CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 1, Problem 3P
An aircraft's attitude varies in roll, pitch, and yaw as defined in Figure Pl .2. Draw a functional block diagram for a closed-loop system that stabilizes the roll as follows: The system measures the actual roll angle with agyro and compares the actual roll angle w ith the desired roll angle. The ailerons respond to the roll-angle error by undergoing an angular deflection. The aircraft responds to this angular deflection, producing a roll angle rate. Identify the input and output transducers, the controller, and the plant. Further, identify the nature of each signal. [Section 1.4: Introduction to a Case Study]
FIGURE Pl.2 Aircraft attitude defined
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Problem 3:
Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or
reciprocating motion to rotational motion and vice versa. It is widely used in cars' engines and hydraulic pumps.
Your role in car's engine manufacturing company is to analyze the displacement, velocity and acceleration
diagrams for crankshaft planer mechanism to later find the forces of the links to avoid overloading the system.
Your manger asked you the provide detailed analysis of the crankshaft planar mechanism shown in Figure.3.
Part.1:
-140 mm
60 mm
Crank
Connecting Rod
x(t)
V(t)
a(t)
F(t)
(OB
Piston
x(t)
Reference
Figure.3: Crankshaft planar mechanism for a car 'engine.
If the zero-position x=0 at the extreme right as shown in Figure.3, perform the following tasks:
1. Derive a mathematical relation for displacement, velocity and acceleration x(t), v(t) and a(t) of the
piston B.
2. Derive a mathematical relation for force F(t) on the piston B by making use of the…
2. A model for an airplane's pitch loop is shown below. Find the range of K that will keep the system
stable. Can the system ever be unstable for positive values of K?
Controller
Aircraft dynamics
Commanded
pitch angle +
K(s + 1)
Pitch angle
s + 10
s2 + 0.6s + 9
(s + 4.85)
1
Gyro
Chapter 1 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 1 - Prob. 1RQCh. 1 - Prob. 2RQCh. 1 - Prob. 3RQCh. 1 - Prob. 4RQCh. 1 - State one condition under which the error signal...Ch. 1 - Prob. 6RQCh. 1 - Name two advantages of having a computer in the...Ch. 1 - Name the three major design criteria for control...Ch. 1 - Prob. 9RQCh. 1 - Physically, what happens to a system that is...
Ch. 1 - Instability is attributable to what pan of the...Ch. 1 - Describe a typical control system analy sis task.Ch. 1 - Describe a typical control system design task.Ch. 1 - Prob. 14RQCh. 1 - Name three approaches to the mathematical modeling...Ch. 1 - Briefly describe each of your answers to Question...Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - An aircraft's attitude varies in roll, pitch, and...Ch. 1 - We can build a control system that will...Ch. 1 - Prob. 5PCh. 1 - During a medical operation an anesthesiologist...Ch. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - The human eye has a biological control system that...Ch. 1 - A Segway ®5 Personal Transporter (PT) (Figure Pl...Ch. 1 - In humans, hormone levels, alertness, and core...Ch. 1 - Tactile feedback is an important component in the...Ch. 1 - Prob. 13PCh. 1 - Moored floating platforms are subject to external...Ch. 1 - In the Case Study of Section 1.4. an antenna...Ch. 1 - Figure Pl.5 shows the topology of a photo-voltaic...Ch. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Contol of HIV/AIDS. As of 2012. the number of...Ch. 1 - Prob. 23PCh. 1 - Parabolic trough collector. A set of parabolic...
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