Dissipative Fuzzy Filtering for Nonlinear Networked Systems With Limited Communication Links

This paper aims to design a dissipative fuzzy filter for a class of discrete-time nonlinear networked systems. In order to adopt the limited communication links, we employ an event-triggered scheme to reduce the number of transmitted data in the network by preventing the unnecessary ones from releasing. Due to the digital channel, the data to be transmitted should be quantized and a logarithmic quantizer is employed. Then, when the part of released data is transmitted in the network, data losses is captured by a Bernoulli process. Consequently, the uncomplete data sequence is compensated by the buffer and then send to the filter. During this process, a new random series is developed to help constructing the filtering systems. Thus, a novel method is presented to guarantee the filter error system to be dissipative based on the T–S fuzzy model approach. Finally, an example concerned with Henon mapping system is provided to verify the validity of the proposed design method.

[1]  Jianbin Qiu,et al.  Network-Based Fuzzy Control for Nonlinear Industrial Processes With Predictive Compensation Strategy , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Renquan Lu,et al.  Networked Control With State Reset and Quantized Measurements: Observer-Based Case , 2013, IEEE Transactions on Industrial Electronics.

[3]  Felipe Valencia,et al.  Robust Energy Management System for a Microgrid Based on a Fuzzy Prediction Interval Model , 2016, IEEE Transactions on Smart Grid.

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

[5]  Guang-Hong Yang,et al.  $H_{\infty }$ Filtering for Continuous-Time T–S Fuzzy Systems With Partly Immeasurable Premise Variables , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[6]  WangZidong,et al.  Robust H∞ filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts , 2010 .

[7]  Huaguang Zhang,et al.  Dissipativity Analysis and Synthesis for a Class of T–S Fuzzy Descriptor Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Zidong Wang,et al.  Quantized $H_{\infty }$ Control for Nonlinear Stochastic Time-Delay Systems With Missing Measurements , 2012, IEEE Transactions on Automatic Control.

[9]  Chen Peng,et al.  Event-triggered communication and H∞H∞ control co-design for networked control systems , 2013, Autom..

[10]  Shaocheng Tong,et al.  Composite Adaptive Fuzzy Output Feedback Control Design for Uncertain Nonlinear Strict-Feedback Systems With Input Saturation , 2015, IEEE Transactions on Cybernetics.

[11]  Guang-Hong Yang,et al.  Event-triggered fuzzy control for nonlinear networked control systems , 2017, Fuzzy Sets Syst..

[12]  Ligang Wu,et al.  Reliable Filtering With Strict Dissipativity for T-S Fuzzy Time-Delay Systems , 2014, IEEE Transactions on Cybernetics.

[13]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[14]  Guang-Hong Yang,et al.  Event-Triggered Fault Detection Filter Design for Nonlinear Networked Systems , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  Jianbin Qiu,et al.  Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems , 2016, IEEE Transactions on Fuzzy Systems.

[16]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[17]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Dynamic Surface Control of Interconnected Nonlinear Pure-Feedback Systems , 2015, IEEE Transactions on Cybernetics.

[18]  De Xu,et al.  Embedded Vision-Guided 3-D Tracking Control for Robotic Fish , 2016, IEEE Transactions on Industrial Electronics.

[19]  Shaocheng Tong,et al.  Hybrid Fuzzy Adaptive Output Feedback Control Design for Uncertain MIMO Nonlinear Systems With Time-Varying Delays and Input Saturation , 2016, IEEE Transactions on Fuzzy Systems.

[20]  Huijun Gao,et al.  H∞ Fuzzy Control of Nonlinear Systems Under Unreliable Communication Links , 2009, IEEE Trans. Fuzzy Syst..

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

[22]  Ju H. Park,et al.  Reliable dissipative control for Markov jump systems using an event-triggered sampling information scheme , 2017 .

[23]  Dong Yue,et al.  To Transmit or Not to Transmit: A Discrete Event-Triggered Communication Scheme for Networked Takagi–Sugeno Fuzzy Systems , 2013, IEEE Transactions on Fuzzy Systems.

[24]  Huijun Gao,et al.  Robust $H_{\infty}$ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts , 2010, IEEE Transactions on Signal Processing.

