Solutions for CONTROL SYSTEMS ENGINEERING
Problem 7RQ:
7. What is the difference between the natural frequency and the damped frequency of oscillation?
Problem 13RQ:
What pole locations characterize (1) the underdamped system, (2) the overdamped system, and (3) the...Problem 15RQ:
How can you justify pole-zero cancellation?Problem 17RQ:
17. What is the relationship between , which appeared during the Laplace transformation solution of...Problem 18RQ:
Name a major advantage of using time-domain techniques for the solution of the response.Problem 20RQ:
What three pieces of information must be given in order to solve for the output response of a system...Problem 4P:
Find the capacitor voltage in the network shown in Figure P4.2 if the switch closes at t = 0. Assume...Problem 6P:
For the system shown in Figure P4.3, (a) find an equation that relates settling time of the velocity...Problem 9P:
MATLAB ML 9. Use MATLAB to find the poles of [Section: 4.2] T s = s 2 +2s+2 s 4 +6 s 3 +4 s 2 +7s+2Problem 10P:
Find the transfer function and poles of the system represented in state space here. [Section: 4.10]...Problem 12P:
Write the general form of the capacitor voltage for the electrical network shown in Figure P4.4....Problem 14P:
Solve for x(t) in the system shown in Figure P4.5 f(t) is a unit step. [Section: 4.4] M = 2 kg Ks= 6...Problem 17P:
Calculate the exact response of each system of Problem 8 using Laplace transform techniques, and...Problem 20P:
For each of the second-order systems that follow, find , n , T s , T p , T r , and %OS. [Section:...Problem 21P:
MATLAB ML 21. Repeat Problem 20 using MATLAB. Have the computer program estimate the given...Problem 22P:
GUI Tool GUIT
22. Use MATLAB’s LTI Viewer and obtain settling time, peak time, rise time, and...Problem 24P:
Find the transfer function of a second-order system that yields a 15% overshoot and a settling time...Problem 25P:
For the system shown in Figure P4.7, do the following: [Section: 4.6] a. Find the transfer function...Problem 26P:
For the system shown in Figure P4.8, a step torque is applied at 1t . Find: a. The transfer...Problem 38P:
State Space SS 38. A system is represented by the state and output equations that follow. Without...Problem 41P:
State Space SS 41. Given the following system represented in state space, solve for Y(s) using the I...Problem 42P:
State Space SS 42. Solve the following state equation and output equation for y(t), where u(t) is...Problem 55P:
A MOEMS (optical MEMS) is a MEMS (Micro Electromechanical Systems) with an optical fiber channel...Problem 69P:
Figure P4.l6 shows the step response of an electric vehicle's mechanical brakes when the input is...Problem 70P:
Figure P4. I 7 shows the free-body diagrams for planetary gear components used in the variable valve...Problem 73P:
Find an equation that relates 2% settling time to the value of fvfor the translational mechanical...Problem 76P:
76. Find J and K in the rotational system shown in Figure P4.21 to yield a 30% overshoot and a...Problem 77P:
Given the system shown in Figure P4.22, find the damping, D, to yield a 30% overshoot in output...Problem 79P:
Find M and K, shown in the system of Figure P4.24, to yield x(t) with 16% overshoot and 20 seconds...Problem 80P:
If vi(t) is a step voltage in the network shown in Figure P4.25, find the value of the resistor such...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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