Optimization and Systems Theory Seminar
Friday, Nov. 26, 1999, 11.00-12.00, Room 3721, Lindstedtsv. 25

Dr. Ulf Jönsson
Optimization and Systems Theory
E-mail: ulf.jonsson@math.kth.se

Robustness of periodic systems

Robustness problems for Linear Time Periodic (LTP) systems appear in many engineering applications. Some examples are analysis of
1. rotating machineries,
2. harmonic disturbances in electric networks,
3. bending and torsion vibrations of beams subject to parametric excitation.
There is thus a need for extensions of concepts such as the Nyquist criterion, mu-analysis, and integral quadratic constraints to LTP systems. We will give a brief overview of some methods that have been proposed for analysis of LTP systems. Special emphasis will be given to a new method that is based on integral quadratic constraints and convex optimization.

We will then continue to discuss ongoing research and possible future research directions in the area of periodic systems. This will include a discussion on robustness and perturbation bounds for periodic trajectories and limit cycles.

Calendar of seminars
Last update: November 8, 1999 by Anders Forsgren, anders.forsgren@math.kth.se.