General information

Catalog no.: 038798 (graduate)
Credit points: 3
Prerequisites: 035188—Control Theory
Grading policy: Homework (100%, 5 out of 6, provided all solutions are submitted)

Homework solutions to be submitted electronically in PDF format (typeset, not a scan of a handwritten text) to (if you're unlucky to be stuck with MSWord on Windows, PDF files can be created from DOC sources via this site for free)

Lecturer

Leonid Mirkin, 210 D. Dan and Betty Kahn Bld., phone: 3149, email: 

Classes

Thursday, 10:30-13:20, room 451, Lady Davis Bld.

Syllabus

  1. Components of linear sampled-data systems (discrete- and continuous-time systems, A/D and D/A converters)
  2. Classical sampled-data control (digital redesign of analog controllers, discrete-time design)
  3. Lifting technique
  4. The Sampling Theorem and its generalizations
  5. Steady-state response of sampled-data systems
  6. Multirate sampled-data systems
  7. Sampled-data H² control
  8. Sampled-data H∞ control
  9. Networked systems: opportunities and challenges (intermittent and event-based sampling)

Literature:

  1. Course lectures
  2. Åström K. J. and B. Wittenmark. Computer-Controlled Systems: Theory and Design, Englewood Cliffs, NJ: Prentice Hall, 1997
  3. Chen T. and B. A. Francis. Optimal Sampled-Data Control Systems, London: Springer-Verlag, 1995.
  4. Garcia E., P. J. Antsaklis, and L. A. Montestruque. Model-Based Control of Networked Systems, Boston: Birkhäuser, 2014.

Lectures

  1. Introduction; continuous- and discrete-time signals and systems (also in beamer mode)
  2. A/D and D/A conversion (also in beamer mode) (updated 12.4.2016)
  3. Classical approaches to sampled-data control (also in beamer mode)
  4. Lifting of signals and systems (also in beamer mode)
  5. L² model matching and underlying machinery (also in beamer mode) (updated 6.5.2016)
  6. L² approximation of analog systems (also in beamer mode)
  7. H² approximation of analog systems (also in beamer mode)
  8. State-space machinery and its application to H² estimation (also in beamer mode)
  9. Standard H² problems (continuous-time, discrete-time, and sampled-data) (also in beamer mode)
  10. H²-optimal sampler and hold; hybrid systems with two-point boundary conditions (also in beamer mode) (updated 11.8.2016)
  11. Digital redesign revisited (also in beamer mode)
  12. Networked sampled-data systems (also in beamer mode)
  13. Frequency-domain analysis of sampled-data systems (also in beamer mode) (updated 21.7.2016)

Homework