Input Forces Estimation for Nonlinear Systems by Applying a Square-Root Cubature Kalman Filter
Abstract
:1. Introduction
2. Problem Formulation
2.1. Discretization of a Nonlinear System
2.2. Square-Root Cubature Kalman Filter [14,15]
2.2.1. Initialization
2.2.2. Time Update
2.2.3. Measurement Update
2.3. The Nonlinear Estimator
3. Numerical Simulations and Discussions
3.1. Simulation Model
3.2. Simulation Results
3.3. Discussions of the Simulations
4. Experiment and Results
4.1. Experimental Model and Measurement Principle
4.2. Experimental Procedure and Results
4.3. Discussions
5. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
Appendix A
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Force Type | Sinusoidal | Rectangular | Triangular | |||
---|---|---|---|---|---|---|
1 × | 1 × | 1 × | 1 × | 1 × | 1 × | |
Mean () | 9.61 | 1.72 | 60.1 | 50.1 | 25.5 | 16.4 |
RMSE (%) | 0.46 | 0.43 | 6.61 | 5.41 | 5.27 | 3.62 |
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Song, X.; Zhang, Y.; Liang, D. Input Forces Estimation for Nonlinear Systems by Applying a Square-Root Cubature Kalman Filter. Materials 2017, 10, 1162. https://doi.org/10.3390/ma10101162
Song X, Zhang Y, Liang D. Input Forces Estimation for Nonlinear Systems by Applying a Square-Root Cubature Kalman Filter. Materials. 2017; 10(10):1162. https://doi.org/10.3390/ma10101162
Chicago/Turabian StyleSong, Xuegang, Yuexin Zhang, and Dakai Liang. 2017. "Input Forces Estimation for Nonlinear Systems by Applying a Square-Root Cubature Kalman Filter" Materials 10, no. 10: 1162. https://doi.org/10.3390/ma10101162
APA StyleSong, X., Zhang, Y., & Liang, D. (2017). Input Forces Estimation for Nonlinear Systems by Applying a Square-Root Cubature Kalman Filter. Materials, 10(10), 1162. https://doi.org/10.3390/ma10101162