6533b852fe1ef96bd12ab4f6

RESEARCH PRODUCT

Stabilization of a class of slowly switched positive linear systems: State-feedback control

Lixian ZhangPeng ShiHamid Reza KarimiXudong Zhao

subject

Dwell timeClass (set theory)Property (programming)Control theoryLinear systemContext (language use)State (functional analysis)Stability (probability)Mathematics

description

The main goal of this paper is to investigate the stabilization problem for a class of switched positive linear systems (SPLS) with average dwell time (ADT) switching in continuous-time context. State-feedback controllers and the corresponding switching law with ADT property are designed, which stabilize the closed-loop systems while keeping the states nonnegative. The proposed conditions, formulated as linear matrix inequalities, can be directly used for controller synthesis and switching designing. Finally, a numerical example is given to demonstrate the validity of the obtained results.

yearjournalcountryeditionlanguage
2012-06-012012 American Control Conference (ACC)
https://doi.org/10.1109/acc.2012.6314872