Open Access
2015 Enhanced Dynamic Model of Pneumatic Muscle Actuator with Elman Neural Network
Alexander Hošovský, Ján Piteľ, Kamil Židek
Abstr. Appl. Anal. 2015: 1-16 (2015). DOI: 10.1155/2015/906126
Abstract

To make effective use of model-based control system design techniques, one needs a good model which captures system’s dynamic properties in the range of interest. Here an analytical model of pneumatic muscle actuator with two pneumatic artificial muscles driving a rotational joint is developed. Use of analytical model makes it possible to retain the physical interpretation of the model and the model is validated using open-loop responses. Since it was considered important to design a robust controller based on this model, the effect of changed moment of inertia (as a representation of uncertain parameter) was taken into account and compared with nominal case. To improve the accuracy of the model, these effects are treated as a disturbance modeled using the recurrent (Elman) neural network. Recurrent neural network was preferred over feedforward type due to its better long-term prediction capabilities well suited for simulation use of the model. The results confirm that this method improves the model performance (tested for five of the measured variables: joint angle, muscle pressures, and muscle forces) while retaining its physical interpretation.

References

1.

E. Kelasidi, G. Andrikopoulos, G. Nikolakopoulos, and S. Manesis, “A survey on pneumatic muscle actuators modeling,” Journal of Energy and Power Engineering, vol. 6, no. 9, pp. 1442–1452, 2012. E. Kelasidi, G. Andrikopoulos, G. Nikolakopoulos, and S. Manesis, “A survey on pneumatic muscle actuators modeling,” Journal of Energy and Power Engineering, vol. 6, no. 9, pp. 1442–1452, 2012.

2.

S. Davis, N. Tsagarakis, J. Canderle, and D. G. Caldwell, “Enhanced modelling and performance in braided pneumatic muscle actuators,” International Journal of Robotics Research, vol. 22, no. 3-4, pp. 213–227, 2003. S. Davis, N. Tsagarakis, J. Canderle, and D. G. Caldwell, “Enhanced modelling and performance in braided pneumatic muscle actuators,” International Journal of Robotics Research, vol. 22, no. 3-4, pp. 213–227, 2003.

3.

S. Davis and D. G. Caldwell, “Braid effects on contractile rangeand friction modeling in pneumatic muscle actuators,” International Journal of Robotics Research, vol. 25, no. 4, pp. 359–369, 2006. S. Davis and D. G. Caldwell, “Braid effects on contractile rangeand friction modeling in pneumatic muscle actuators,” International Journal of Robotics Research, vol. 25, no. 4, pp. 359–369, 2006.

4.

M. Doumit, A. Fahim, and M. Munro, “Analytical modeling and experimental validation of the braided pneumatic muscle,” IEEE Transactions on Robotics, vol. 25, no. 6, pp. 1282–1291, 2009. M. Doumit, A. Fahim, and M. Munro, “Analytical modeling and experimental validation of the braided pneumatic muscle,” IEEE Transactions on Robotics, vol. 25, no. 6, pp. 1282–1291, 2009.

5.

J. L. Serres, Dynamic Characterization of a Pneumatic Muscle Actuator and Its Application to a Resistive Training Device, Wright State University, Dayton, Ohio, USA, 2009. J. L. Serres, Dynamic Characterization of a Pneumatic Muscle Actuator and Its Application to a Resistive Training Device, Wright State University, Dayton, Ohio, USA, 2009.

6.

T. Kerscher, J. Albiez, J. M. Zöllner, and R. Dillmann, “Evaluation of the dynamic model of fluidic muscles using quick-release,” in Proceedings of the International Conference on Biomedical Robotics and Biomechatronics, pp. 637–642, Pisa, Italy, February 2006. T. Kerscher, J. Albiez, J. M. Zöllner, and R. Dillmann, “Evaluation of the dynamic model of fluidic muscles using quick-release,” in Proceedings of the International Conference on Biomedical Robotics and Biomechatronics, pp. 637–642, Pisa, Italy, February 2006.

7.

K. C. Wickramatunge and T. Leephakpreeda, “Empirical modeling of pneumatic artificial muscle,” in Proceedings of the International Multi Conference of Engineers and Computer Scientists, pp. 1726–1730, Hong Kong, 2009. K. C. Wickramatunge and T. Leephakpreeda, “Empirical modeling of pneumatic artificial muscle,” in Proceedings of the International Multi Conference of Engineers and Computer Scientists, pp. 1726–1730, Hong Kong, 2009.

