Supervisory control of bi-fuzzy discrete event systems under partial observations

Author

Weilin Deng ; Daowen Qiu

Author_Institution

Dept. of Comput. Sci., Sun Yat-sen Univ., Guangzhou, China

fYear

2014

fDate

28-30 July 2014

Firstpage

4429

Lastpage

4434

Abstract

Fuzzy discrete event systems (FDESs) have been proposed based on type-1 fuzzy sets (T1 FSs) theory. However, for some cases, T1 FSs have limited capabilities to handle data uncertainties directly. Hence, FDESs might not be satisfactory models to characterize some high-uncertainty DESs. In order to characterize high-uncertainty DESs precisely, in this paper, we present a new model, called as bi-fuzzy discrete event systems (BFDESs), by combining DESs theory with type-2 fuzzy sets (T2 FSs) theory. Then, we consider the supervisory control problem of BFDESs under partial observations, and thus obtain the necessary and sufficient conditions for the existence of bi-fuzzy supervisors. In addition, we present a method to check the conditions.

Keywords

discrete event systems; fuzzy control; FDES; T1 FS theory; bifuzzy discrete event systems; data uncertainties; discrete event systems; partial observations; supervisory control problem; type-1 fuzzy set theory; Controllability; Discrete-event systems; Frequency selective surfaces; Fuzzy sets; Observability; Supervisory control; Uncertainty; bi-fuzzy controllability; bi-fuzzy discrete event systems (BFDESs); bi-fuzzy finite automata; bi-fuzzy observability; supervisory control; type-2 fuzzy sets (T2 FSs);

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895682

Filename

6895682