Modified Subspace Identification for Periodically Non-uniformly Sampled Systems by Using the Lifting Technique

This paper studies identification problems for a class of multirate systems—non-uniformly sampled systems. The lifting technique is employed to handle the non-uniformly sampled input and output data, a lifted state-space model is derived to represent the non-uniform discrete-time systems, and a novel subspace identification method is proposed to deal with the casuality constraints in the lifted model. Simulation results show that the algorithm is effective.

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

[2]  B. Moor,et al.  Subspace identification for linear systems , 1996 .

[3]  J. Chu,et al.  Gradient-based and least-squares-based iterative algorithms for Hammerstein systems using the hierarchical identification principle , 2013 .

[4]  Feng Ding,et al.  Combined state and least squares parameter estimation algorithms for dynamic systems , 2014 .

[5]  Feng Ding,et al.  Recursive least squares parameter estimation for non-uniformly sampled systems based on the data filtering , 2011, Math. Comput. Model..

[6]  Feng Ding,et al.  Performance Analysis of the Auxiliary Model-Based Stochastic Gradient Parameter Estimation Algorithm for State-Space Systems with One-Step State Delay , 2013, Circuits Syst. Signal Process..

[7]  Gerhard Kreisselmeier,et al.  On sampling without loss of observability/controllability , 1999, IEEE Trans. Autom. Control..

[8]  Feng Ding,et al.  Recursive Relations of the Cost Functions for the Least-Squares Algorithms for Multivariable Systems , 2013, Circuits Syst. Signal Process..

[9]  F. Ding Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling , 2013 .

[10]  Sirish L. Shah,et al.  Generalized predictive control for non-uniformly sampled systems , 2002 .

[11]  Jie Ding,et al.  Bias compensation‐based parameter estimation for output error moving average systems , 2011 .

[12]  Feng Ding,et al.  Hierarchical Least Squares Estimation Algorithm for Hammerstein–Wiener Systems , 2012, IEEE Signal Processing Letters.

[13]  Huizhong Yang,et al.  Gradient-based iterative identification for nonuniform sampling output error systems , 2011 .

[14]  Feng Ding,et al.  Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems , 2009, Autom..

[15]  Feng Ding,et al.  Hierarchical Least Squares Identification for Linear SISO Systems With Dual-Rate Sampled-Data , 2011, IEEE Transactions on Automatic Control.

[16]  Jie Yu,et al.  Two-stage H∞ optimization approach to multirate controller design , 2012 .

[17]  Yong Wang,et al.  Frequency domain subspace identification of commensurate fractional order input time delay systems , 2011 .

[18]  Mohamed F. Hassan,et al.  A recursive state estimator in the presence of state inequality constraints , 2011 .

[19]  Yucai Zhu,et al.  System Identification using Slow and Irregular Output Samples , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[20]  Eiichi Muramatsu,et al.  Parameter and state estimation for uncertain linear systems by multiple observers , 2011 .

[21]  Huizhong Yang,et al.  Modelling and identification for non-uniformly periodically sampled-data systems , 2010 .

[22]  Feng Ding,et al.  Least squares estimation for a class of non-uniformly sampled systems based on the hierarchical identification principle , 2012, Circuits Syst. Signal Process..

[23]  Sirish L. Shah,et al.  Subspace identification for FDI in systems with non-uniformly sampled multirate data , 2006, Autom..

[24]  F. Ding Coupled-least-squares identification for multivariable systems , 2013 .

[25]  Sirish L. Shah,et al.  Kalman filters in non-uniformly sampled multirate systems: For FDI and beyond , 2008, Autom..

[26]  Feng Ding,et al.  Data filtering based recursive least squares algorithm for Hammerstein systems using the key-term separation principle , 2013, Inf. Sci..

[27]  Bart De Moor,et al.  Subspace Identification for Linear Systems: Theory ― Implementation ― Applications , 2011 .

[28]  F. Ding,et al.  An auxiliary model based on a recursive least-squares parameter estimation algorithm for non-uniformly sampled multirate systems , 2009 .

[29]  F. Ding,et al.  Newton iterative identification for a class of output nonlinear systems with moving average noises , 2013 .

[30]  Feng Ding,et al.  Partially Coupled Stochastic Gradient Identification Methods for Non-Uniformly Sampled Systems , 2010, IEEE Transactions on Automatic Control.

[31]  F. Ding Two-stage least squares based iterative estimation algorithm for CARARMA system modeling ☆ , 2013 .

[32]  Tohru Katayama,et al.  Subspace Methods for System Identification , 2005 .

[33]  Ruifeng Ding,et al.  Parameter and State Estimation Algorithm for a State Space Model with a One-unit State Delay , 2013, Circuits Syst. Signal Process..

[34]  Zi‐Jiang Yang,et al.  Identification of Lifted Models for General Dual-Rate Sampled-Data Systems Using N4SID Algorithm , 2008 .

[35]  Feng Ding,et al.  Decomposition based fast least squares algorithm for output error systems , 2013, Signal Process..