“…Gaussian function is used as a based fuzzy membership function, where the fuzzy input makes up with posture tracking errors and control inputs, m = z 1 T , z 2 T , u T Â Ã T . Under the gravity, the desired tracking trajectory of the suspension platform along the x-direction is given as x p t ð Þ = g EA 1 4 m p l t ð Þ À (3) Adaptive fuzzy sliding mode control (Yuzheng and PengYung, 2003) is applied to calculate each element of the control gain (Sliding mode control for short in figures) with l a =diag([5 3 10 3 ,10,10,3 3 10 3 , 3 3 10 3 ,10 3 ]) and A a =diag ([5.5 3 10 3 ,11,11,3.3 spatiotemporal longitudinal responses of the suspension cable, floating sheave displacement, upper-lower boundary cable tensions, posture tracking results and control input, respectively. The spatiotemporal longitudinal responses of the 1-th suspension cable without platform disturbance given for simplification in different cases are shown in Figures 6-7.…”