8.

K. C. Wickramatunge and T. Leephakpreeda, “Study on mechanical behaviors of pneumatic artificial muscle,” International Journal of Engineering Science, vol. 48, no. 2, pp. 188–198, 2010. K. C. Wickramatunge and T. Leephakpreeda, “Study on mechanical behaviors of pneumatic artificial muscle,” International Journal of Engineering Science, vol. 48, no. 2, pp. 188–198, 2010.

9.

A. Hildebrandt, O. Sawodny, R. Neumann, and A. Hartmann, “Cascaded control concept of a robot with two degrees of freedom driven by four artificial pneumatic muscle actuators,” in Proceedings of the American Control Conference, vol. 1, pp. 680–685, IEEE, Portland, Ore, USA, June 2005. A. Hildebrandt, O. Sawodny, R. Neumann, and A. Hartmann, “Cascaded control concept of a robot with two degrees of freedom driven by four artificial pneumatic muscle actuators,” in Proceedings of the American Control Conference, vol. 1, pp. 680–685, IEEE, Portland, Ore, USA, June 2005.

10.

F. Schreiber, Y. Sklyarenko, G. Runge, and W. Schumacher, “Model-based controller design for antagonistic pairs of fluidic muscles in manipulator motion control,” in Proceedings of the 17th International Conference on Methods and Models in Automation and Robotics (MMAR '12), pp. 499–504, Miedzyzdrojie, Poland, August 2012. F. Schreiber, Y. Sklyarenko, G. Runge, and W. Schumacher, “Model-based controller design for antagonistic pairs of fluidic muscles in manipulator motion control,” in Proceedings of the 17th International Conference on Methods and Models in Automation and Robotics (MMAR '12), pp. 499–504, Miedzyzdrojie, Poland, August 2012.

11.

S. V. Krichel, O. Sawodny, and A. Hildebrandt, “Tracking control of a pneumatic muscle actuator using one servovalve,” inProceedings of the American Control Conference (ACC '10), pp. 4385–4390, Baltimore, Md, USA, July 2010. S. V. Krichel, O. Sawodny, and A. Hildebrandt, “Tracking control of a pneumatic muscle actuator using one servovalve,” inProceedings of the American Control Conference (ACC '10), pp. 4385–4390, Baltimore, Md, USA, July 2010.

12.

J. Zhong, J. Fan, Y. Zhu, J. Zhao, and W. Zhai, “One nonlinear pid control to improve the control performance of a manipulator actuated by a pneumatic muscle actuator,” Advances in Mechanical Engineering, vol. 2014, Article ID 172782, 19 pages, 2014. J. Zhong, J. Fan, Y. Zhu, J. Zhao, and W. Zhai, “One nonlinear pid control to improve the control performance of a manipulator actuated by a pneumatic muscle actuator,” Advances in Mechanical Engineering, vol. 2014, Article ID 172782, 19 pages, 2014.

13.

A. Hošovský and M. Havran, “Dynamic modeling of one degree of freedom pneumatic muscle-based actuator for industrial applications,” Tehnicki Vjesnik, vol. 19, no. 3, pp. 673–681, 2012. A. Hošovský and M. Havran, “Dynamic modeling of one degree of freedom pneumatic muscle-based actuator for industrial applications,” Tehnicki Vjesnik, vol. 19, no. 3, pp. 673–681, 2012.

14.

M. Balara and M. Tóthová, “Static and dynamic properties of the pneumatic actuator with artificial muscles,” in Proceedings ofthe IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics (SISY '12), pp. 577–581, Subotica, Serbia, September 2012. M. Balara and M. Tóthová, “Static and dynamic properties of the pneumatic actuator with artificial muscles,” in Proceedings ofthe IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics (SISY '12), pp. 577–581, Subotica, Serbia, September 2012.

15.

M. Tóthová, J. Pitel', and J. Boržíková, “Operating modes of pneumatic artificial muscle actuator,” Applied Mechanics and Materials, vol. 308, pp. 39–44, 2013. M. Tóthová, J. Pitel', and J. Boržíková, “Operating modes of pneumatic artificial muscle actuator,” Applied Mechanics and Materials, vol. 308, pp. 39–44, 2013.

16.

