ME697
Assignment #1
Due: 1/26
Spring 2010
1. Compute the cylindrical extension of fuzzy set A = cfw_0.3/ x1 0.4 / x2 into Cartesian product
domain cfw_ x1 , x2 cfw_ y1 , y2 .
2. A fuzzy system with one input and one output is described by the following
2. Some analytical models of nonlinear
physical systems
( Discrete Dynamical Systems:
a)
1. Inverted Double Pendulum:Cons
ider the
doubl pendul s
e
um hown:
k 1, 2  l
k
P
inear tors
ional
sf s
tifnes es
T2
l
x
ll
ength ofeac rod
h
A
T 1 k2
P  external
ME 680 Introduction to Bifurcation
and Chaos
(Spring 2010)
Anil K. Bajaj
School of Mechanical Engineering
1
Text Book:
Troger, H. and Steindl, A.: Nonlinear
Stability and Bifurcation Theory: An
Introduction for Scientists and Engineers,
SpringerVerlag, W
Self Organizing Fuzzy Controller
Phuong Ngo
ME 697 intelligent systems
Introduction
Based on the value of the performance index or objective
function, the system performance is evaluated
An appropriate adaptation signal is generated to modify the
contro
ME 697 Term Project Proposal Format
I.
Abstract:
A brief description of the overall idea of your intelligent systems design
II.
Objective:
Briefly, state the objective of your project.
III.
Problem Description:
Explain the problem being considered and why
Introduction
The Basic Idea of DBP
How DBP works
Applications
Concluding Remarks
References
Dynamic Backpropagation
ME697Y  Intelligent Systems
Isabelle A. G. Laureyns
February 2, 2010
1 / 23
Introduction
The Basic Idea of DBP
How DBP works
Applications
One Dimensional Systems
Considerthe equation x fx t)
e
( , wher x is a
()
scalar I fx t) fx only,then system is
. f (,
autonomous;other
wise it is nonautonomous.
Ther ar ver f onedimensional nonlinear
ee
y ew
equations that ar exactly solvable. Consider
4. Bifurcations and stability in 1D
Consider the system:
du
F(P,u),
dt
u R, P R, F Ck (R,R )
(1)
Steadystate solns:
Let u H o F(P, H )
0
(2)
W e study singular points ofthe c es F(P, H ) in
urv
(P, H ) plane Suppose (P0 , H0 ) is a solution.
.
I plicit
Training of Recurrent Neural
Training
Network
ME 697Y
Sidharth Balasubramaniam
A Hybrid of Genetic Algorithm and Particle
Hybrid
Swarm Optimization (HGAPSO)
Structural/Functional mapping problem
GAs are Unsatisfactory for complex
problems, and many possib
Topics for Presentation
Requirement: 1520 min. power point presentation. The presentation material must be
submitted to Professor Shin 2 days before your designated presentation time for review
and approval.
Topics of choice:
Dynamic back propagation: Is
ME 697Y SYLLABUS  SPRING 2010
Intelligent Systems: Modeling, Optimization and Control Course Web Site: http:/engineering.purdue.edu/ME697Y/ Instructor: Lecture Hours: Office Hours: Course Objective: Professor Yung C. Shin 4949775 Email: [email protected]
2Dimensional Systems (autonomous)
Every system is of the form
x
f(x,x)
g(x)
0
Ex: The damped pendulum
O
g
l
m
e
eR
Kinematics :
r
r eR e
e
r
e
eR
2eR
e
1
Applying Newtons second law to the particle
g
T
m
mg
cl
mr F
e
F
(mgcos
eR
er :
c ) e
( mgsin
e
Geometrical Analysis of 1D Dynamical Systems
Logistic equation: n
r n(1 n)
velocity function
Equilibria or fixed points : initial conditions n* where
you start and stay without evolving for all time. They
correspond to zeros of the velocity function:
ME 680
Spring 2010
Topics for Term Projects
1. Nonlinear Dynamics of Cables
a. Spatiotemporal dimensionality in the overall complex dynamics of an
experimental cable/mass system, International Journal of Solids and Structures, Volume
38,Issues1013, Marc
Design of Fuzzy Model Predictive
Control for CSTR
William Benjamin
ME 697Y Presentation
Continuous stirredtank reactor
(CSTR)
The continuous stirredtank reactor (CSTR), also known as vat or backmix
reactor, is a common ideal reactor type in chemical en
Decomposition of a Fuzzy Controller
Based on the Inference Breakup Method
Marjan Golob, Laboratory for Process Automation, Faculty of Electrical Engineering
and Computer Science, University of Maribor, Smetanova 17, 2000 Maribor,
SLOVENIA, Tel: +386 62 2
ME 680: BIFURCATIONS AND CHAOS
(Spring 2010)
Instructor:
Anil K Bajaj, School of Mechanical Engineering,
Office: Room ME 368 (Alternatively, Room ME 110): Phone # 4946896.
Time and Place:
Tuesday, Thursday: 1:30 pm  2:45 pm, Room ME 256.
Text Book:
(1)
ME697
Assignment #4
Due: 4/7/10
Spring 2010
1. Design and implement a fuzzy controller covered in the class (lecture note 5#). There were
7 example problems (pick one):

Electromagnetic suspension system (fuzzy PID)
Twolink robot (Hybrid fuzzy)
DC serv
ME697
Assignment #3
Due: 2/25/10
Spring 2010
1. Using the Genetic Algorithm, obtain the optimal solution to maximize the function f(). Show
the fitness function value in terms of iterations (generations). Use population size of 6.
f ( x, y ) = 15 xy (1 x