Event-triggered Non-fragile State Estimation for Discrete Nonlinear Markov Jump Neural Networks with Sensor Failures

This paper investigates the non-fragile state estimation problem for discrete nonlinear Markov jump neural networks(MJNNs) with sensor failures. Due to the limit communication resource, we adopt a kind of event-triggered mechanism to determine whether the sensor sampling information is sent or not. By selecting suitable Lyapunov functions, a sufficient condition is obtained to guarantee the mean-square exponential stability of the augmented system. Finally, a numerical example is given to show the effectiveness of the proposed method.

[1]  Ju H. Park,et al.  Passivity analysis of Markov jump neural networks with mixed time-delays and piecewise-constant transition rates , 2012 .

[2]  Jianbin Qiu,et al.  A Combined Adaptive Neural Network and Nonlinear Model Predictive Control for Multirate Networked Industrial Process Control , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[3]  Lennart Ljung,et al.  Frequency domain identification of continuous-time output error models, Part I: Uniformly sampled data and frequency function approximation , 2010, Autom..

[4]  Lothar Litz,et al.  Estimation of unmeasured inputs using recurrent neural networks and the extended Kalman filter , 1997, Proceedings of International Conference on Neural Networks (ICNN'97).

[5]  Zidong Wang,et al.  On global asymptotic stability of neural networks with discrete and distributed delays , 2005 .

[6]  Jian-Ning Li,et al.  Finite-time non-fragile state estimation for discrete neural networks with sensor failures, time-varying delays and randomly occurring sensor nonlinearity , 2019, J. Frankl. Inst..

[7]  Tieshan Li,et al.  Event-Triggered Finite-Time Control for Networked Switched Linear Systems With Asynchronous Switching , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[9]  James Lam,et al.  Non-fragile output feedback H∞ vehicle suspension control using genetic algorithm , 2003 .

[10]  Hamid Reza Karimi,et al.  Asynchronous Finite-Time Filtering of Networked Switched Systems and its Application: an Event-Driven Method , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Daniel W. C. Ho,et al.  State/noise estimator for descriptor systems with application to sensor fault diagnosis , 2006, IEEE Transactions on Signal Processing.

[12]  Emilia Fridman,et al.  Recent developments on the stability of systems with aperiodic sampling: An overview , 2017, Autom..

[13]  Dong Yue,et al.  Event-based H∞ filtering for networked system with communication delay , 2012, Signal Process..

[14]  Meng Wang,et al.  Editorial: A Successful Year and Looking Forward to 2017 and Beyond , 2017, IEEE Trans. Neural Networks Learn. Syst..

[15]  Jianliang Wang,et al.  Non-fragile Hinfinity control for linear systems with multiplicative controller gain variations , 2001, Autom..

[16]  Jian-Ning Li,et al.  Mixed passive / H∞ hybrid control for delayed Markovian jump system with actuator constraints and fault alarm , 2018, International Journal of Robust and Nonlinear Control.

[17]  Hongyi Li,et al.  Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays☆ , 2008 .

[18]  Jian-Ning Li,et al.  Mean-square exponential stability for stochastic discrete-time recurrent neural networks with mixed time delays , 2015, Neurocomputing.

[19]  Thomas R. Bewley,et al.  A noncausal framework for model-based feedback control of spatially developing perturbations in boundary-layer flow systems. Part I: formulation , 2004, Syst. Control. Lett..

[20]  Qing-Long Han,et al.  Network-based output tracking control for T-S fuzzy systems using an event-triggered communication scheme , 2015, Fuzzy Sets Syst..

[21]  Qing-Long Han,et al.  An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems , 2017, IEEE Transactions on Industrial Informatics.

[22]  Hao Shen,et al.  Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[23]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[24]  Zidong Wang,et al.  Non-fragile H ∞ control with randomly occurring gain variations, distributed delays and channel fadings , 2015 .

[25]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[26]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[27]  Sergio M. Savaresi,et al.  Approximate linearization via feedback - an overview , 2001, Autom..

[28]  Tianyou Chai,et al.  Nonlinear indirect adaptive decoupling control based on neural networks and multiple models , 2006, 2006 American Control Conference.

[29]  Linlin Hou,et al.  Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities , 2018, Autom..

[30]  Guang-Hong Yang,et al.  Event-triggered fault detection for discrete-time T-S fuzzy systems. , 2018, ISA transactions.

[31]  Engang Tian,et al.  Event-triggered non-fragile state estimation for delayed neural networks with randomly occurring sensor nonlinearity , 2018, Neurocomputing.

[32]  Xiangpeng Xie,et al.  Observer-Based Non-PDC Control for Networked T–S Fuzzy Systems With an Event-Triggered Communication , 2017, IEEE Transactions on Cybernetics.

[33]  Hongye Su,et al.  State estimation for discrete Markovian jumping neural networks with time delay , 2010, Neurocomputing.

[34]  S. Arik Global asymptotic stability of a class of dynamical neural networks , 2000 .

[35]  Dimos V. Dimarogonas,et al.  Event-triggered control for discrete-time systems , 2010, Proceedings of the 2010 American Control Conference.

[36]  Jian-Ning Li,et al.  Exponential synchronization of discrete-time mixed delay neural networks with actuator constraints and stochastic missing data , 2016, Neurocomputing.

[37]  Zhiwei Gao,et al.  Descriptor observer approaches for multivariable systems with measurement noises and application in fault detection and diagnosis , 2006, Syst. Control. Lett..

[38]  Dong Yang,et al.  Robust finite-time H∞ control for Markovian jump systems with partially known transition probabilities , 2013, J. Frankl. Inst..