Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Data fusion based improved HOSM observer for smart structure control

  • Arunshankar, J. (Department of Instrumentation and Control Systems Engineering, PSG College of Technology)
  • Received : 2017.02.07
  • Accepted : 2019.04.04
  • Published : 2019.08.25
⟨ Previous Next ⟩

Abstract

The benefit of data fusion in improving the performance of Higher Order Sliding Mode (HOSM) observer is brought out in this paper. This improvement in the performance of HOSM observer, resulted in the improvement of active vibration control of a piezo actuated structure, when controlled by a Discrete Sliding Mode Controller (DSMC). The structure is embedded with two piezo sensors for measuring the first two vibrating modes. The fused output of sensors is applied to the HOSM observer for generating state estimates, these states generated are applied to the DSMC, designed for the fourth order linear time invariant model of the structure. In the simulation study, the structure is excited at the first and second mode resonance. It is found that better vibration suppression is obtained, when the states generated by the fused output of sensors is applied as controller input, than the vibration suppression obtained by applying the states generated by using individual sensor output. The closed loop performance of DSMC obtained with HOSM observer is compared with the closed loop performance obtained with the conventional observer. Results obtained shows that better vibration suppression is obtained when the states generated by HOSM observer is applied as controller input.

Keywords

References

  1. Arunshankar, J., Umapathy, M. and Ezhilarasi, D. (2011), "Design and implementation of sliding mode controller with multisensor data fusion for the control of a piezo actuated structure", Defense. Sci. J., 61(4), 346-353. https://doi.org/10.14429/dsj.61.1114
  2. Arunshankar, J., Umapathy, M. and Bandhopadhyay, B. (2013), "Experimental evaluation of discrete sliding mode controller for piezo actuated structure with multisensor data fusion", Smart. Struct. Syst., 11(6), 569-587. http://dx.doi.org/10.12989/sss.2013.11.6.569.
  3. Arunshankar, J. and Umapathy, M. (2015), "Simultaneous stabilization of piezo actuated structures using fast output sampling control involving data fusion", J. Vib. Eng. Technol., 3(4), 369-382.
  4. Arunshankar, J. and Umapathy, M. (2012), "Control of a piezo actuated structure using robust loop shaping controller with GPC based precompensator involving data fusion", Int. J. Imag. Robot, 8(2), 85-100. https://doi.org/10.1002/rcs.440
  5. Bierman, G. and Belzer, M. (1985), "A decentralized square root information filter / smoother", Proceedings of the 24th IEEE Conference on Decision and Control, Florida, USA.
  6. Capisani, L.M., Ferrara, A., Ferreira de Loza, A. and Fridman, L. M. (2012), "Manipulator fault diagnosis via higher order sliding-mode observers", IEEE T. Ind. Electron., 59(10), 3979-3986. DOI: 10.1109/TIE.2012.2189534.
  7. Chalanga, A., Kamal, S., Fridman, L.M., Bandyopadhyay, B. and Moreno, J.A. (2016), "Implementation of super twisting control: super twisting and higher order sliding mode observer-based approaches", IEEE T. Ind. Electron., 63(6), 3677-3684. DOI: 10.1109/TIE.2016.2523913.
  8. Edwards, C., Spurgeon, S.K. and Patton, R.J. (2000), "Sliding mode observers for fault detection and isolation", Automatica, 36(4), 541-553. https://doi.org/10.1016/S0005-1098(99)00177-6.
  9. Fisco, N.R. and Adeli, H. (2011), "Smart structures: Part I - active and semi-active control", Scientia Iranica A, 18(3), 275-284. https://doi.org/10.1016/j.scient.2011.05.034.
  10. Fridman, L. and Levant, A. (2002), Sliding Mode Control in Engineering, Marcel Dekker, USA.
  11. Gan, Q. and Harris, C. (2001), "Comparison of two measurement fusion methods for Kalman filter based multi sensor data fusion", IEEE T. Aerosp. Electron. Syst., 37(1), 273-279. DOI:10.1109/7.913685.
  12. Gao, W., Wang, Y. and Homaifa, A. (1995), "Discrete-time variable structure control systems", IEEE T. Ind. Electron., 42(2), 117-122. DOI: 10.1109/41.370376.
  13. Hassani, F.A., Payam, A.F. and Fathipour, M. (2010), "Design of a smart MEMS accelerometer using nonlinear control principles", Smart. Struct. Syst., 6(1), 1-16. http://dx.doi.org/10.12989/sss.2010.6.1.001.
  14. Husek, P. (2016), "Adaptive sliding mode control with moving sliding surface", Appl. Soft. Comput., 42, 178-183. https://doi.org/10.1016/j.asoc.2016.01.009.
