A general state-space method for modelling piecewise linear systems

Author

Broughton, M.B.

Author_Institution

Dept. of Electr. & Comput. Eng., R. Mil. Coll. of Canada, Kingston, Ont.

fYear

1991

fDate

14-17 May 1991

Firstpage

529

Abstract

To manage the movement of the state vector among the various linear subsystems comprising a piecewise linear system, the author introduces a decision vector d which is a linear combination D of the state components, configured so that the transition of d through zero is essential to the transfer of the state to the next feasible subsystem. Boolean (0/1) vectors associated with the polarity of d and a Boolean mask matrix implement the logical operations controlling the selection of the next subsystem. Following the development of a simulation model based on the concepts described, a computer program for solving it is given. An illustration from the field of power-electronic circuits is presented

Keywords

Boolean algebra; circuit analysis computing; matrix algebra; nonlinear network analysis; piecewise-linear techniques; state-space methods; Boolean mask matrix; computer program; decision vector; modelling; piecewise linear systems; power-electronic circuits; simulation model; state-space method; Context modeling; Equations; Instruments; Piecewise linear techniques; State-space methods; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on

Conference_Location

Monterey, CA

Print_ISBN

0-7803-0620-1

Type

conf

DOI

10.1109/MWSCAS.1991.252107

Filename

252107