# Workshop of Prof. Fliess 2002

**Algebraic Methods in Control: Theory and Practice**

We will be presenting new trends in control theory which, like flatness, have demonstrated a remarkable applicability to concrete case-studies. We will be reviewing questions stemminng from predictive control, PID regulators, on-line identification, etc. The mathematical tools which are mainly of algebraic flavour will be carefully studied. The theory will beillustrated by many examples.

Summary of the lecture:

We are presenting "state
reconstructors" which might be a possible alternative to
asymptotic observers and Kalman filtering. They do not necessitate
the integration of any differential equation and are robust with
respect to a large variety of perturbations. When those
perturbations are random noises, no precise knowledge of their
statistical properties is required.