  15. Hurlebaus, S. and Gaul, L. (2006), "Smart structure dynamics," Mech. Syst. Signal. Pr., 20(2), 255-281. https://doi.org/10.1016/j.ymssp.2005.08.025.
  16. Khan, M.K., Spurgeon, S.K. and Levant, A. (2003), "Simple output-feedback 2-sliding controller for systems of relative degree two", Proceedings of the European Control Conference, Cambridge, UK.
  17. Kim, K., Choi, J., Koo, G. and Sohn, H. (2016), "Dynamic displacement estimation by fusing biased high-sampling rate acceleration and low-sampling rate displacement measurements using two-stage Kalman estimator", Smart. Struct. Syst., 17(4), 647-667. http://dx.doi.org/10.12989/sss.2016.17.4.647.
  18. Kim, B., Washington, G.N. and Yoon, H.S. (2013), "Active vibration suppression of a 1D piezoelectric bimorph structure using model predictive sliding mode control", Smart. Struct. Syst., 11(6), 623-635. http://dx.doi.org/10.12989/sss.2013.11.6.623.
  19. Lei, Y., Luo, S. and Su, Y. (2016), "Data fusion based improved Kalman filter with unknown inputs and without collocated acceleration measurements", Smart. Struct. Syst., 18(3), 375-387. http://dx.doi.org/10.12989/sss.2016.18.3.375.
  20. Li, L., Song, G. and Ou, J. (2013), "A nonlinear structural experiment platform with adjustable plastic hinges: analysis and vibration control", Smart. Struct. Syst., 11(3), 315-329. http://dx.doi.org/10.12989/sss.2013.11.3.315.
  21. Liu, L., Zhu, J., Su, Y. and Lei, Y. (2016), "Improved Kalman filter with unknown inputs based on data fusion of partial acceleration and displacement measurements", Smart. Struct. Syst., 17(6), 903-915. http://dx.doi.org/10.12989/sss.2016.17.6.903.
  22. Martin Liggins II, David Hall and James Llinas. (2008), Handbook of multisensor data fusion: theory and practice, (2nd Ed.), CRC Press, USA.
  23. Mutambara, A.G.O. (1998), Decentralized Estimation and Control for Multisensor Systems, CRC Press, USA.
  24. Nguyen, T., Su, W.C., Gajic, Z. and Edwards. C. (2016), "Higher accuracy output feedback sliding mode control of sampled data systems", IEEE T. Ind. Electron., 63(10), 3177-3182. DOI: 10.1109/TAC.2015.2505303
  25. Palanisamy, R.P., Cho, S., Kim, H. and Sim, S.H. (2015), "Experimental validation of Kalman filter-based strain estimation in structures subjected to non-zero mean input", Smart. Struct. Syst., 15 (2), 489-503. http://dx.doi.org/10.12989/sss.2015.15.2.489.
  26. Perruquetti, W. and Barbot, J. P. (2002), Sliding Mode Control in Engineering, Marcel Dekker, USA.
  27. Pisano, A. and Usai, E. (2011), "Sliding mode control: a survey with applications in math", Math. Comput. Simulat., 81(5), 954-979. https://doi.org/10.1016/j.matcom.2010.10.003.
  28. Roecker, J.A. and McGillem, C.D. (1998), "Comparison of twosensor tracking methods based on state vector fusion and measurement fusion", IEEE T. Aerosp. Electron. Syst., 24(4), 447-449. DOI: 10.1109/7.7186.
  29. Rolink, M., Boukhobza, T. and Sauter, D. (2006), "High order sliding mode observer for fault actuator estimation and its application to the three tanks benchmark", Workshop on Advanced Control and Diagnosis, Nancy, France.
  30. Utkin, V.I. (1992), Sliding Modes in Control and Optimization, Springer-Verlag, Germany.
  31. Wang, H., Man, Z., Kong, H., Zhao, Y., Yu, M., Cao, Z., Zheng, J. and Do, M.T. (2016), "Design and implementation of adaptive terminal sliding mode control on a steer-by-wire equipped road vehicle", IEEE T. Ind. Electron., 63(9), 5774-5785. DOI:10.1109/TIE.2016.2573239.
  32. Xu, Q. (2017), "Precision motion control of piezoelectric nanopositioning stage with chattering free adaptive sliding mode control", IEEE T. Autom. Sci. Eng., 14(1), 238-248. DOI:10.1109/TASE.2016.2575845.
  33. Xu, R. and Zhou, M. (2017), "Sliding mode control with sigmoid function for the motion tracking control of the piezo actuated stages", Electron. Lett., 53(2), 75-77. DOI: 10.1049/el.2016.3558.
  34. Zhang, J., Liu, X., Xia, Y., Zuo, Z. and Wang, Y. (2016), "Disturbance observer based integral sliding mode control for systems with mismatched disturbances", IEEE T. Ind. Electron., 63(11), 7040-7048. DOI: 10.1109/TIE.2016.2583999.
  35. Zhao, L., Huang, J., Liu, H., Li, B. and Kong, W. (2014), "Second order sliding-mode observer with online parameter identification for sensorless induction motor drives", IEEE Trans. Ind. Electron., 61(10), 5280-5289. DOI: 10.1109/TIE.2014.2301730.