MAE 171B - Homework Part A Solutions
Herrick Chang, Kevin Chu, T-C. Tsao
Review Sampled Data System Models: Text Chap. 5.4, 5.5, Sup. Note: Chap. 4.
Note: The modied Z-transform given in the supplementary notes
G(z, m) = Z (G(s)emT s eT s ) = z 1 Z (G(s)e
MAE 171B - Homework Solutions
Herrick Chang, Kevin Chu, Tsu-Chin Tsao
Review the followings: 1. Sampled Signal Analysis: Text 5.1-5.3, Notes: Chap. 2 2. Discrete
System Dynamics: Text Chap 4 (except for State Space 4.3.3-4.3.6, and Discrete Fourier Transf
MAE 171B
Jason Wilson, Chris Lim, Herrick Chang, Kevin Chu
1
Homework 1 Part B Solutions
1.1
Problem 1
Problem
For the torsion system described in Lab 0, using the following parameters:
I = 0.006Kgm2 (orN msec2 )
k = 2.4N m
Ku = 0.402N m/V olt
b = 0.024N
MAE 171B - Homework Part B Problems
Herrick Chang, Kevin Chu, T-C. Tsao
Review Sampled Data System Models: text: 5.4, 5.5, Sup. Note: Chap. 4. Study Part A
solutions. Note: The modied Z-transform given in the supplementary notes
G(z, m) = Z (G(s)emT s eT
MAE 171B - Homework
Herrick Chang, Kevin Chu, T-C. Tsao
Review of continuous-time control (Chapter 2 of text, skip the state space design 2.6.)
2
Homework 2 Part ASolutions
2.1
Problem 1
Problem
Given a plant with the transfer function G(s) =
1
s2 +s+1
a)
MAE 171B -
1
Homework 1 Part A
1.1
Problem 1
Problem
Suppose a radar search antenna at the San Francisco airport rotates at 6 rev/min, and data points
corresponding to the position of ight 1081 are plotted on the controllers screen once per antenna
revolu
MAE171B DIGITAL CONTROL OF PHYSICAL SYSTEMS
Chapter 1 INTRODUCTION TO COMPUTER
CONTROLLED SYSTEMS
The objective of this course is to build upon the introductory feedback control course (e.g.
MAE171A) some of the advanced issues in automatic control system
clear all
close all
load lab1data
Ts=.001;
U=lab1data.Y(2).Data*10; %units = volts
Y=lab1data.Y(1).Data/4000*2*pi; %units = radians
batch_length=15000; %
%Parse data and compute correlation functions
for k=1:20
y(k,:)=Y(batch_length*(k-1)+1:k*batch_leng
MAE 171B - Homework Problems
Tsu-Chin Tsao
3
Homework 3 Part B Problems
Review the followings and submit work on Part B: 1. Sampled Signal Analysis: Text 5.1-5.3,
Notes: Chap. 2 2. Discrete System Dynamics: Text Chap 4 (except for State Space 4.3.3-4.3.6,
MAE 171B
Chris Lim, Kevin Chu
2
Homework 2 Part B Solutions
The following laboratory torsion system is considered.
The top two disks are clamped down and only the bottom disk can rotate.
2.1
Problem 1
Problem
Given the torsion system plants nominal model
MAE 171B - Homework
T-C. Tsao
Assignment: 1. Review the continuous-time control (Chapter 2 of text, skip the state space design
2.6.) 2. Study Part A problems with worked solutions 3. Submit your work for part B.
2
Homework 2 Part B Problems
The following
MAE171B - Digital Control of Physical Systems
1
Spring 2010
Lab #1
Safety
Please keep these points in mind at all times:
Keep your hands away from moving parts.
Do not disconnect any cables from the experiments.
Designate a group member to operate the pow
MAE 171B DIGITAL CONTROL OF PHYSICAL SYSTEMS
Chapter 2 SAMPLED DATA ANALYSIS
In the context of control, signal processing and communication, sampling means that a
continuous-time signal is replaced by a discrete sequence of numbers that represents the sig
MAE 171B DIGITAL CONTROL OF PHYSICAL SYSTEMS
Chapter 3 The zTransform and the
Difference Equations
z-transform is one of the mathematical tools used for the analysis and design of discrete-time
control systems. The role of the z-transform in digital contr
Recap
Lecture 3 & 4
Pulse Train and Impulse Sampling
Define: Pulse Train T(t)
=
T (t )
T
k =
(t kT )
k =
periodic signal with period T
-2T
-T
0
T
2T
3T
The sampling process can be interpreted as an amplitude
modulation (AM) process, when the C.T. sign
MAE 171B Digital Control of Physical Systems
Chapter 4 Discrete-Time System Representation
Before any controller can be designed, one needs to obtain a model of the physical process
that is to be controlled. The techniques to represent a continuous-time p
MAE171B DIGITAL CONTROL OF PHYSICAL SYSTEMS
Chapter 6 Design of Discrete Time Controller
Input/Output Approaches
Controller design process is directly coupled with the description of the plant dynamics.
Since there are two approaches to plant description
MAE171B Assignment #1
_
Reading And Review Assignments:
(1) Text Chapter 1 & 2, Supplementary Notes Chap1 and
(2) Differential Equations (System Dynamics) Review.
(3) Assignment #1 Part A
Do and Submit Part B:
[1] For the torsion system described in Lab 0
ME171B Digital Control
of Physical Systems
Professor Tsu-Chin Tsao
37-130 Eng. IV
E-mail: ttsao@seas.ucla.edu.edu
310 206-2819
Course Objective
This course picks up the control system development where 171A
left off. It is intended to facilitate the stude