MAEG5725 Assignment 2
Due Day: 05 March, 2013
Q.1) The block diagram of a system is given as follow
R(s)
+
y(s)
1
s+2
+
3
1
s
+
+
Fig. Q.1
a). By choosing a suitable set of state variables, obtain state equation and output
equation as
&
x(t ) = Ax (t ) +
Control and Industrial
Automation
(MAEG5725)
Department of MAE (12-13)
1
Course Information
Course Website: https:/elearn.cuhk.edu.hk
Instructor: Y.Y. Li ()
Tel: 3943 8476; Office: ERB 315B; Email: yli@mae.cuhk.edu.hk
Tutors: Lu, Maobin, ERB411, 39438046,
Chapter 5
Chapter
State Space Design
Contents
Statefeedbackcontroldesign
Asymptotictrackingfeedforward design
Estimatordesign
Compensatordesign
2
5.1 State Feedback Control
Design
3
Review
Eigenvalues
Given
&
x = Ax + Bu,
y = Cx
Thecharacteristicequationo
Chapter 3
Stability Analysis
Extra references:
DeRusso et al. (1998), State Variables for Engineers, Ch.9
Szidarovszky & Bahill (1997), Linear Systems Theory, 2nd Ed, 4.1-2.
Part of materials in this chapter are from the open course in MIT for teaching an
Chapter 4
Controllability and
Observability
Extra references:
Extra
Some contents in this Chapter are from HUs open-materials from the website.
1
Contents
Basicconcepts
Controllability analysis
Observability analysis
Remarks
2
4.1 Basic Concepts
Review on
Chinese University of Hong Kong
Instructions for Mid-term Test
The Mid-term exam will be on Tuesday, March 12.
Venue: AIT G04;
Duration: TWO hours (7pm-9pm)
The exam will cover all materials through Chapters 2 to 4.
It is a open-book and open-note exam.
C
Chapter 2
State Space Representation
1
Review: A case of control system design
Physical model
Mathematical
(or dynamics) model
Schematic diagram
&
cfw_Q(t )= [A]cfw_Q(t )+ [B]cfw_U (t )
2
Contents
MathematicalModeling
StateSpaceAnalysis
Basic concepts
Sta
MAEG5725 Assignment 1
Due Day: 19 Feb., 2013
Q.1) Consider the RLC circuit shown in Fig.Q1. By choosing a suitable set
of state variables, obtain the state equation and the output equation
R
L
+
+
u(t)
i(t)
u c(t)
Input
+
_
Output
_
y
_
Fig. Q.1
(Hint: th
Chapter 2
State Space Representation
Feedback control of dynamic systems, 6ed,
Gene F. Franklin, Prentice Hall, 2012.
1
Contents
MathematicalModeling
StateSpaceAnalysis
Basic concepts
State space representation of continuous systems
Solution of the state