A Sum-of-Squares approach to the Stability and Control of Interconnected Systems using Vector Lyapunov Functions
Abstract
Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based estimates for the region-of-attraction (ROA) of polynomial dynamical systems. But for a real-life large scale dynamical system this method becomes inapplicable because of growing computational burden. In such a case, it is important to develop a subsystem based stability analysis approach which is the focus of the work presented here. A parallel and scalable algorithm is used to infer stability of an interconnected system, with the help of the subsystem Lyapunov functions. Locally computable control laws are proposed to guarantee asymptotic stability under a given disturbance.
Keywords
Cite
@article{arxiv.1501.05266,
title = {A Sum-of-Squares approach to the Stability and Control of Interconnected Systems using Vector Lyapunov Functions},
author = {Soumya Kundu and Marian Anghel},
journal= {arXiv preprint arXiv:1501.05266},
year = {2015}
}
Comments
to be published in 2015 American Control Conference, Chicago, USA