A. Hošovský, J. N. Marcinčin, J. Pitel', J. Boržíková, and K. Židek, “Model-based evolution of a fast hybrid fuzzy adaptive controller for a pneumatic muscle actuator,” International Journal of Advanced Robotic Systems, vol. 9, no. 56, pp. 1–11, 2012. A. Hošovský, J. N. Marcinčin, J. Pitel', J. Boržíková, and K. Židek, “Model-based evolution of a fast hybrid fuzzy adaptive controller for a pneumatic muscle actuator,” International Journal of Advanced Robotic Systems, vol. 9, no. 56, pp. 1–11, 2012.

17.

A. Macurova and S. Hrehova, “Some properties of the pneumatic artificial muscle expressed by the nonlinear differential equation,” Advanced Materials Research, vol. 658, pp. 376–379, 2013. A. Macurova and S. Hrehova, “Some properties of the pneumatic artificial muscle expressed by the nonlinear differential equation,” Advanced Materials Research, vol. 658, pp. 376–379, 2013.

18.

FESTO Fluidic Muscle DMSP/MAS datasheet, 2008, http:// www.festo.com/rep/en_corp/assets/pdf/info_501_en.pdf. FESTO Fluidic Muscle DMSP/MAS datasheet, 2008, http:// www.festo.com/rep/en_corp/assets/pdf/info_501_en.pdf.

19.

P. Beater, Pneumatic Drives: System Design, Modelling and Control, Springer, New York, NY, USA, 2007. P. Beater, Pneumatic Drives: System Design, Modelling and Control, Springer, New York, NY, USA, 2007.

20.

S. H. Zak, Systems and Control, Oxford University Press, New York, NY, USA, 2003. S. H. Zak, Systems and Control, Oxford University Press, New York, NY, USA, 2003.

21.

F. L. Lewis, D. M. Dawson, and C. T. Abdallah, Robot Motion and Control, Marcel Dekker, New York, NY, USA, 2nd edition, 2004. F. L. Lewis, D. M. Dawson, and C. T. Abdallah, Robot Motion and Control, Marcel Dekker, New York, NY, USA, 2nd edition, 2004.

22.

Hyperphysics–-calculation of moments of inertia, http:// hyperphysics.phy-astr.gsu.edu/hbase/mi.html. Hyperphysics–-calculation of moments of inertia, http:// hyperphysics.phy-astr.gsu.edu/hbase/mi.html.

23.

R. N. Jazar, Theory of Applied Robotics, Springer, New York, NY, USA, 2nd edition, 2010. MR2380922 1205.70001 R. N. Jazar, Theory of Applied Robotics, Springer, New York, NY, USA, 2nd edition, 2010. MR2380922 1205.70001

24.

S. Samarasinghe, Neural Networks for Applied Sciences and Engineering, Auerbach Publications, Boca Raton, Fla, USA, 1st edition, 2006. 1119.68161 S. Samarasinghe, Neural Networks for Applied Sciences and Engineering, Auerbach Publications, Boca Raton, Fla, USA, 1st edition, 2006. 1119.68161

25.

S. Haykin, Neural Networks–-A Comprehensive Foundation, Pearson Prentice Hall, Delhi, India, 2nd edition, 2005. 0828.68103 S. Haykin, Neural Networks–-A Comprehensive Foundation, Pearson Prentice Hall, Delhi, India, 2nd edition, 2005. 0828.68103

26.

J.-S. R. Jang, C.-T. Sun, and E. Mizutani, Neuro-Fuzzy and SoftComputing–-A Computational Approach to Learning and Machine Intelligence, Prentice Hall, Upper Saddle River, NJ, USA, 1st edition, 1997. J.-S. R. Jang, C.-T. Sun, and E. Mizutani, Neuro-Fuzzy and SoftComputing–-A Computational Approach to Learning and Machine Intelligence, Prentice Hall, Upper Saddle River, NJ, USA, 1st edition, 1997.

27.

B. H. Demuth, M. Beale, and M. T. Hagan, Neural Network Design, PWS Publishing, Boston, Mass, USA, 1st edition, 1996. \endinput B. H. Demuth, M. Beale, and M. T. Hagan, Neural Network Design, PWS Publishing, Boston, Mass, USA, 1st edition, 1996. \endinput
Copyright © 2015 Hindawi
Alexander Hošovský, Ján Piteľ, and Kamil Židek "Enhanced Dynamic Model of Pneumatic Muscle Actuator with Elman Neural Network," Abstract and Applied Analysis 2015(none), 1-16, (2015). https://doi.org/10.1155/2015/906126
Published: 2015
Vol.2015 • 2015
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