Iterative identification methods for input nonlinear multivariable systems using the key-term separation principle

Abstract Identification for input nonlinear multivariable systems lies in that there exist the products of the parameters of the nonlinear block and the linear block. By means of the key-term separation principle, a subsystem least squares based iterative algorithm and a subsystem gradient based iterative algorithm are proposed for input nonlinear systems described by controlled autoregressive moving average models. Finally, the proposed methods are tested using numerical examples.

[1]  Maxime Gautier,et al.  Identification of Physical Parameters and Instrumental Variables Validation With Two-Stage Least Squares Estimator , 2013, IEEE Transactions on Control Systems Technology.

[2]  Hugues Garnier,et al.  Refined instrumental variable method for Hammerstein-Wiener continuous-time model identification , 2013 .

[3]  Bo Yu,et al.  Robust mixed H2/H∞ control of networked control systems with random time delays in both forward and backward communication links , 2011, Autom..

[4]  Feng Ding,et al.  Decomposition Based Newton Iterative Identification Method for a Hammerstein Nonlinear FIR System with ARMA Noise , 2014, Circuits Syst. Signal Process..

[5]  Ximei Liu,et al.  New criteria for the robust impulsive synchronization of uncertain chaotic delayed nonlinear systems , 2014, Nonlinear Dynamics.

[6]  Masoud Hajarian,et al.  Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations , 2013, J. Frankl. Inst..

[7]  Yong Zhang,et al.  Bias compensation methods for stochastic systems with colored noise , 2011 .

[8]  Huazhen Fang,et al.  Kalman filter-based identification for systems with randomly missing measurements in a network environment , 2010, Int. J. Control.

[9]  Fredrik Lindsten,et al.  Bayesian semiparametric Wiener system identification , 2013, Autom..

[10]  Tao Tang,et al.  Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique , 2014 .

[11]  J. Vörös Recursive Identification of Nonlinear Cascade Systems With Time-Varying General Input Backlash , 2013 .

[12]  Shen Yin,et al.  Switching Stabilization for a Class of Slowly Switched Systems , 2015, IEEE Transactions on Automatic Control.

[13]  Feng Ding,et al.  Recursive least squares parameter identification algorithms for systems with colored noise using the filtering technique and the auxilary model , 2015, Digit. Signal Process..

[14]  Yan Ji,et al.  Unified Synchronization Criteria for Hybrid Switching-Impulsive Dynamical Networks , 2015, Circuits Syst. Signal Process..

[15]  Baolin Liu,et al.  Recursive Extended Least Squares Parameter Estimation for Wiener Nonlinear Systems with Moving Average Noises , 2013, Circuits, Systems, and Signal Processing.

[16]  Xinggao Liu,et al.  A novel APSO-aided maximum likelihood identification method for Hammerstein systems , 2013 .

[17]  Simon X. Yang,et al.  A Bioinspired Filtered Backstepping Tracking Control of 7000-m Manned Submarine Vehicle , 2014, IEEE Transactions on Industrial Electronics.

[18]  Shing-Chow Chan,et al.  New Sequential Partial-Update Least Mean M-Estimate Algorithms for Robust Adaptive System Identification in Impulsive Noise , 2011, IEEE Transactions on Industrial Electronics.

[19]  F. Ding,et al.  Iterative estimation methods for Hammerstein controlled autoregressive moving average systems based on the key-term separation principle , 2014 .

[20]  Huiping Li,et al.  Robust H∞ filtering for nonlinear stochastic systems with uncertainties and Markov delays , 2012, Autom..

[21]  Jan Swevers,et al.  Identification of nonlinear systems using Polynomial Nonlinear State Space models , 2010, Autom..

[22]  Zi‐Jiang Yang,et al.  Selection of NARX models estimated using weighted least squares method via GIC-based method and l1-norm regularization methods , 2012 .

[23]  Atsushi Fujimori,et al.  Parameter identification of continuous-time systems using iterative learning control , 2011 .

[24]  Feng Ding,et al.  Auxiliary model based least squares parameter estimation algorithm for feedback nonlinear systems using the hierarchical identification principle , 2013, J. Frankl. Inst..

[25]  Feng Ding,et al.  Identification of Hammerstein nonlinear ARMAX systems , 2005, Autom..

[26]  Feng Ding,et al.  Hierarchical gradient-based identification of multivariable discrete-time systems , 2005, Autom..

[27]  Lingjie Chen,et al.  Stability and Stabilization of a Class of Multimode Linear Discrete-Time Systems With Polytopic Uncertainties , 2009, IEEE Transactions on Industrial Electronics.

[28]  Ahmed H. Tewfik,et al.  Learning Sparse Representation Using Iterative Subspace Identification , 2010, IEEE Transactions on Signal Processing.

[29]  M. Dehghan,et al.  Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations , 2011 .

[30]  J. Voros Identification of Hammerstein systems with time-varying piecewise-linear characteristics , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[31]  Simon X. Yang,et al.  The Path Planning of AUV Based on D-S Information Fusion Map Building and Bio-Inspired Neural Network in Unknown Dynamic Environment , 2014 .

[32]  F. Ding,et al.  Identification of Hammerstein MIMO systems using the key-term separation principle , 2014, Proceeding of the 11th World Congress on Intelligent Control and Automation.

[33]  Simon X. Yang,et al.  A Bio-Inspired Cascaded Approach for Three-Dimensional Tracking Control of Unmanned underwater Vehicles , 2014, Int. J. Robotics Autom..

[34]  Jie Ding,et al.  Modified Subspace Identification for Periodically Non-uniformly Sampled Systems by Using the Lifting Technique , 2013, Circuits, Systems, and Signal Processing.

[35]  Feng Ding,et al.  Parameter estimation for a multivariable state space system with d-step state-delay , 2013, J. Frankl. Inst..

[36]  Ye Zhao,et al.  Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[37]  Jie Ding,et al.  Auxiliary model based parameter estimation for dual-rate output error systems with colored noise ☆ , 2013 .

[38]  Junhong Li,et al.  Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration , 2013, Appl. Math. Lett..

[39]  Fouad Giri,et al.  A unified approach for the parametric identification of SISO/MIMO Wiener and Hammerstein systems , 2014, J. Frankl. Inst..

[40]  Hazem N. Nounou,et al.  State and parameter estimation for nonlinear biological phenomena modeled by S-systems , 2014, Digit. Signal Process..

[41]  Luca Benini,et al.  Bias-Compensated Least Squares Identification of Distributed Thermal Models for Many-Core Systems-on-Chip , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.