Adaptive Observers and Parametric Identification for Systems without a Canonical Adaptive Observer Form

Details Adaptive Observers and Parametric Identification for Systems without a Canonical Adaptive Observer Form Adaptive Observers and Parametric Identification for Systems without a Canonical Adaptive Observer Form

2009-03-13

arxiv.org/abs/0903.2361v3

Mathematics

Optimization and Control

Preliminary version is presented at the 17-th IFAC World Congress, 6-11 Seoul, 2008

Scientific paper

We consider the problem of asymptotic reconstruction of the state and parameter values in dynamical systems that cannot be transformed into a canonical adaptive observer form. A solution to this problem is proposed for a class of systems for which the unknowns are allowed to be nonlinearly parameterized functions of state and time. Going beyond the concept of asymptotic Lyapunov stability, we provide for this class of systems a reconstruction technique, based on the notions of weakly attracting sets, non-uniform convergence, and Poisson stability.

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