Research Article

Iterative Smooth Variable Structure Filter for Parameter Estimation

Table 4

Comparison between the IBSS/KF and the IBSS/SVSF.

IBSS-KFIBSS-SVSF

Computation time539.17 sec42.8 sec
Position R M S E 1 . 1 6 × 1 0 5 5 . 2 3 × 1 0 1 0
Velocity R M S E 2 . 5 × 1 0 8 2 . 8 × 1 0 9
Acceleration R M S E 6 . 1 6 × 1 0 6 8 . 9 2 × 1 0 7
Damping ratio R M S E 4 . 1 × 1 0 6 1 . 5 × 1 0 6
Natural frequency R M S E 2 × 1 0 2 1 . 2 × 1 0 3
Gain R M S E 3 . 4 5 × 1 0 3 1 . 8 6 × 1 0 4
Position M a x E r r o r 1.3 1 × 1 0 6
Velocity M a x E r r o r 3 . 8 × 1 0 3 5 . 5 × 1 0 6
Acceleration M a x E r r o r 5 . 8 × 1 0 1 1 . 6 × 1 0 3
Damping ratio M a x E r r o r 2 × 1 0 2 2 × 1 0 2
Natural frequency M a x E r r o r 100.26 99.97
Gain M a x E r r o r 17.42 17.45
Position V a r E r r o r 3 . 7 × 1 0 5 7 . 5 × 1 0 1 4
Velocity V a r E r r o r 1 . 7 2 × 1 0 1 0 2 . 1 5 × 1 0 1 2
Acceleration V a r E r r o r 1 . 0 4 × 1 0 5 2 . 1 6 × 1 0 7
Damping ratio 4 . 7 × 1 0 6 5 . 9 × 1 0 7
Natural frequency V a r E r r o r 109 4 . 5 × 1 0 1
Gain V a r E r r o r 3.27 9 . 4 × 1 0 3
Identify the change in the parametersNoYes
Computation complexityComplexSimple
Memory neededLargeLow
Segment lengthEffectsNo-Effects