Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization

Details Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization

2006-06-09

arxiv.org/abs/math/0606206v1

I. Yu. Tyukin, C. van Leeuwen. Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization. Le

Mathematics

Optimization and Control

20 pages, 2 figures

Scientific paper

We propose a technique for the design and analysis of decentralized adaptation algorithms in interconnected dynamical systems. Our technique does not require Lyapunov stability of the target dynamics and allows nonlinearly parameterized uncertainties. We show that for the considered class of systems, conditions for reaching the control goals can be formulated in terms of the nonlinear L_2-gains of target dynamics of each interconnected subsystem. Equations for decentralized controllers and corresponding adaptation algorithms are also explicitly provided.

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