Parameter identification of systems with preload nonlinearities based on the finite impulse response model and negative gradient search

Liu, 2010, Least squares based iterative identification for a class of multirate systems, Automatica, 46, 549, 10.1016/j.automatica.2010.01.007 Liu, 2010, Convergence of stochastic gradient algorithm for multivariable ARX-like systems, Computers and Mathematics with Applications, 59, 2615, 10.1016/j.camwa.2010.01.030 Ding, 2010, Gradient based and least-squares based iterative identification methods for OE and OEMA systems, Digital Signal Processing, 20, 664, 10.1016/j.dsp.2009.10.012 Yu, 2010, Identification of Hammerstein output-error systems with two-segment nonlinearities: algorithm and applications, Journal of Control and Intelligent Systems, 38, 194 Ding, 2012, Gradient based and least squares based iterative estimation algorithms for multi-input multi-output systems, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 226, 43, 10.1177/0959651811409491 Shi, 2003, Optimal design of multi-channel transmultiplexers with stopband energy and passband magnitude constraints, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 50, 659, 10.1109/TCSII.2003.816917 Shi, 2006, Multirate crosstalk identification in xDSL systems, IEEE Transactions on Communications, 54, 1878, 10.1109/TCOMM.2006.881380 Shi, 2010, Kalman filter based identification for systems with randomly missing measurements in a network environment, International Journal of Control, 83, 538, 10.1080/00207170903273987 Li, 2012, Robust H∞ filtering for nonlinear stochastic systems with uncertainties and random delays modeled by Markov chains, Automatica, 48, 159, 10.1016/j.automatica.2011.09.045 Ding, 2004, Least squares based self-tuning control of dual-rate systems, International Journal of Adaptive Control and Signal Processing, 18, 697, 10.1002/acs.828 Ding, 2006, A gradient based adaptive control algorithm for dual-rate systems, Asian Journal of Control, 8, 314, 10.1111/j.1934-6093.2006.tb00283.x Ding, 2007, Adaptive digital control of Hammerstein nonlinear systems with limited output sampling, SIAM Journal on Control and Optimization, 45, 2257, 10.1137/05062620X Zhang, 2009, Self-tuning control based on multi-innovation stochastic gradient parameter estimation, Systems and Control Letters, 58, 69, 10.1016/j.sysconle.2008.08.005 Liu, 2011, High-purity control of internal thermally coupled distillation columns based on the nonlinear wave model, Journal of Process Control, 21, 920, 10.1016/j.jprocont.2011.03.002 Liu, 2011, Adaptive robust generic model control of high-purity internal thermally coupled distillation column, Chemical Engineering and Technology, 34, 111, 10.1002/ceat.201000343 Liu, 2012, Adaptive generalised predictive control of high purity internal thermally coupled distillation column, Canadian Journal of Chemical Engineering, 90, 420, 10.1002/cjce.20539 Han, 2009, Multi-innovation stochastic gradient algorithms for multi-input multi-output systems, Digital Signal Processing, 19, 545, 10.1016/j.dsp.2008.12.002 Ding, 2008, Performance analysis of stochastic gradient algorithms under weak conditions, Science in China Series F–Information Sciences, 51, 1269, 10.1007/s11432-008-0117-y Ding, 2007, Performance analysis of multi-innovation gradient type identification methods, Automatica, 43, 1, 10.1016/j.automatica.2006.07.024 Ding, 2011, Identification methods for Hammerstein nonlinear systems, Digital Signal Processing, 21, 215, 10.1016/j.dsp.2010.06.006 Ding, 2012, Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling, Applied Mathematical Modelling, 10.1016/j.apm.2012.04.039 Wang, 2011, Least squares based and gradient based iterative identification for Wiener nonlinear systems, Signal Processing, 91, 1182, 10.1016/j.sigpro.2010.11.004 Li, 2011, Maximum likelihood stochastic gradient estimation for Hammerstein systems with colored noise based on the key term separation technique, Computers and Mathematics with Applications, 62, 4170, 10.1016/j.camwa.2011.09.067 Li, 2012, Maximum likelihood least squares identification method for input nonlinear finite impulse response moving average systems, Mathematical and Computer Modelling, 55, 442, 10.1016/j.mcm.2011.08.023 Wang, 2011, Maximum likelihood parameter estimation algorithm for controlled autoregressive autoregressive models, International Journal of Computer Mathematics, 88, 3458, 10.1080/00207160.2011.598514 Wang, 2012, Maximum likelihood least squares identification for systems with autoregressive