Control design for switched systems using passivity indices

Author

McCourt, M.J. ; Antsaklis, P.J.

Author_Institution

Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

2499

Lastpage

2504

Abstract

This paper presents a framework for control design of interconnected nonlinear switched systems using passivity and passivity indices. Background material is presented on the concept of passivity indices for continuously-varying systems. The passivity indices are then generalized to apply to switched systems to measure the level of passivity in a system. The main result of the paper shows how the indices can be compared between two systems in feedback to verify stability. It is explained how this theorem can be used as a control design tool for general nonlinear switched systems. An example is provided to demonstrate this design method. The connection between passivity indices and conic systems theory is summarized in the appendix.

Keywords

continuous systems; control system synthesis; feedback; interconnected systems; nonlinear control systems; stability; time-varying systems; conic systems theory; continuously-varying system; control system design; feedback; interconnected nonlinear switched system; passivity indices; stability; Control design; Control systems; Design methodology; Energy storage; Integrated circuit interconnections; Negative feedback; Orbital robotics; Stability; State-space methods; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531157

Filename

5531157