Sliding mode control using state/output feedback in hybrid systems

Author

Akar, Mehmet ; Özguner, Ümit

Author_Institution

Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA

Volume

3

fYear

1998

fDate

1998

Firstpage

2421

Abstract

This paper presents sliding mode control using state/output feedback for linear hybrid systems. The sliding manifold is taken to be part of the switching hyperplane of the hybrid system and the conditions for the existence of sliding modes and for the stability of motion equation are formulated in the form of trilinear matrix inequalities (TMI). Observing that these TMI accept a special form, we are able to propose an algorithm that can use the existing software for the solution of linear matrix inequalities (LMI) to solve for the desired feedback gains. The concept is illustrated with an example

Keywords

linear systems; matrix algebra; stability criteria; state feedback; variable structure systems; LMI; TMI; linear hybrid systems; linear matrix inequalities; motion stability conditions; output feedback; sliding mode control; state feedback; switching hyperplane; trilinear matrix inequalities; Continuous time systems; Difference equations; Discrete event systems; Ear; Linear matrix inequalities; Output feedback; Sliding mode control; Software algorithms; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.757769

Filename

757769