moving average noise, Applied Mathematical Modelling, 36, 1842, 10.1016/j.apm.2011.07.083 Ding, 2011, Parameter estimation with scarce measurements, Automatica, 47, 1646, 10.1016/j.automatica.2011.05.007 Gu, 2012, Auxiliary model based least squares identification method for a state space model with a unit time-delay, Applied Mathematical Modelling, 36, 5773, 10.1016/j.apm.2012.01.039 Ding, 2012, Performance analysis of the auxiliary model based least squares identification algorithm for one-step state delay systems, International Journal of Computer Mathematics, 698008 Ding, 2012, Performance analysis of the auxiliary model-based stochastic gradient parameter estimation algorithm for state space systems with one-step state delay circuits, Systems and Signal Processing, 10.1007/s00034-012-9463-5 Ding, 2005, Hierarchical identification of lifted state-space models for general dual-rate systems, IEEE Transactions on Circuits and Systems I: Regular Papers, 52, 1179, 10.1109/TCSI.2005.849144 Ding, 2009, Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems, Automatica, 45, 324, 10.1016/j.automatica.2008.08.007 Zhuang, 2012, Parameter and state estimation algorithm for single-input single-output linear systems using the canonical state space models, Applied Mathematical Modelling, 36, 3454, 10.1016/j.apm.2011.10.028 Ding, 2005, Identification of Hammerstein nonlinear ARMAX systems, Automatica, 41, 1479, 10.1016/j.automatica.2005.03.026 Chen, 2010, Auxiliary model based multi-innovation algorithms for multivariable nonlinear systems, Mathematical and Computer Modelling, 52, 1428, 10.1016/j.mcm.2010.05.026 Wang, 2008, Extended stochastic gradient identification algorithms for Hammerstein-Wiener ARMAX systems, Computers and Mathematics with Applications, 56, 3157, 10.1016/j.camwa.2008.07.015 Ding, 2011, Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data, IEEE Transactions on Automatic Control, 56, 2677, 10.1109/TAC.2011.2158137 Ding, 2011, Bias compensation based parameter estimation for output error moving average systems, International Journal of Adaptive Control and Signal Processing, 25, 1100, 10.1002/acs.1266 Ding, 2007, A finite-data-window least squares algorithm with a forgetting factor for dynamical modeling, Applied Mathematics and Computation, 186, 184, 10.1016/j.amc.2006.06.133 Hu, 2012, An iterative least squares estimation algorithm for controlled moving average systems based on matrix decomposition, Applied Mathematics Letters, 10.1016/j.aml.2012.06.027 Ding, 2005, Performance bounds of the forgetting factor least squares algorithm for time-varying systems with finite measurement data, IEEE Transactions on Circuits and Systems–I: Regular Papers, 52, 555, 10.1109/TCSI.2004.842874 Ding, 2006, Performance analysis of estimation algorithms of non-stationary ARMA processes, IEEE Transactions on Signal Processing, 54, 1041, 10.1109/TSP.2005.862845 Ding, 2010, Time series AR modeling with missing observations based on the polynomial transformation, Mathematical and Computer Modelling, 51, 527, 10.1016/j.mcm.2009.11.016 Ding, 2008, Parameter identification and intersample output estimation for dual-rate systems, IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 38, 966, 10.1109/TSMCA.2008.923030 Liu, 2009, Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model, Applied Mathematics and Computation, 215, 1477, 10.1016/j.amc.2009.07.012 Ding, 2010, Partially coupled stochastic gradient identification methods for non-uniformly sampled systems, IEEE Transactions on Automatic Control, 55, 1976, 10.1109/TAC.2010.2050713 Xiao, 2012, Multi-innovation stochastic gradient parameter estimation for input nonlinear controlled autoregressive models, International Journal of Control, Automation, and Systems, 10, 639, 10.1007/s12555-012-0322-8 Zhang, 2011, Bias compensation methods for stochastic systems with colored noise, Applied Mathematical Modelling, 35, 1709, 10.1016/j.apm.2010.10.003 Zhang, 2011, Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods, Mathematical and Computer Modelling, 53, 1810, 10.1016/j.mcm.2010.12.059 Ding, 2005, Gradient based iterative algorithms for solving a class of matrix equations, IEEE Transactions on Automatic Control, 50, 1216, 10.1109/TAC.2005.852558 Ding, 2005, Iterative least squares solutions of coupled Sylvester matrix equations, Systems and Control Letters, 54, 95, 10.1016/j.sysconle.2004.06.008 Ding, 2006, On iterative solutions of general coupled matrix equations, SIAM Journal on Control and Optimization, 44, 2269, 