New results on discrete-time delay systems identification

A new approach for simultaneous online identification of unknown time delay and dynamic parameters of discrete-time delay systems is proposed in this paper. The proposed algorithm involves constructing a new generalized regression vector and defining the time delay and the rational dynamic parameters in the same vector. The gradient algorithm is used to deal with the identification problem. The effectiveness of this method is illustrated through simulation.

[1]  Tokunbo Ogunfunmi,et al.  Adaptive Nonlinear System Identification , 2007 .

[2]  Weisheng Chen,et al.  Adaptive output-feedback regulation for nonlinear delayed systems using neural network , 2008, Int. J. Autom. Comput..

[3]  T. Senthilkumar,et al.  Delay-dependent Robust Stabilization and H∞ Control for Uncertain Stochastic T-S Fuzzy Systems with Discrete Interval and Distributed Time-varying Delays , 2013, Int. J. Autom. Comput..

[4]  Chia-Chi Tsui,et al.  Observer design for systems with time-delayed states , 2012, Int. J. Autom. Comput..

[5]  Feng Ding,et al.  Input-output data filtering based recursive least squares identification for CARARMA systems , 2010, Digit. Signal Process..

[6]  Yanjun Liu,et al.  Gradient based and least squares based iterative algorithms for matrix equations AXB + CXTD = F , 2010, Appl. Math. Comput..

[7]  Ilya V. Kolmanovsky,et al.  Predictive energy management of a power-split hybrid electric vehicle , 2009, 2009 American Control Conference.

[8]  Su Whan Sung,et al.  Prediction Error Identification Method for Continuous-Time Processes with Time Delay , 2001 .

[9]  Yury Orlov,et al.  On-line identification of SISO linear time-invariant delay systems from output measurements , 2007, Autom..

[10]  Wei Xing Zheng,et al.  Identification problems in distributed parameter neuron models , 1990 .

[11]  P. Gawthrop,et al.  Identification of time delays using a polynomial identification method , 1985 .

[12]  Feng Ding,et al.  Least squares based and gradient based iterative identification for Wiener nonlinear systems , 2011, Signal Process..

[13]  Jean-Pierre Richard,et al.  Adaptive identification of linear time‐delay systems , 2003 .

[14]  Tao Zhang,et al.  An adaptive fuzzy Smith control of time-varying processes with dominant and variable delay , 2003, Proceedings of the 2003 American Control Conference, 2003..

[15]  Xuemei Ren,et al.  Online identification of continuous-time systems with unknown time delay , 2005, IEEE Transactions on Automatic Control.

[16]  Tao Zhang,et al.  A Bilateral Control of Teleoperators Based on Time Delay Identification , 2008, 2008 IEEE Conference on Robotics, Automation and Mechatronics.

[17]  Jie Sheng,et al.  Least squares based iterative parameter estimation algorithm for multivariable controlled ARMA system modelling with finite measurement data , 2011, Math. Comput. Model..

[18]  Kevin L. Moore,et al.  Iterative learning control and repetitive control in hard disk drive industry—A tutorial , 2008 .

[19]  Tao Zhang,et al.  An adaptive generalized predictive control of time-varying delay system , 2004, Proceedings of 2004 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.04EX826).

[20]  H. Kurz,et al.  Digital parameter-adaptive control of processes with unknown dead time , 1981, Autom..

[21]  Rafael Castro-Linares,et al.  Trajectory tracking for non-holonomic cars: A linear approach to controlled leader-follower formation , 2010, 49th IEEE Conference on Decision and Control (CDC).

[22]  Tokunbo Ogunfunmi,et al.  Adaptive Nonlinear System Identification: The Volterra and Wiener Model Approaches , 2007 .

[23]  Kamel Abderrahim,et al.  Representation and control of time delay system: Multimodel approach , 2011, Eighth International Multi-Conference on Systems, Signals & Devices.

[24]  P Balasubramaniam,et al.  DELAY-DEPENDENT ROBUST STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC T-S FUZZY SYSTEMS WITH MULTIPLE TIME DELAYS , 2012 .

[25]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[26]  Sergey V. Drakunov,et al.  Delay identification in time-delay systems using variable structure observers , 2006, Annu. Rev. Control..

[27]  M. Sen.  Robust adaptive control of linear time-delay systems with point time-varying delays via multiestimation , 2009 .

[28]  Yuan-Chun Li,et al.  A fuzzy Smith control of time-varying delay systems based on time delay identification , 2003, Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693).

[29]  O. Nelles.  Nonlinear System Identification , 2001 .

[30]  O. Nelles.  Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models , 2000 .

[31]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[32]  K. Gu,et al.  Delay effects on stability: a survey , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[33]  Sirish L. Shah,et al.  Parameter and delay estimation of continuous-time models using a linear filter , 2006 .

[34]  Yury Orlov,et al.  On identifiability of linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[35]  R. Ocampo-Pérez,et al.  Adsorption of Fluoride from Water Solution on Bone Char , 2007 .

[36]  Riccardo Scattolini,et al.  Recursive estimation of time delay in sampled systems , 1991, Autom..

[37]  G. Dumont,et al.  New method for delay estimation , 1990, 29th IEEE Conference on Decision and Control.

[38]  Yong Zhang,et al.  Robust identification of continuous systems with dead-time from step responses , 2001, Autom..

[39]  J. Ryoo,et al.  Feedback-Based Iterative Learning Control for MIMO LTI Systems , 2008 .

[40]  Ahmad B. Rad,et al.  Simultaneous online identification of rational dynamics and time delay: a correlation-based approach , 2003, IEEE Trans. Control. Syst. Technol..