1. bookVolume 62 (2011): Issue 2 (March 2011)
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07 Jun 2011
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6 times per year
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English
access type Open Access

Identification of Nonlinear Cascade Systems with Time-Varying Backlash

Published Online: 07 Jun 2011
Page range: 87 - 92
Journal Details
License
Format
Journal
First Published
07 Jun 2011
Publication timeframe
6 times per year
Languages
English

Recursive identification of cascade systems with time-varying input backlash and linear dynamic system is presented. A new analytic form of backlash characteristic description is used, hence all the parameters in the cascade model equation are separated and their estimation is solved as a quasi-linear problem using the recursive least squares method with internal variable estimation. Simulation studies are included.

Keywords

BAI, E. W.: Identification of Linear Systems with Hard Input Nonlinearities of Known Structure, Automatica 38 (2002), 853-860.Search in Google Scholar

BARREIRO, A.—BANOS, A.: Input-Output Stability of Systems with Backlash, Automatica 42 (2006), 1017-1024.Search in Google Scholar

CERONE, V.—REGRUTO, D.: Bounding the Parameters of Linear Systems with Input Backlash, IEEE Trans. Automatic Control 52 (2007), 531-536.Search in Google Scholar

CHEN, H. F.: Recursive System Identification, Acta Mathematica Scientia 29 B (2009), 650-672.Search in Google Scholar

CHEN, H. T.—HWANG, S. H.—CHANG, C. T.: Iterative Identification of Continuous-Time Hammerstein and Wiener Systems Using a Two-Stage Estimation Algorithm, Industrial & Engineering Chemistry Research 48 (2009), 1495-1510.Search in Google Scholar

CHIDAMBARAM, M.: Computer Control of Processes, CRC Press, New York, 2001.Search in Google Scholar

DING, F.—CHEN, T.: Identification of Hammerstein Nonlinear ARMAX Systems, Automatica 41 (2005), 1479-1489.Search in Google Scholar

DING, F.—CHEN, T.—IWAI, Z.: Adaptive Digital Control of Hammerstein Nonlinear Systems with Limited Output Sampling, SIAM Journal on Control and Optimization 45 (2007), 2257-2276.Search in Google Scholar

DING, F.—SHI, Y.—CHEN, T.: Gradient-Based Identification Methods for Hammerstein Nonlinear ARMAX Models, Nonlinear Dynamics 45 (2006), 31-43.Search in Google Scholar

DING, F.—SHI, Y.—CHEN, T.: Auxiliary Model-Based Least-Squares Identification Methods for Hammerstein Output-Error Systems, Systems & Control Letters 56 (2007), 373-380.Search in Google Scholar

DOLANC, G.—STRMCNIK, S.: Identification of Nonlinear Systems Using a Piecewise-Linear Hammerstein Model, Systems & Control Letters 54 (2005), 145-158.Search in Google Scholar

DONG, R.—TAN, Q.—TAN, Y.: Recursive Identification Algorithm for Dynamic Systems with Output Backlash and its Convergence, Int. J. Appl. Math. Comput. Sci. 19 (2009), 631-638.Search in Google Scholar

GIRI, F.—ROCHDI, Y.—CHAOUI, F. Z.—BROURI, A.: Identification of Hammerstein Systems in Presence of Hysteresis-Backlash and Hysteresis-Relay Nonlinearities, Automatica 44 (2008), 767-775.Search in Google Scholar

HASIEWICZ, Z.—MZYK, G.: Combined Parametric-Nonparametric Identification of Hammerstein Systems, IEEE Trans. on Automatic Control 49 (2004), 1370-1375.Search in Google Scholar

HASIEWICZ, Z.—PAWLAK, M.—SLIWINSKI, P.: Nonparametric Identification of Nonlinearities in Block-Oriented Systems by Orthogonal Wavelets with Compact Support, IEEE Trans. Circuits and Systems I 52 (2005), 427-442.Search in Google Scholar

HÄGGLUND, T.: Automatic On-Line Estimation of Backlash in Control Loops, Journal of Process Control 17 (2007), 489-499.Search in Google Scholar

JANCZAK, A.: Neural Network Approach for Identification of Hammerstein Systems, Int. J. Control 76 (2003), 1749-1766.Search in Google Scholar

JANCZAK, A.: Identification of Nonlinear Systems Using Neural Networks and Polynomial Models: A Block-Oriented Approach, Lecture Notes in Control and Information Sciences, Vol. 310, Springer-Verlag, Heidelberg, Berlin, 2005.Search in Google Scholar