10.1137/S0363012904441350 Ding, 2008, Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle, Applied Mathematics and Computation, 197, 41, 10.1016/j.amc.2007.07.040 Xie, 2009, Gradient based iterative solutions for general linear matrix equations, Computers and Mathematics with Applications, 58, 1441, 10.1016/j.camwa.2009.06.047 Ding, 2010, Iterative solutions to matrix equations of form AiXBi=Fi, Computers and Mathematics with Applications, 59, 3500, 10.1016/j.camwa.2010.03.041 Ding, 2010, Transformations between some special matrices, Computers and Mathematics with Applications, 59, 2676, 10.1016/j.camwa.2010.01.036 Xie, 2010, Gradient based and least squares based iterative algorithms for matrix equations AXB+CXTD=F, Applied Mathematics and Computation, 217, 2191, 10.1016/j.amc.2010.07.019 Ding, 2004, Identification of dual-rate systems based on finite impulse response models, International Journal of Adaptive Control and Signal Processing, 18, 589, 10.1002/acs.820 Ding, 2004, Combined parameter and output estimation of dual-rate systems using an auxiliary model, Automatica, 40, 1739, 10.1016/j.automatica.2004.05.001 Ding, 2005, Parameter estimation of dual-rate stochastic systems by using an output error method, IEEE Transactions on Automatic Control, 50, 1436, 10.1109/TAC.2005.854654 Ding, 2010, Least squares parameter estimation with irregularly missing data, International Journal of Adaptive Control and Signal Processing, 24, 540 Ding, 2009, Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises, Signal Processing, 89, 1883, 10.1016/j.sigpro.2009.03.020 Liu, 2009, An auxiliary model based recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 223, 445, 10.1243/09596518JSCE686 Wang, 2010, Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems, Digital Signal Processing, 20, 750, 10.1016/j.dsp.2009.09.002 Ding, 2007, Multi-innovation least squares identification methods based on the auxiliary model for MISO systems, Applied Mathematics and Computation, 187, 658, 10.1016/j.amc.2006.08.090 Liu, 2010, Multi-innovation extended stochastic gradient algorithm and its performance analysis, Circuits, Systems and Signal Processing, 29, 649, 10.1007/s00034-010-9174-8 Ding, 2010, Multi-innovation least squares identification for linear and pseudo-linear regression models, IEEE Transactions on Systems Man and Cybernetics Part B: Cybernetics, 40, 767, 10.1109/TSMCB.2009.2028871 Xie, 2010, Modeling and identification for non-uniformly periodically sampled-data systems, IET Control Theory and Applications, 4, 784, 10.1049/iet-cta.2009.0064 Ding, 2010, Several multi-innovation identification methods, Digital Signal Processing, 20, 1027, 10.1016/j.dsp.2009.10.030 Han, 2010, Hierarchical least squares based iterative identification for multivariable systems with moving average noises, Mathematical and Computer Modelling, 51, 1213, 10.1016/j.mcm.2010.01.003 Zhang, 2011, Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems, Computers and Mathematics with Applications, 61, 672, 10.1016/j.camwa.2010.12.014 Liu, 2012, Least squares estimation for a class of non-uniformly sampled systems based on the hierarchical identification principle, Circuits Systems and Signal Processing, 10.1007/s00034-012-9421-2 Wang, 2011, Least squares-based recursive and iterative estimation for output error moving average (OEMA) systems using data filtering, IET Control Theory and Applications, 5, 1648, 10.1049/iet-cta.2010.0416 Chen, 2012, Gradient based estimation algorithm for Hammerstein systems with saturation and dead-zone nonlinearities, Applied Mathematical Modelling, 36, 238, 10.1016/j.apm.2011.05.049 Ding, 2007, Auxiliary model based least-squares identification methods for Hammerstein output-error systems, Systems and Control Letters, 56, 373, 10.1016/j.sysconle.2006.10.026 Xiao, 2011, Parameter estimation for nonlinear dynamical adjustment models, Mathematical and Computer Modelling, 54, 1561, 10.1016/j.mcm.2011.04.027 Ding, 2008, Parameter identification of multi-input, single-output systems based on FIR models and least squares principle, Applied Mathematics and Computation, 197, 297, 10.1016/j.amc.2007.07.076 Han, 2009, Identification for multirate multi-input systems using the multi-innovation identification theory, Computers and Mathematics with Applications, 57, 1438, 10.1016/j.camwa.2009.01.005 Han, 2009, Auxiliary models based recursive least squares identification for multirate multi-input systems, Mathematical and Computer Modelling, 50, 1100, 10.1016/j.mcm.2009.06.002