Abstract
Inspired by multi-innovation stochastic gradient identification algorithm, a reconstructed multi-innovation stochastic gradient identification algorithm (RMISG) is presented to estimate the parameters of sandwich systems in this paper. Compared with the traditional multi-innovation stochastic gradient identification algorithm, the RMISG is constructed by using the multistep update principle which solves the multi-innovation length problem and improves the performance of the identification algorithm. To decrease the calculation burden of the RMISG, the key-term separation principle is introduced to deal with the identification model of sandwich systems. Finally, simulation example is given to validate the availability of the proposed estimator.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
F. Giri, E.W. Bai, Block-oriented nonlinear system identification, vol. 1 (Springer, 2010)
Y. Rochdi, F. Giri, J.B. Gning, F.Z. Chaoui, Identification of block-oriented systems in the presence of nonparametric input nonlinearities of switch and backlash types. Automatica 46(5), 864–877 (2010)
J. Vörös, Parametric identification of the Dahl model for large scale MR dampers. Struct. Control Health Monitor. 19(3), 332–347 (2012)
J. Vörös, Modeling and identification of nonlinear cascade and sandwich systems with general backlash. Struct. Control Health Monitor. 4(4), 282–290 (2010)
Y.M. Jia, Robust control with decoupling performance for steering and traction of 4WS vehicles under velocity-varying motion. IEEE Trans. Control Syst. Technol. 8(3), 554–569 (2000)
L.W. Li, X.M. Ren, Decomposition-based recursive least-squares parameter estimation algorithm for Wiener-Hammerstein systems with dead-zone nonlinearity. Int. J. Syst. Sci. 48(11), 2405–2414 (2017)
J. Vörös, Identification of cascade systems with backlash. Int. J. Control 83(6), 1117–1124 (2010)
Z.P. Zhou, Y.H. Tan, Y.Q. Xie, R.L. Dong, State estimation of a compound non-smooth sandwich system with backlash and dead zone. Mech. Syst. Signal Process. 83, 439–449 (2017)
Y.M. Jia, Alternative proofs for improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty: a predictive approach. IEEE Trans. Auto. Control 48(8), 1413–1416 (2003)
J. Vörös, Modeling and identification of systems with backlash. Automatica 46(2), 369–374 (2010)
M. Schoukens, R. Pintelon, Y. Rolain, Identification of Wiener-Hammerstein systems by a nonparametric separation of the best linear approximation. Automatica 50(2), 628–634 (2014)
Y. Tan, R. Dong, R. Li, Recursive identification of sandwich systems with dead zone and application. IEEE Trans. Control Syst. Technol. 17(4), 945–951 (2009)
Y. Wang, F. Ding, The auxiliary model based hierarchical gradient algorithms and convergence analysis using the filtering technique. Signal Process. 128, 212–221 (2016)
F. Ding, Coupled-least-squares identification for multivariable systems. IET Control Theory Appl. 7(1), 68–79 (2013)
Q. Jin, Z. Wang, X. Liu, Auxiliary model-based interval-varying multi-innovation least squares identification for multivariable OE-like systems with scarce measurements. J. Process Control 35, 154–168 (2015)
V. Cerone, D. Regruto, Bounding the parameters of linear systems with input backlash. IEEE Trans. Auto. Control 52(3), 531–536 (2007)
Z.Y. Wang, Y. Wang, Z.C. Ji, Filtering based multi-innovation extended stochastic gradient algorithm for Hammerstein nonlinear system modeling. Appl. Math. Model. 39(18), 5724–5732 (2015)
Acknowledgements
This paper is supported by the National Natural Science Foundation of China (No. 61433003, 61273150 and 61321002.), and Shandong Natural Science Foundation of China (ZR2017MF048), Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents (2016RCJJ035), Tai’an Science and Technology development program (2017GX0017).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Li, L., Ren, X., Lv, Y. (2019). Reconstructed Multi-innovation Gradient Algorithm for the Identification of Sandwich Systems. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2018 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 528. Springer, Singapore. https://doi.org/10.1007/978-981-13-2288-4_30
Download citation
DOI: https://doi.org/10.1007/978-981-13-2288-4_30
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-2287-7
Online ISBN: 978-981-13-2288-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)