A high accuracy modeling scheme for dynamic systems: spacecraft reaction wheel model

Journal of Engineering and Applied Science

Table 4 AGPSO coefficients updating strategies

Group	c₁	c₂
Group 1	$ 1.95-2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.} $	$ 2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}+0.05 $
Group 2	(−2t³/T³) + 2.5	(2t³/T³) + 0.5
Group 3	$ 1.95-2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.} $	(2t³/T³) + 0.5
Group 4	(−2t³/T³) + 2.5	$ 2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}+0.05 $

Group	c₁	c₂
Group 1	\( 1.95-2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.} \)	\( 2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}+0.05 \)
Group 2	(−2t³/T³) + 2.5	(2t³/T³) + 0.5
Group 3	\( 1.95-2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.} \)	(2t³/T³) + 0.5
Group 4	(−2t³/T³) + 2.5	\( 2{t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}/{T}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}+0.05 \)