Title :
Hyperbolic approach to fuzzy control is optimal
Author :
Nguyen, Hung T. ; Kreinovich, Vladik ; Margaliot, Michael ; Langholtz, Gideon
Author_Institution :
Math., New Mexico State Univ., Las Cruces, NM, USA
Abstract :
In a series of papers and a book, Margaliot and Langholz (1999, 2000) proposed a hyperbolic approach to fuzzy control, in which they apply a certain hyperbolic non-linear transformation to the original variables. We consider all possible nonlinear transformations of this type and show that this hyperbolic transformation is indeed optimal.
Keywords :
differential equations; fuzzy control; nonlinear control systems; optimal control; fuzzy control; hyperbolic approach; hyperbolic nonlinear transformation; nonlinear control; Books; Computer science; Control systems; Differential equations; Fuzzy control; Linear systems; Mathematics; Nonlinear equations; Optimal control; Taylor series;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1009098