Stability analysis of discontinuous nonlinear systems via piecewise linear Lyapunov functions

Author

Ohta, Yuzo ; Wada, Teruyo ; Siljak, Dragoslav D.

Author_Institution

Kobe Univ., Japan

Volume

6

fYear

2001

fDate

2001

Firstpage

4852

Abstract

The purpose of this paper is to present a stability analysis of discontinuous nonlinear systems using piecewise linear Lyapunov functions (PWLLF). The functions are parametrized by hyperplanes, which intersect the stability region, and stability conditions are formulated as linear programming problems (LP) in terms of the parameters inserted by the hyperplanes. An interesting feature of the analysis is that it can include the uncertainty caused by time delays which are inherent in switching devices controlling the system. A few examples are used to illustrate the obtained results

Keywords

Lyapunov methods; control system analysis; delays; linear programming; nonlinear control systems; optimal control; piecewise linear techniques; stability criteria; LP; PWLLF; discontinuous nonlinear systems; hyperplanes; linear programming problems; piecewise linear Lyapunov functions; stability analysis; stability conditions; stability region; time delays; Control systems; Delay effects; Geometry; Linear matrix inequalities; Linear programming; Lyapunov method; Nonlinear systems; Piecewise linear techniques; Stability analysis; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.945751

Filename

945751