English

Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization

Optimization and Control 2007-05-23 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.math/0606206,
  title  = {Decentralized adaptation in interconnected uncertain systems with nonlinear parametrization},
  author = {Ivan Tyukin and Cees van Leeuwen},
  journal= {arXiv preprint arXiv:math/0606206},
  year   = {2007}
}

Comments

20 pages, 2 figures