Design of optimally bounded linear state feedback laws for fuzzy dynamical systems

Author

Diamond, Phil

Author_Institution

Dept. of Math., Queensland Univ., Brisbane, Qld., Australia

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

147

Lastpage

150

Abstract

The paper addresses controller design for single input time-independent continuous-time linear systems with fuzzy set coefficients, to achieve minimally bounded system states. A scalar linear state feedback law, U(t)=K(t)X(t) is derived, where K(t) is fuzzy. The approach is based on formulating the system as a family of differential inclusions on level sets and applying set-theoretical formalism to the inclusions. The one-dimensional state case is treated in detail and the extension to multidimensional systems is outlined

Keywords

control system synthesis; fuzzy control; fuzzy set theory; linear systems; optimal control; state feedback; 1D state case; controller design; differential inclusions; fuzzy dynamical systems; fuzzy set coefficients; level sets; minimally bounded system states; multidimensional systems; optimally bounded linear state feedback law design; scalar linear state feedback law; set-theoretical formalism; single-input time-independent continuous-time linear systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Level set; Linear systems; Mathematical model; Mathematics; Multidimensional systems; State feedback; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2001. The 10th IEEE International Conference on

Conference_Location

Melbourne, Vic.

Print_ISBN

0-7803-7293-X

Type

conf

DOI

10.1109/FUZZ.2001.1007268

Filename

1007268