Difference between revisions of "CDS 101/110  State Feedback"
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== Overview ==  == Overview ==  
−  '''Monday:''' Reachability and State Feedback ({{cds101 handouts placeholderL51_reachability.pdfSlides}}, {{cds101 mp3  +  '''Monday:''' Reachability and State Feedback ({{cds101 handouts placeholderL51_reachability.pdfSlides}}, {{cds101 mp3cds10120071029.mp3MP3}}) 
This lecture introduces the concept of reachability and explores the use of state space feedback for control of linear systems. Reachability is defined as the ability to move the system from one condition to another over finite time. The reachability matrix test is given to check if a linear system is reachable, and the test is applied to several examples. The concept of (linear) state space feedback is introduced and the ability to place eigenvalues of the closed loop system arbitrarily is related to reachability. A cart and pendulum system and the predator prey problem are used as examples.  This lecture introduces the concept of reachability and explores the use of state space feedback for control of linear systems. Reachability is defined as the ability to move the system from one condition to another over finite time. The reachability matrix test is given to check if a linear system is reachable, and the test is applied to several examples. The concept of (linear) state space feedback is introduced and the ability to place eigenvalues of the closed loop system arbitrarily is related to reachability. A cart and pendulum system and the predator prey problem are used as examples.  
−  '''Wednesday:''' State Feedback Design ({{cds101 mp3  +  '''Wednesday:''' State Feedback Design ({{cds101 mp3cds10120071031.mp3MP3}}) 
This lecture will present more advanced analysis on control using state feedback. The material from this lecture will not be covered on the homework.  This lecture will present more advanced analysis on control using state feedback. The material from this lecture will not be covered on the homework. 
Revision as of 23:48, 3 November 2007
See current course homepage to find most recent page available. 
CDS 101/110a  Schedule  Recitations  FAQ  AM08 (errata) 
Overview
Monday: Reachability and State Feedback (Slides, MP3)
This lecture introduces the concept of reachability and explores the use of state space feedback for control of linear systems. Reachability is defined as the ability to move the system from one condition to another over finite time. The reachability matrix test is given to check if a linear system is reachable, and the test is applied to several examples. The concept of (linear) state space feedback is introduced and the ability to place eigenvalues of the closed loop system arbitrarily is related to reachability. A cart and pendulum system and the predator prey problem are used as examples.
Wednesday: State Feedback Design (MP3)
This lecture will present more advanced analysis on control using state feedback. The material from this lecture will not be covered on the homework.
Friday: Midterm review
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 6  State Feedback.
Midterm
The exam will consist of 35 problems, covering the material in the first five weeks of the course (including reachability and state feedback). The exam will be open book. You may use the course notes, any of the optional texts (Friedland, FranklinPowell and EmamiNaeni, Lewis), course handouts, lecture notes, course problem sets and solutions, and your own handwritten notes. No other books are allowed.
You may use a computer or calculator for carrying out numerical computations. MATLAB may be used but is not required. You are not allowed to use the Internet during the exam (except for accessing local computing resources, such as MATLAB/SIMULINK), but you may download or print out copies of presentations, notes, FAQs, or other material posted on the course web site (CDS 101 or 110). You are not allowed to print out contents of other sites for use while taking the exam (although you can take handwritten notes on the sites and use your own notes in the exam).
The exam will be due by 5 p.m. Tuesday, 6 November, in the box outside 102 Steele. Please write your solutions in a fresh exam book (blue book). We have to grade a large collections of exams in a short time and it makes things much simpler to manage if everyone uses a bluebook.
FAQ
Monday <ncl>CDS 101/110 FAQ  Lecture 51, Fall 2007</ncl> Wednesday <ncl>CDS 101/110 FAQ  Lecture 52, Fall 2007</ncl> Friday <ncl>CDS 101/110 FAQ  Lecture 53, Fall 2007</ncl> Midterm <ncl>CDS 101/110 FAQ  Midterm</ncl>