Data-Driven Filter Design for Linear Networked Systems with Bounded Noise

Considering the case that the mathematical model of control plant is unavailable, this paper is concerned with the problem of data-driven filtering for linear networked systems with bounded noise and transmission data dropouts. One merit of the design is that the filter can be directly employed without identifying the model. To overcome the effect of data dropouts during the transmission, an output predictor is designed based only on the received output and input of the system. By utilizing the predicted output, a direct worst-case almost-optimal filter within the set membership framework is presented.

[1]  Yuanqing Xia,et al.  New Results on H∞ Filtering for Fuzzy Time-Delay Systems , 2009, IEEE Trans. Fuzzy Syst..

[2]  Qing-Long Han,et al.  Network-Based Filtering for Discrete-Time Systems , 2012 .

[3]  Mario Milanese,et al.  Direct data-driven filter design for uncertain LTI systems with bounded noise , 2010, Autom..

[4]  Carlo Novara,et al.  The filter design from data (FD2) problem: Nonlinear Set Membership approach , 2009, Autom..

[5]  Wen-an Zhang,et al.  Networked Hinfinity filtering for linear discrete-time systems , 2011, Inf. Sci..

[6]  Qing-Long Han,et al.  Network-Based $H_{\infty}$ Filtering for Discrete-Time Systems , 2012, IEEE Transactions on Signal Processing.

[7]  Carlo Novara,et al.  Direct Filtering: A New Approach to Optimal Filter Design for Nonlinear Systems , 2013, IEEE Transactions on Automatic Control.

[8]  Panos J. Antsaklis,et al.  On the model-based control of networked systems , 2003, Autom..

[9]  Yuanqing Xia,et al.  Robust filter design for piecewise discrete‐time systems with time‐varying delays , 2009 .

[10]  Yuanqing Xia,et al.  Parameter-dependent robust H∞ filtering for uncertain discrete-time systems , 2009, Autom..

[11]  Yuanqing Xia,et al.  Analysis and Synthesis of Networked Control Systems , 2011 .

[12]  F. Ding,et al.  Least‐squares parameter estimation for systems with irregularly missing data , 2009 .

[13]  Richard M. Murray,et al.  Data Transmission Over Networks for Estimation and Control , 2009, IEEE Transactions on Automatic Control.

[14]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .