Analysis of oscillation and stability for systems with piecewise linear components via saturation functions

Author

Hu, Tingshu ; Thibodeau, Thomas ; Teel, Andrew R.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Massachusetts, Lowell, MA, USA

fYear

2009

fDate

10-12 June 2009

Firstpage

1911

Lastpage

1916

Abstract

This paper develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear components. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced oscillations are easily adapted to global or regional stability analysis.

Keywords

Lyapunov methods; linear matrix inequalities; nonlinear systems; optimisation; oscillations; piecewise linear techniques; stability; linear matrix inequality based optimization; nonlinear system; oscillation analysis; piecewise linear components; piecewise quadratic Lyapunov function; saturation functions; self-induced oscillation; self-induced oscillations; stability analysis; Chaos; Circuits; Control systems; Level set; Limit-cycles; Lyapunov method; Nonlinear systems; Piecewise linear approximation; Piecewise linear techniques; Stability analysis; Self-induced oscillation; invariant set; piecewise linear systems; piecewise quadratic function; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2009. ACC '09.

Conference_Location

St. Louis, MO

ISSN

0743-1619

Print_ISBN

978-1-4244-4523-3

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2009.5160519

Filename

5160519