HOMOGENEOUS OBSERVERS WITH DYNAMIC HIGH GAINS

High gain observers with updated gain and homogeneous correction terms

Exploiting dynamic scaling and homogeneity in the bi-limit, we developp a new class of high gain observers which incorporate a gain update law and nonlinear output error injection terms. A broader class of systems can be addressed and the observer gain is better fitted to the incremental rate of the nonlinearities. The expected improved performance is illustrated.

Fault Diagnosis with Static and Dynamic Observers

We study sensor minimization problems in the context of fault diagnosis. Fault diagnosis consists in synthesizing a diagnoser that observes a given plant and identifies faults in the plant as soon as possible after their occurrence. Existing literature on this problem has considered the case of fixed static observers, where the set of observable events is fixed and does not change during execut...

[hal-00229705, v1] Proof of Theorem 2 in "High-gain observers with updated high-gain and homogeneous correction terms"

The aim of this note is to prove Theorem 2 in (Andrieu at al., 2007).

Dynamic Programming with Homogeneous Functions

A major limitation in applying the tools of dynamic programming to many economic problems has been the lack of a general theory for the case where returns are unbounded. Except for a few special cases where closed form solutions are available (linear-quadratic models and the log-Cobb Douglas growth model being the leading examples), recursive methods have not been useful. Here we establish that...

Measurable Dynamic Gains from Trade