Solutions for CONTROL SYSTEMS ENGINEERING
Problem 4RQ:
Define the transfer function.Problem 6RQ:
What do we call the mechanical equations written in order to evaluate the transfer function?Problem 7RQ:
If we understand the form the mechanical equations take, what step do we avoid in evaluating the...Problem 8RQ:
Why do transfer functions for mechanical networks look identical to transfer functions for...Problem 9RQ:
What function do gears perform?Problem 10RQ:
What are the component parts of the mechanical constants of a motors transfer function?Problem 11RQ:
The motor’s transfer function relates armature displacement to armature voltage. How can the...Problem 9P:
For each of the following transfer functions, write the corresponding differential equation....Problem 11P:
Write the differential equation that is mathematically equivalent to the block diagram shown in...Problem 14P:
Repeat Problem 13 for the MATLAB following transfer function: MATLAB ML [Section: 2.3]...Problem 15P:
Use MATLAB to generate the partial fraction expansion of the following function: [Section: 2.3]...Problem 16P:
Use MATLAB and the Symbolic Math Symbolic Math Toolbox to input and form LTI objects in polynomial...Problem 20P:
Repeat Problem 19 using nodal equations. [Section: 2.4] 19. Find the transfer function, G(s) =...Problem 30P:
Write, but do not solve, the equations of motion for the translational mechanical system shown in...Problem 31P:
For the unexcited (no external force applied) system of Figure P2.16, do the following: a. Write the...Problem 32P:
For each of the rotational mechanical systems shown in Figure P2.17, write, but do not solve, the...Problem 33P:
For the rotational mechanical system shown in Figure P2.18, find the transfer function Gs=2s/Ts...Problem 35P:
For the rotational mechanical system with gears shown in Figure P2.20, find the transfer function....Problem 36P:
For the rotational system shown in Figure P2.21, find the transfer function, Gs=2s/Ts . [Section:...Problem 38P:
Find the transfer function, Gs=4s/Ts , for the rotational system shown in Figure P2.23. [Section:...Problem 39P:
For the rotational system shown in Figure P2.24, find the transfer function, Gs=Ls/Ts [Section: 2.7]Problem 41P:
Given the rotational system shown in Figure P226, find the transfer function, Gs=6s/1s . [Section:...Problem 42P:
In the system shown in Figure P2.27, the inertia, J, of radius, r, is constrained to move only about...Problem 44P:
Given the combined translational and rotational system shown in Figure P2.29, find the transfer...Problem 46P:
The motor whose torque-speed characteristics are shown in Figure P2.31 drives the load shown in the...Problem 47P:
A dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 volts are applied. It stalls...Problem 48P:
48. In this chapter, we derived the transfer function of a dc motor relating the angular...Problem 50P:
Find the series and parallel analogs for the translational mechanical system shown in Figure 2.20 in...Problem 51P:
Find the series and parallel analogs for the rotational mechanical systems shown in Figure P2.17(b)...Problem 52P:
A system’s output, c, is related to the system’s input, r, by the straight-line relationship, c=5r+7...Problem 54P:
Consider the differential equation d3xdt3+10d2xdt2+20dxdt+15x=fx Where f(x) is the input and is a...Problem 55P:
55. Many systems are piecewise linear. That is, over a large range of variable values, the system...Problem 56P:
For the translational mechanical system with a nonlinear spring shown in Figure P2.35, find the...Problem 57P:
57. Enzymes are large proteins that biological systems use to increase the rate at which reactions...Problem 59P:
Figure P2.36 shows a crane hoisting a load. Although the actual system's model is highly nonlinear,...Problem 60P:
60. In 1978, Malthus developed a model for human growth population that is also commonly used to...Problem 61P:
61. In order to design an underwater vehicle that has the characteristics of both a long-range...Problem 62P:
62. The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumor’s...Problem 63P:
A muscle hanging from a beam is shown in Figure P2.37(a) (Lessard, 2009). The a-motor neuron can be...Browse All Chapters of This Textbook
Chapter 1 - IntroductionChapter 2 - Modeling In The Frequency DomainChapter 3 - Modeling In The Time DomainChapter 4 - Time ResponseChapter 5 - Reduction Of Multiple SubsystemsChapter 6 - StabilityChapter 7 - Steady-state ErrorsChapter 8 - Root Locus TechniquesChapter 9 - Design Via Root LocusChapter 10 - Frequency Response Techniques
Sample Solutions for this Textbook
We offer sample solutions for CONTROL SYSTEMS ENGINEERING homework problems. See examples below:
Feedback plays an important in control system. Feedback is defined as some part of the output or the...Introduction: A mathematical model is defined as a model which describes the system with the help of...To analyse the system, a mathematical model is needed. A mathematical model is defined as a model...Introduction: First order system are those systems whose input-output equation is a first order...Introduction: Linear time invariant system (LTI system) represents a class of systems which are...The complete response of a system consists of mainly two parts: Natural response Forced response...Steady state error: It is defined as the difference between the input and the output of a system....Root locus is a plot of system’s closed loop poles which is defined in terms of gain. From the root...In the gain adjustment technique, we adjust the value of gain to get the improved transient...
Root locus represents the path of closed loop poles of given transfer function in s-plane as the...For a system, the total response of the system is the sum of the steady state response and transient...The major drawback in frequency domain designing method using root locus technique is that even...Control system has changed the way various industries were operating. It gives a precise controlling...
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