Probability-Guaranteed H∞-Filtering for 2D-Systems with Random Nonlinearities and Missing Measurements

The probability-guaranteed H∞-filtering problem for 2D-discrete time systems with random nonlinearities and missing measurements is studied. To characterise the statistical uncertain parameters, the uniform distribution is used. The filter parameters are derived by LMI technique and a special parameter-box is used to guarantee H∞-performance with pre-specified probability constraints. An example shows the effectiveness of the filtering scheme developed. AMS subject classifications: 93E11

[1]  Stanislaw Walczak,et al.  Application of 2D systems to investigation of a process of gas filtration , 2012, Multidimens. Syst. Signal Process..

[2]  Zidong Wang,et al.  A Variance-Constrained Approach to Recursive Filtering for Nonlinear 2-D Systems With Measurement Degradations , 2018, IEEE Transactions on Cybernetics.

[3]  Uri Shaked,et al.  Probability-guaranteed robust H∞ performance analysis and state-feedback design , 2003, Syst. Control. Lett..

[4]  Jun Hu,et al.  Gain-Constrained Recursive Filtering With Stochastic Nonlinearities and Probabilistic Sensor Delays , 2013, IEEE Transactions on Signal Processing.

[5]  Abdelaziz Hmamed,et al.  Robust ∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach , 2012 .

[6]  Hamid Reza Karimi,et al.  H∞ control for two-dimensional Markovian jump systems with state-delays and defective mode information , 2013 .

[7]  Huijun Gao,et al.  Robust H∞ Filtering for 2D Stochastic Systems , 2004 .

[8]  Shuai Liu,et al.  Probability-guaranteed set-membership filtering for systems with incomplete measurements , 2015, Autom..

[9]  Zidong Wang,et al.  State estimation for two‐dimensional complex networks with randomly occurring nonlinearities and randomly varying sensor delays , 2014 .

[10]  T. Kaczorek.  Two-Dimensional Linear Systems , 1985 .

[11]  Shuling Wang,et al.  Robust H∞ Control for a Class of 2-D Nonlinear Discrete Stochastic Systems , 2013, Circuits Syst. Signal Process..

[12]  Emmanuel Moulay,et al.  Lyapunov Theory for 2-D Nonlinear Roesser Models: Application to Asymptotic and Exponential Stability , 2013, IEEE Transactions on Automatic Control.

[13]  Ligang Wu,et al.  Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings , 2015, Autom..

[14]  Amit Dhawan,et al.  Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model , 2012 .

[15]  I-Kong Fong,et al.  Robust filtering for 2-D state-delayed systems with NFT uncertainties , 2006, IEEE Transactions on Signal Processing.

[16]  Huijun Gao,et al.  Robust H∞ Filtering for 2-D Systems with Intermittent Measurements , 2009, Circuits Syst. Signal Process..

[17]  Jun Hu,et al.  Probability-guaranteed H∞ finite-horizon filtering for a class of nonlinear time-varying systems with sensor saturations , 2012, Syst. Control. Lett..