Nothing Special   »   [go: up one dir, main page]

EE 550 Linear Control Systems

Download as ppt, pdf, or txt
Download as ppt, pdf, or txt
You are on page 1of 11

EE 550

Linear Control Systems

Professor Samir A. Al-Baiyat


Spring 2006 – 2007
Course Information

OFFICE: 16-149
PHONE: 860 2500
EMAIL: sbaiyat@kfupm.edu.sa
OFFICE HRS: Sat, Mon., 11:00-12:00 or by appt.
GRADING: Homework 15%
Project 20%
Major Exam 25%
Final Exam 40%
INFORMATION: http://webcourses.kfupm.edu.sa
TEXTBOOK Linear System Theory and Design, 3rd
Edition, C. T. Chen

References
• Linear System, Panos Antsaklis and Anthony Michel
• Linear System, Thomas Kailath
• Linear System Theory, W. Rugh

EXAMINATIONS:
Major Exam: Monday April 9, 2007
Final Exam: Wednesday June 6, 2007
Course Objective:
This course provides a basic understanding of
linear multivariable systems through their modeling
and analysis. Both continuous-time and discrete-
time systems will be discussed in the course. After
taking this course, the student will be in a position
to move on to more advanced courses and topics
in systems, control, communications and signal
processing.
TENTATIVE COURSE OUTLINE

•Overview
•Mathematical Description of Systems
– Input-Output Description
– State-Variable Description
•State Space Solutions and Realization
•Stability of Linear Systems
•Controllability and Observability
•Canonical Decompostion
•Minimal Realizations
•State Feedback and State Estimators
•Other Topics as Time Allows
The Study of Systems
Systems: It is a medium that relates a cause to an
effect, or an input to an output.
The study and design of physical systems often
consists of:
1. Performance specifications
2. Modeling
3. Simulations
4. Analysis
5. Optimization
6. Physical Realization
Modeling is the representation of a system and
all its components in a mathematical form.

Depending on the questions asked, or


depending on the operating ranges, a physical
system may have different models

Example: An Automobile may be modeled as a


single particle if we are studying traffic flow but
may be modeled as a spring-mass-damper
system if we are interested in the vibration of the
occupants
• Once a model is selected for a physical
system, the next step is to develop
mathematical equations to describe the
system from the fundamental physical
principles such as:

• Newton’s law for mechanical systems


• Kirchhoff’s voltage and current laws in
electrical systems
• Laws of thermodynamics and transport
phenomena in fluid and thermal systems
• After the mathematical equations for the
model have been obtained the next step in
the study of systems involves both

• Quantitative
– System responses to specified inputs

• Qualitative
– Stability
– Controllability
– Observability
– If the response of the system is found to be
unsatisfactory then an engineering design phase
termed improvement or optimization is initiated

– In some cases a system parameter may be adjusted


to improve the response but in other cases
compensation devices must be injected into the
system

– Finally in the realization phase the proposed system


must be built using actual physical hardware
System Classification

System Classes

Distributed Lumped
Parameter

Stochastic Deterministic

Continuous Discrete
Time Time

Nonlinear Linear Nonlinear Linear

Time Varying Time Invariant

You might also like