Adaptive Regulation to Invariant Sets

Details Adaptive Regulation to Invariant Sets Adaptive Regulation to Invariant Sets

2004-12-22

arxiv.org/abs/math/0412442v1

Mathematics

Optimization and Control

7 pages, preprint of the paper accepted for the 16-th IFAC World Congress, Prague, 2005

Scientific paper

A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametric uncertainties is provided by additional adaptation algorithm. We show that for a sufficiently large class of nonlinear systems it is possible to adaptively steer the system trajectories to the desired non-equilibrium state without requiring knowledge or existence of a specific strict Lyapunov function.

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