Resilient observer-based control for networked nonlinear T–S fuzzy systems with hybrid-triggered scheme

In this paper, the resilient observer-based output feedback controller is designed for a class of networked T–S fuzzy systems under a hybrid-triggered scheme and mismatched membership functions. In order to improve network bandwidth utilization, a hybrid-triggered scheme is introduced between the state observer and the controller, which is based on a switching between periodic sampling and an event-triggered scheme. Considering the inaccurate implementation of the parameters of the observer-based controller, a novel hybrid-triggered T–S fuzzy model is constructed. Sufficient conditions are established for the augmented fuzzy systems by using Lyapunov theory and the linear matrix inequality techniques. Furthermore, the observer-based controller gains are designed in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the usefulness of the proposed method.

[1]  Engang Tian,et al.  Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks , 2018, Appl. Math. Comput..

[2]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[3]  Lei Zou,et al.  Ultimate Boundedness Control for Networked Systems With Try-Once-Discard Protocol and Uniform Quantization Effects , 2017, IEEE Transactions on Automatic Control.

[4]  Choon Ki Ahn,et al.  Receding horizon disturbance attenuation for Takagi-Sugeno fuzzy switched dynamic neural networks , 2014, Inf. Sci..

[5]  Hak-Keung Lam,et al.  Observer-Based Fuzzy Control for Nonlinear Networked Systems Under Unmeasurable Premise Variables , 2016, IEEE Transactions on Fuzzy Systems.

[6]  Hong Lin,et al.  Optimal Estimation and Control for Lossy Network: Stability, Convergence, and Performance , 2017, IEEE Transactions on Automatic Control.

[7]  Shumin Fei,et al.  Hybrid-driven-based stabilisation for networked control systems , 2016 .

[8]  Qingling Zhang,et al.  Robust observer-based passive control for uncertain singular time-delay systems subject to actuator saturation. , 2017, ISA transactions.

[9]  Hongye Su,et al.  Optimal Estimation in UDP-Like Networked Control Systems With Intermittent Inputs: Stability Analysis and Suboptimal Filter Design , 2016, IEEE Transactions on Automatic Control.

[10]  Dong Yue,et al.  On designing of an adaptive event-triggered communication scheme for nonlinear networked interconnected control systems , 2018, Inf. Sci..

[11]  Laurent El Ghaoui,et al.  Robust Solutions to Least-Squares Problems with Uncertain Data , 1997, SIAM J. Matrix Anal. Appl..

[12]  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.

[13]  Ligang Wu,et al.  Fuzzy Tracking Control for Nonlinear Networked Systems , 2017, IEEE Transactions on Cybernetics.

[14]  Engang Tian,et al.  Co-design of event generator and filtering for a class of T-S fuzzy systems with stochastic sensor faults , 2015, Fuzzy Sets Syst..

[15]  Dong Yue,et al.  Further Studies on Control Synthesis of Discrete-Time T-S Fuzzy Systems via Augmented Multi-Indexed Matrix Approach , 2014, IEEE Transactions on Cybernetics.

[16]  Huijun Gao,et al.  Robust $H_{\infty }$ Self-Triggered Control of Networked Systems Under Packet Dropouts , 2016, IEEE Transactions on Cybernetics.

[17]  Engang Tian,et al.  Reliable control for hybrid-driven T-S fuzzy systems with actuator faults and probabilistic nonlinear perturbations , 2017, J. Frankl. Inst..

[18]  Dong Yue,et al.  Relaxed Stability and Stabilization Conditions of Networked Fuzzy Control Systems Subject to Asynchronous Grades of Membership , 2014, IEEE Transactions on Fuzzy Systems.

[19]  Bin Liu,et al.  Multi-Agent Based Hierarchical Hybrid Control for Smart Microgrid , 2013, IEEE Transactions on Smart Grid.

[20]  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.

[21]  Dong Yue,et al.  Finite-time distributed event-triggered consensus control for multi-agent systems , 2016, Inf. Sci..

[22]  Guo-Ping Liu,et al.  Consensus and Stability Analysis of Networked Multiagent Predictive Control Systems , 2017, IEEE Transactions on Cybernetics.

[23]  Habib Fardoun,et al.  A mismatched membership function approach to sampled-data stabilization for T-S fuzzy systems with time-varying delayed signals , 2017, Signal Process..

[24]  Choon Ki Ahn,et al.  Takagi-Sugeno fuzzy receding horizon H∞ chaotic synchronization and its application to the Lorenz system , 2013 .

[25]  Hongye Su,et al.  Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[26]  Fei Liu,et al.  Robust Finite-Time Bounded Controller Design of Time-Delay Conic Nonlinear Systems Using Sliding Mode Control Strategy , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[27]  Wei Xing Zheng,et al.  Observer-Based Control for Piecewise-Affine Systems With Both Input and Output Quantization , 2017, IEEE Transactions on Automatic Control.

[28]  Zhou Gu,et al.  Adaptive event-triggered control of a class of nonlinear networked systems , 2017, J. Frankl. Inst..

[29]  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.

[30]  Huiling Xu,et al.  Non-fragile finite-time filter design for time-delayed Markovian jumping systems via T–S fuzzy model approach , 2015 .

[31]  Ju H. Park.  On design of dynamic output feedback controller for GCS of large-scale systems with delays in interconnections: LMI optimization approach , 2005, Appl. Math. Comput..

[32]  Bao-Zhu Guo,et al.  Non-fragile H∞ filtering for delayed Takagi-Sugeno fuzzy systems with randomly occurring gain variations , 2017, Fuzzy Sets Syst..

[33]  Shuping He,et al.  Finite-time sliding mode control design for a class of uncertain conic nonlinear systems , 2017, IEEE/CAA Journal of Automatica Sinica.

[34]  Ju H. Park,et al.  Further Results on Stabilization of Chaotic Systems Based on Fuzzy Memory Sampled-Data Control , 2018, IEEE Transactions on Fuzzy Systems.

[35]  Qian Ma,et al.  Non-fragile observer-based H∞ control for stochastic time-delay systems , 2016, Appl. Math. Comput..

[36]  Dong Yue,et al.  Distributed adaptive output consensus control of a class of heterogeneous multi-agent systems under switching directed topologies , 2016, Inf. Sci..

[37]  Dong Yue,et al.  MAS-Based Management and Control Strategies for Integrated Hybrid Energy System , 2016, IEEE Transactions on Industrial Informatics.

[38]  Ju H. Park,et al.  Decentralized dynamic output feedback controller design for guaranteed cost stabilization of large-scale discrete-delay systems , 2004, Appl. Math. Comput..

[39]  Jie Cao,et al.  H∞ filtering for networked systems with hybrid-triggered communication mechanism and stochastic cyber attacks , 2017, J. Frankl. Inst..

[40]  Daniel W. C. Ho,et al.  Robust $H_{\infty }$ Fuzzy Output-Feedback Control With Multiple Probabilistic Delays and Multiple Missing Measurements , 2010, IEEE Transactions on Fuzzy Systems.

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