AA 2009/2010

Course of Numerical Methods for Dynamic Systems and Control [140155]

• Course notes
  • Comparison of Laplace and Z-transform
  • Connection between Bode plot and Laplace
  • Study with Fourier serie of three phase rectifier
  • Example of computation of exponential matrix
  • Computation of exponential matrix, many methods
  • Little tutorial on computing matrix exponential
  • Example of Index 1 DAE
  • Example of DAE: Pendulum in cartesian coordinate
  • Example of MATLAB solver with implicit Euler for the Pendulum in cartesian coordinate
  • Example of Brachiostosdcrone problem with indirect method
• Student’s project
• Examination 8 January 2010
• Examination 16 February 2010
• Examination 16 June 2010
• Examination 13 July 2010
• Examination 8 September 2010

Lessons timetable

DAY	TIME	ROOM
Monday	15:30 - 17:30	108
Tuesday	8.30 - 11.30	R4
Wednesday	9.30 - 12.30	R4

Reception timetable

DAY	TIME	ROOM
Monday	11 - 12	505
Tuesday	11.30 - 12.30	505

Useful link

• Numerical Solution of Differential Algebraic Equations Editors: Claus Bendtsen and Per Grove Thomsen. IMM Technical report, download at this link

• Numerical Solution of Differential Algebraic Equations and Applications Editor: Per Grove Thomsen. IMM Technical report, download at this link

• An interesting paper of Linda Petzold on DAE DAE are not ODE: download at this https://doi.org/10.1137/0903023 free copy at researchgate: link

• An Introduction to Mathematical Optimal Control Theory By Lawrence C. Evans of Department of Mathematics, University of California, Berkeley: download at this link

• An optimal control course at EPFL The course of Dr. Gregory FRANCOIS and Dr. Benoit CHACHUAT can be found at this link

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