Robust Stability Analysis of Nonlinear Hybrid Systems

Author

Papachristodoulou, Antonis ; Prajna, Stephen

Author_Institution

Dept. of Eng. Sci., Univ. of Oxford, Oxford

Volume

54

Issue

5

fYear

2009

fDate

5/1/2009 12:00:00 AM

Firstpage

1035

Lastpage

1041

Abstract

We present a methodology for robust stability analysis of nonlinear hybrid systems, through the algorithmic construction of polynomial and piecewise polynomial Lyapunov-like functions using convex optimization and in particular the sum of squares decomposition of multivariate polynomials. Several improvements compared to previous approaches are discussed, such as treating in a unified way polynomial switching surfaces and robust stability analysis for nonlinear hybrid systems.

Keywords

Lyapunov methods; nonlinear systems; polynomials; stability; time-varying systems; convex optimization; multivariate polynomials; nonlinear hybrid systems; piecewise polynomial Lyapunov-like functions; robust stability analysis; sum of squares decomposition; switched systems; Algorithm design and analysis; Automatic control; Computational efficiency; Differential equations; Linear approximation; Linear matrix inequalities; Lyapunov method; Optimization methods; Performance evaluation; Polynomials; Robust stability; Robustness; Surface treatment; Switched systems; Switches; Testing; Hybrid systems; linear matrix inequality; sum of squares; switched systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2009.2017155

Filename

4908926