KALAŠ, V.—JURIŠICA, L.—ŽALMAN, M.—ALMÁSSY, S.—SIVIČEK, P.—VARGA, A.—KALAŠ, D.: Nonlinear and Numerical Servosystems, Alfa/SNTL, Bratislava, 1985. (in Slovak)Search in Google Scholar

LACY, S. L.—BERNSTEIN, D. S.: Subspace Identification for Non-Linear Systems with Measured-Input Non-Linearities, Int. J. Control 78 (2005), 906-926.Search in Google Scholar

LIU, Y.—BAI, E. W.: Iterative Identification of Hammerstein Systems, Automatica 43 (2007), 346-354.Search in Google Scholar

LJUNG, L.—SÖDERSTRÖM, T.: Theory and Practice of Recursive Identification, MIT Press, Cambridge, MA, 1983.Search in Google Scholar

MZYK, G.: Generalized Kernel Regression Estimate for the Identification of Hammerstein Systems, Int. J. Applied Mathematics and Computer Science 17 (2007), 189-197.Search in Google Scholar

NORDIN, M.—GALIC, J.—GUTMAN, P. O.: New Models for Backlash and Gear Play, Int. J. Adapt. Control Signal Processing 11 (1997), 49-63.Search in Google Scholar

NORDIN, M.—GUTMAN, P. O.: Controlling Mechanical Systems with Backlash - a Survey, Automatica 38 (2002), 1633-1649.Search in Google Scholar

PUPEIKIS, R.: On the Identification of Hammerstein Systems Having Saturation-Like Functions with Positive Slopes, Informatica 17 (2006), 55-68.Search in Google Scholar

SELMIC, R. R.—LEWIS, F. L.: Neural Net Backlash Compensation with Hebbian Tuning Using Dynamic Inversion, Automatica 37 (2001), 1269-1277.Search in Google Scholar

SLIWINSKI, P.—ROZENBLIT, J.—MARCELLIN, M. W.—KLEMPOUS, R.: Wavelet Amendment of Polynomial Models in Hammerstein Systems Identification, IEEE Trans. Automatic Control 54 (2009), 820-825.Search in Google Scholar

SUN, L.—LIU, W.—SANO, A.: Identification of a Dynamical System with Input Nonlinearity, IEE Proceedings - Control Theory Applications 146 (1999), 41-51.Search in Google Scholar

TAO, G.—CANUDAS de WIT, C., (Eds.):: Special Issue on Adaptive Systems with Non-Smooth Nonlinearities, Int. J. Adapt. Control Signal Processing 11 (1997).Search in Google Scholar

TAO, G.—KOKOTOVIC, P. V.: Adaptive Control of Systems with Backlash, Automatica 29 (1993), 323-335.Search in Google Scholar

TAO, G.—KOKOTOVIC, P. V.: Adaptive Control of Systems with Unknown Output Backlash, IEEE Trans. Automatic Control 40 (1995), 326-330.Search in Google Scholar

TAO, G.—KOKOTOVIC, P. V.: Adaptive Control of Systems with Unknown Non-Smooth Non-Linearities, Int. J. Adapt. Control Signal Processing 11 (1997), 81-100.Search in Google Scholar

VÖRÖS, J.: Parameter Identification of Discontinuous Hammerstein Systems, Automatica 33 (1997), 1141-1146.Search in Google Scholar

VÖRÖS, J.: Modeling and Parameter Identification of Systems with Multisegment Piecewise-Linear Characteristics, IEEE Trans. Automatic Control 47 (2002), 184-188.Search in Google Scholar

VÖRÖS, J.: Recursive Identification of Hammerstein Systems with Discontinuous Nonlinearities Containing Dead-Zones, IEEE Trans. Automatic Control 48 (2003), 2203-2206.Search in Google Scholar

VÖRÖS, J.: Modeling and Identification of Systems with Backlash, Automatica 46 (2010), 369-374.Search in Google Scholar

WANG, J.—SANO, A.—CHEN, T.—HUANG, B.: Identification of Hammerstein Systems without Explicit Parameterization of Nonlinearity, Int. J. Control 82 (2009), 937-952.Search in Google Scholar

ZHANG, X.—TAN, Y.: Modelling of Ultrasonic Motor with Dead-Zone Based on Hammerstein Model Structure, Journal of Zhejiang University - Science A 9 (2008), 58-64.Search in Google Scholar

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