Control Systems MEC709
Lab 1
Submit lab report to your TA at the beginning of your next lab: Sections 2, 4 the week of Feb. 14 Sections 1, 3, 5 the week of Feb. 28 Submit the report in groups of 3 stu
Time Response Time Response
CHAPTER 4
(c)2010FarrokhSharifi
1
Poles, Zeros
(section 4.2 in the book)
Goal of this chapter Analysis of system transient response of system transient response Poles of a
Modeling
Chapter 2
Laplace Transform Review Laplace Transform Review
Why?
Many engineering systems are represented mathematically by differential equations. Differential equations are difficult to m
Chapter Chapter 6 Stability
(c) 2010 Farrokh Sharifi
Objectives Objectives
To learn: learn: How to determine the stability of a LTI system using Routh-Hurwitz criterion How to determine system paramet
Special Cases Special Cases
Auxiliary polynomial with reciprocal roots: Original Polynomial: n n 1
s an 1s
n
. a1s a0 0
1 . a1 a0 0 d
Replacing s by 1/d:
1 1 an 1 d d
n 1
1 d
n
1 (1 n ) n 1 1 1 1
Project for MEC709 Control Systems Winter semester 2011
Control of an overhead crane
Goal To provide a complete system modeling, analysis and control design experience.
Objective The objective of this
AER509 Control System
Assignment 3
Due on Feb. 22, 2016
Problem 1: For the unity feedback system shown below, specify the gain K of the feedback controller so that
the output y(t) has an overshoot of
AER509 Control System
Assignment 4
Due on March 14 (Thursday), 2016
1. Given a unity positive feedback system with open-loop transfer function G ( s )
18
s s 7 s 3 7 s 2 18s
5
4
Using the Routh table
AER509 Control System
Assignment 2
Due on Feb. 12, 2016
Problem 1: Using Masons rule, find the transfer function T(s)=Y(s)/R(s).
Problem 2: Using Masons rule or reducing the block diagram to find the
AER509 Control System
Assignment 1 Solution Due on Jan. 29, 2016
1. Solution the following different equations using Laplace transform.
a)
dx
7 x 5cos(2t )
dt
b)
d 2x
dx
d 2x
dx
6
8
x
5sin(3
t
)
c)
AER509 Control System
Assignment 5 Due on April 8, 2016 Before 5 pm
1. Given the unity feedback system with G ( s ) =
K ( s 2 + 130s + 200)
( s + 30)( s 2 20s + 200)
Do the following:
a). Sketch the r
Obtained from Ryerson's Mechanical Engineering Course Union (MECU) - www.ryemecu.com
RYERSON UNIVERSITY
DEPARTMENT OF MECHANICAL and INDUSTRIAL
ENGINEERING
Midterm Test
MEC709 - Control Systems
Date:
Obtained from Ryerson's Mechanical Engineering Course Union (MECU) - www.ryemecu.com
Quiz 2- February 9, 2011
Control Systems (MEC 709)
Department of Mechanical and Industrial Engineering
StudentID:~
RYERSON UNIVERSITY
DEPARTMENT OF MECHANICAL and INDUSTRIAL
ENGINEERING
Midterm Test
MEC709 Control Systems
Date:
March 7, 2012
Time:
110 minutes
Examiner: Prof. F. Sharifi
INSTRUCTIONS:
1. This exam c
Transfer Functions For Systems With Gears Transfer Functions For Systems With Gears
Most rotational mechanical systems have gear trains associated with them; especially those driven by motors Gears p
Electrical Network Transfer Functions Electrical Network Transfer Functions
Example (cont.):
(Step 4) sum voltages around each mesh through which the currents, I1(s) and I2(s), flow:
Mesh 1, where I
MEC709 Fall 2007 Control Systems Course Outline Instructor Siyuan He
Ryerson University Department of Mechanical and Industrial Engineering
COURSE OUTLINE MEC709 CONTROL SYSTEMS Prerequisite: Compulso
Control Systems MEC709 Midterm Exam
b1 Problem
1.
(10 marks)
Consider the following Transfer Function: Gs=10s(s+1)
a) Represent the poles of G(s) in the
plane jw) and specify the following:
b) Draw an
Control Systems MEC709 Midterm Exam
Problem 1.
Obtain the inverse Laplace Transform of
(10 marks)
Control Systems MEC709 Midterm Exam
Problem 2. Find the solution x(t) of the differential equation
(10
ONE
Introduction
ANSWERS TO REVIEW QUESTIONS
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
2. Yes - power gain, remote control, parameter conversion; No - E
Modeling
Chapter 2
Laplace Transform Review Laplace Transform Review
Why?
Many engineering systems are represented mathematically by differential equations. Differential equations are difficult to m