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LTV controller flatness-based design for MIMO systems

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Academic year: 2021

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Figure

Fig. 1 Desired trajectories of the two flat outputs z 1d (t ) and z 2d (t )A  set  of  flat  outputs  for  (47)  can  be  easily  found  as
Fig. 2 Desired trajectories of the radial and tangential thrust forces, u 1d (t ) and u 2d (t ) δ ˙x 1 (t ) = δx 2 (t ) δ ˙x 2 (t ) = 8 x 3d2 + 2 k x 1d3 9 δx 1 (t ) + (2x 1d x 3d ) δx 3 (t ) + δu 1 (t ) m δ ˙x 3 (t ) = 8 − 2u 2d mx 1d3 + 2x 2d x 3dx1d2 9
Fig. 4 Outputs of the nonlinear system y 1 (t ) and y 2 (t )
Fig. 7 Tracking errors of the two outputs of the nonlinear system

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