Auxiliary model based least squares identification method for a state space model with a unit time-delay

Applied Mathematical Modelling - Tập 36 - Trang 5773-5779 - 2012
Ya Gu1, Feng Ding2
1Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, PR China
2Control Science and Engineering Research Center, Jiangnan University, Wuxi 214122, PR China

Tài liệu tham khảo

Chen, 2010, A NARMAX model-based state-space self-tuning control for nonlinear stochastic hybrid systems, Applied Mathematical Modelling, 34, 3030, 10.1016/j.apm.2010.01.011 Devakar, 2011, Run up flow of an incompressible micropolar fluid between parallel plates-A state space approach, Applied Mathematical Modelling, 35, 1751, 10.1016/j.apm.2010.10.007 Zhang, 2011, Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems, Computers & Mathematics with Applications, 61, 672, 10.1016/j.camwa.2010.12.014 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 Zhang, 2009, Self-tuning control based on multi-innovation stochastic gradient parameter estimation, Systems & Control Letters, 58, 69, 10.1016/j.sysconle.2008.08.005 Shi, 2006, Multirate crosstalk identification in xDSL systems, IEEE Transactions on Communications, 54, 1878, 10.1109/TCOMM.2006.881380 Fung, 2010, System identification of a pick-and-place mechanism driven by a permanent magnet synchronous motor, Applied Mathematical Modelling, 34, 2323, 10.1016/j.apm.2009.10.040 Xie, 2010, Modelling 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, 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, 2011, Parameter estimation with scarce measurements, Automatica, 47, 1646, 10.1016/j.automatica.2011.05.007 Shi, 2003, Optimal design of multichannel 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 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, 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 Yu, 2008, l2−l∞ filtering for multirate systems based on lifted models, Circuits Systems and Signal Processing, 27, 699, 10.1007/s00034-008-9058-3 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 Shi, 2009, Kalman filter-based adaptive control for networked systems with unknown parameters and randomly missing outputs, International Journal of Robust and Nonlinear Control, 19, 1976, 10.1002/rnc.1390 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 Li, 2011, Maximum likelihood stochastic gradient estimation for Hammerstein systems with colored noise based on the key term separation technique, Computers & 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 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, 2007, Auxiliary model-based least-squares identification methods for Hammerstein output-error systems, Systems & Control Letters, 56, 373, 10.1016/j.sysconle.2006.10.026 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 Wang, 2010, Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems, Mathematical and Computer Modelling, 52, 309, 10.1016/j.mcm.2010.03.002 Ding, 2010, Least squares parameter estimation with irregularly missing data, International Journal of Adaptive Control and Signal Processing, 24, 540 Liu, 2010, Convergence of stochastic gradient algorithm for multivariable ARX-like systems, Computers & Mathematics with Applications, 59, 2615, 10.1016/j.camwa.2010.01.030 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 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, 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 Liu, 2010, Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data, Digital Signal Processing, 20, 1458, 10.1016/j.dsp.2010.01.004 Wang, 2010, Gradient-based iterative parameter estimation for Box–Jenkins systems, Computers & Mathematics with Applications, 60, 1200, 10.1016/j.camwa.2010.06.001 Ding, 2011, Identification methods for Hammerstein nonlinear systems, Digital Signal Processing, 21, 215, 10.1016/j.dsp.2010.06.006 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 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 Ding, 2007, Performance analysis of multi-innovation gradient type identification methods, Automatica, 43, 1, 10.1016/j.automatica.2006.07.024 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 J 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, 2009, Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems, Automatica, 45, 324, 10.1016/j.automatica.2008.08.007 Dehghani, 2008, Nonlinear state space model identification of synchronous generators, Electric Power Systems Research, 78, 926, 10.1016/j.epsr.2007.07.001 Schön, 2011, System identification of nonlinear state-space models, Automatica, 47, 39, 10.1016/j.automatica.2010.10.013 Du, 2011, Indirect identification of continuous-time delay systems from step responses, Applied Mathematical Modelling, 35, 594, 10.1016/j.apm.2010.07.004 Yan, 2008, Robust discrete-time sliding mode control for uncertain systems with time-varying state delay, IET Control Theory & Applications, 2, 662, 10.1049/iet-cta:20070460 Shi, 2009, Output feedback stabilization of networked control systems with random delays modeled by Markov chains, IEEE Transactions on Automatic Control, 54, 1668, 10.1109/TAC.2009.2020638 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 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 Han, 2009, Auxiliary model identification method for multirate multi-input systems based on least squares, Mathematical and Computer Modelling, 50, 1100, 10.1016/j.mcm.2009.06.002 Han, 2009, Identification for multirate multi-input systems using the multi-innovation identification theory, Computers & Mathematics with Applications, 57, 1438, 10.1016/j.camwa.2009.01.005 Goodwin, 1984 Ljung, 1999