[25]  Jianbin Qiu,et al.  Recent Advances on Fuzzy-Model-Based Nonlinear Networked Control Systems: A Survey , 2016, IEEE Transactions on Industrial Electronics.

[26]  Shaocheng Tong,et al.  Adaptive fuzzy control for a class of unknown nonlinear dynamical systems , 2015, Fuzzy Sets Syst..

[27]  Fuwen Yang,et al.  $H_{\infty }$ Fault Detection for Networked Mechanical Spring-Mass Systems With Incomplete Information , 2016, IEEE Transactions on Industrial Electronics.

[28]  Guang-Hong Yang,et al.  Observer-Based Output Feedback Control for Discrete-Time T-S Fuzzy Systems With Partly Immeasurable Premise Variables , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[29]  Fang Wu,et al.  Networked Control With Reset Quantized State Based on Bernoulli Processing , 2014, IEEE Transactions on Industrial Electronics.

[30]  Jianbin Qiu,et al.  Event-Triggered Nonsynchronized $\mathcal {H}_{\infty }$ Filtering for Discrete-Time T–S Fuzzy Systems Based on Piecewise Lyapunov Functions , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Ligang Wu,et al.  A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[32]  Hao Shen,et al.  A Markov jump model approach to reliable event-triggered retarded dynamic output feedback H∞ control for networked systems , 2017 .

[33]  Qing-Long Han,et al.  Network-Based Output Tracking Control for a Class of T-S Fuzzy Systems That Can Not Be Stabilized by Nondelayed Output Feedback Controllers , 2015, IEEE Transactions on Cybernetics.

[34]  Dong Yue,et al.  A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems , 2013, IEEE Transactions on Automatic Control.

[35]  Dan Ye,et al.  Transmission-Dependent Fault Detection and Isolation Strategy for Networked Systems Under Finite Capacity Channels , 2017, IEEE Transactions on Cybernetics.

[36]  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.

[37]  Zidong Wang,et al.  Distributed Filtering for Fuzzy Time-Delay Systems With Packet Dropouts and Redundant Channels , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[38]  Huijun Gao,et al.  Event-Based $H_{\infty}$ Filter Design for a Class of Nonlinear Time-Varying Systems With Fading Channels and Multiplicative Noises , 2015, IEEE Transactions on Signal Processing.

[39]  Fuwen Yang,et al.  H∞ filtering for nonlinear networked systems with randomly occurring distributed delays, missing measurements and sensor saturation , 2016, Inf. Sci..

[40]  Qing-Guo Wang,et al.  Fuzzy-Model-Based Fault Detection for a Class of Nonlinear Systems With Networked Measurements , 2013, IEEE Transactions on Instrumentation and Measurement.

[41]  Shuzhi Sam Ge,et al.  Cooperative control of a nonuniform gantry crane with constrained tension , 2016, Autom..

[42]  Peter F. Al-Hokayem Stability Analysis of Networked Control Systems , 2003 .

[43]  James Lam,et al.  Stabilization of Networked Control Systems via Dynamic Output-Feedback Controllers , 2010, SIAM J. Control. Optim..

[44]  Dong Yue,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems via a Multi-Instant Homogenous Polynomial Approach , 2016, IEEE Transactions on Cybernetics.

[45]  Hui Zhang,et al.  State Estimation of Discrete-Time Takagi–Sugeno Fuzzy Systems in a Network Environment , 2015, IEEE Transactions on Cybernetics.

[46]  Songlin Hu,et al.  Network-based H∞ control for T-S fuzzy systems with an adaptive event-triggered communication scheme , 2017, Fuzzy Sets Syst..

[47]  Peng Shi,et al.  Theory of Stochastic Dissipative Systems , 2011, IEEE Transactions on Automatic Control.

[48]  Jianbin Qiu,et al.  A New Design of $H$ -Infinity Piecewise Filtering for Discrete-Time Nonlinear Time-Varying Delay Systems via T–S Fuzzy Affine Models , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[49]  Lihua Xie,et al.  Robust dissipative control for linear systems with dissipative uncertainty and nonlinear perturbation , 1997 .

[50]  Peng Shi,et al.  Energy-Efficient Distributed Filtering in Sensor Networks: A Unified Switched System Approach , 2017, IEEE Transactions on Cybernetics.