An algorithm to compute multipliers for repeated monotone nonlinearities

Author

Mancera, Ricardo ; Safonov, Michael G.

Author_Institution

Dept. of Electr. Eng., Southern California Univ., Los Angeles, CA, USA

Volume

4

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

4162

Abstract

A MIMO negative feedback interconnection of a discrete-time LTI system and a repeated time-invariant, monotone nonlinearity are considered. Kulkarni and Safonov (2001) derived the largest class of multipliers that can be used to show stability of such feedback systems. This paper demonstrates in a simple way that these multipliers can be computed efficiently from the solution of a linear matrix inequality (LMI). It is also shown how the structure of the problem can be exploited to reduce its complexity.

Keywords

MIMO systems; closed loop systems; control nonlinearities; discrete time systems; feedback; interconnected systems; linear matrix inequalities; stability; LMI; MIMO system; complexity; discrete time system; feedback systems; frequency-domain analysis; linear matrix inequality; monotone nonlinearities; multipliers; negative feedback interconnection; stability; time invariant system; Control systems; Design methodology; Large-scale systems; Linear matrix inequalities; Linear programming; MIMO; Negative feedback; Reliability theory; Stability; Windup;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1185022

Filename

1185022