Difference between revisions of "CDS 101/110  System Modeling"
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This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.  This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.  
'''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handoutsL22_odes_h.pdfSlides}}, MP3)  '''Wednesday:''' Modeling using Ordinary Differential Equation ({{cds101 handoutsL22_odes_h.pdfSlides}}, [[Media:4Oct06.mp3MP3]])  
A more complete description of modeling with differential and difference equations.  A more complete description of modeling with differential and difference equations.  
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'''Friday:''' {{cds101 lectureReview of Linear Algebra and ODE}} (Mary Dunlop)  '''Friday:''' {{cds101 lectureReview of Linear Algebra and ODE}} (Mary Dunlop)  
This lecture will provide a review of key concepts from linear algebra and differential equations, tuned to the needs of the course.  This lecture will provide a review of key concepts from linear algebra and differential equations, tuned to the needs of the course.  
== Handouts ==  == Handouts == 
Revision as of 19:25, 5 October 2006
See current course homepage to find most recent page available. 
CDS 101/110a  Schedule  Recitations  FAQ  AM06 (errata) 
Overview
Monday: Introduction to Modeling (Slides, MP3)
This lecture provides an overview of modeling for control systems. We discuss what a model is and what types of questions it can be used to answer. The concepts of state, dynamics, inputs and outputs are described, including running examples to demonstrate the concepts. Several different modeling techniques are summarized, with emphasis on differential equations. Two examples are included to demonstrate the main concepts.
Wednesday: Modeling using Ordinary Differential Equation (Slides, MP3)
A more complete description of modeling with differential and difference equations.
Friday: Review of Linear Algebra and ODE (Mary Dunlop)
This lecture will provide a review of key concepts from linear algebra and differential equations, tuned to the needs of the course.
Handouts
Monday

Wednesday (CDS 110)

Friday 
Reading
 K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Preprint, 2006. Chapter 2  System Modeling.
Homework
This homework set demonstrates the construction and use of models for control systems. The first problem asks the student to identify the states, inputs, outputs, and dynamics for a sample systems. The second problem consists of a detailed construction of a vehicle model that can be used for cruise control. The last two problems (CDS 110 only) explore different modeling techniques, including both discrete time, analytical, and MATLABbased analysis of dynamical systems.
 SIMULINK speed control module (for problem #2): hw1cruise.mdl, documentation
FAQ
Monday <ncl>CDS 101/110 FAQ  Lecture 21</ncl> Wednesday <ncl>CDS 101/110 FAQ  Lecture 22</ncl> Friday <ncl>CDS 101/110 FAQ  Lecture 23</ncl> Homework <ncl>CDS 101/110 FAQ  Homework 2</ncl>