flow rate of 85 gpm. Without the valves, the pump selected has the capability to overcome an additional 18 psi of pressure drop due to the valves and still provide the required flow rate. The pipe/valve joints are threaded. Determine how many 2-inch globe valves can be installed in this pump and pipe system.arrow_forward4. Figure 1 shows a pump and pipe network being used to transport heptane at 120°F to a large, elevated, closed storage tank. The tank is pressurized and maintained at 18 psia. The volumetric flow rate of the heptane is 500 gpm. a. Specify the nominal diameter of the check valve. b. Determine the pump discharge pressure required (psia) to move the heptane through the discharge pipe. Plank = 18 psia Liquid level Large pressurized storage tank 40 ft All pipes are 6-nom sch 40 commercial steel Standard 90° elbows and 180° bend Total length of straight pipe = 115 ft Class 300 swing check valve INH Pump Figure 1: Pressurized storage tank systemarrow_forward2. In a particular section of a fluid system, a 30% ethylene glycol mixture is flowing through a 6- nom xs cast iron pipe at a temperature of 0°C. In this section of piping, the velocity must be maintained in the range 1.5 m/sarrow_forward1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine the following. P = 5 MPa T₁ = 500°C Boiler P₁₂ =5 MPa Τ =496°C 7 = 85% W = 1,000 MW P=1 atm To=25°C Turbine 3+ P = 10 kPa a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW) b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents exergy that is lost to the environment and unavailable for power delivery. Comment on the magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s) would warrant better…arrow_forwardAn aluminum rod of length L = 1m has mass density p = 2700 kg and Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact natural eigenfrequencies of the rod are wexact E = √ ρ for n=1,2,3,. . . . 1. What is the minimum number of linear elements necessary to determine the fundamental frequency w₁ of the system? Discretize the rod in that many elements of equal length, assemble the global system of equations KU = w² MU, and find the fundamental frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact Sketch the fundamental mode of vibration. 2. Use COMSOL to solve the same problem. Show the steps necessary to find the fundamental frequency and mode of the rod. What is the relative error using linear elements and a normal mesh?arrow_forwardA ball with a mass of 5.0 kg is hanging from a string and is initially at rest. A bullet with a mass of 10.0 g and a velocity of 200.0 m/s is fired at the ball. The bullet embeds itself inside the ball. How high (h) do the ball and the bullet rise? Gravitational acceleration: g=9.81g = 9.81g=9.81 m/s².arrow_forwardDon't use chatgpt. Need handwritten solution. Mechanical engineeringarrow_forwardMechanical engineering question.arrow_forwardA shaft is loaded in bending and torsion such that Ma = 70 N·m, T₁ = 45 N · m, M = 55 N. m, and T = 35 N m. For the shaft, S₁ = 700 MPa and S = 560 MPa, and a fully corrected endurance limit of S₂ = 210 MPa is assumed. Let K = 2.2 and K = 1.8. With a Se design factor of 2.0 determine the minimum acceptable diameter of the shaft using the a) DE- Goodman b) DE-Morrow c) DE-Gerber d) DE-SWTarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY