A Sum-of-Squares Approach to the Stability and Control of Interconnected Systems using Vector Lyapunov Functions

被引：0
|
作者：
Kundu, Soumya [1 ,2 ]
Anghel, Marian [2 ]
机构：
[1] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[2] Los Alamos Natl Lab, Informat Sci Grp CCS 3, Los Alamos, NM 87545 USA
来源：
2015 AMERICAN CONTROL CONFERENCE (ACC) | 2015年
关键词：
D O I：
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
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页码：5022 / 5028
页数：7
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