ECE5551 Fall 2014
Lecture Note 11
Tracking Control
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Tracking Control
Our focus in this class so far is mainly about regulation problems:
namely, design control
ECE5551 (Fall 2016)
Lecture Note 4.1
Discrete Fourier Transform as Least Squares
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Discrete Fourier Transform (DFT):
Represent a given discrete time signal [] wi
ECE5551 (Fall 2016)
Lecture Note 4
Least Squares and Basic System Identification
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Last lecture: obtain discrete-time linear state space model from
physical proc
ECE5551 Fall 2016
Lecture Note 3
State Space Models
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
State-Space Based Feedback control system:
Goal: determine control input to achieve desired output
Plant
()
ECE 5551 Fall 2016
Assigned September 26, 2016
Assignment # 4
Due: 4pm, September 30 (Friday), 2016
If you cannot come to class or there is no class on the due day, please turn in your
assignment to the dropbox by my office door (DL404) before the due ti
ECE5551 Fall 2016
Lecture Note 2
Review of Probability Theory
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
What is probability?
A formal way to quantify the uncertainty of our knowledge about
the physical
ECE 5551 Fall 2016
Assigned September 06, 2015
Homework # 2
Due by 3:30pm, September 14, 2016
If you cannot come to class or there is no class on the due day, please turn in your
assignment to the dropbox by my office door (DL404) before the due time (NO
ECE 5551 Fall 2016
Assigned August 26, 2016
Homework # 1
Due: 4pm, September 2 (Friday), 2016
If you cannot come to class or there is no class on the due day, please turn in your assignment
to the dropbox by my office door (DL404) before the due time (NO
ECE 5551 (Fall 2016)
Lecture Note 1
Introduction & Review of Linear Algebra
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Course Basic Information:
Title: State-Space Control Systems
Location: Journalism
ECE5551 Fall 2014
Lecture Note 9
Review of Probability Theory
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Whatisprobability?
A formal way to quantifytheuncertaintyofourknowledgeabout
thephysicalworld
Fo
ECE 5551 Fall 2014
Lecture Note 6
State Feedback and Output
Feedback control
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Statespacesolution(with zerocontrol = 0)
= 0
Jordanform:
1
= 1 =
2
1
=
Recal
ECE5551 Fall 2014
Lecture Note 7
Digital Regulator Design Example
in Simulink
Wei Zhang
Assistant Professor
Electrical and Computer Engineering
The Ohio State University
1
Basiccontrolsystemconfiguration
controller
D/A
Plant
A/D
()
observer
()
Regul
xdata = [1 0.5 -2 3 2.5]';
ydata = [1.4 1.2 -3.6 6.8 4.5]';
% fitting a line y = alpha x + beta
H = [xdata(:) ones(5,1)]
thetaLS = inv(H'*H)*H'*ydata;
x=-4:0.1:4;
y = thetaLS(1)*x + thetaLS(2);
plot(xdata,ydata,'rx','markersize',12,'LineWidth',3);
hold on