Adaptive Event-Triggered Fault Detection Scheme for Semi-Markovian Jump Systems With Output Quantization

This paper examines the adaptive event-triggered fault detection problem of semi-Markovian jump systems (S-MJSs) with output quantization. First, we develop an adaptive event-triggered scheme for S-MJSs that is more effective than conventional event-triggered strategy for decreasing network transmission information. Meanwhile, we design a new adaptive law that can dynamically adjust the event-triggered threshold. Second, we consider output signal quantization and transmission delay in the proposed fault detection scheme. Moreover, we establish novel sufficient conditions for the stochastic stability in the proposed fault detection scheme with an H∞ performance with the help of linear matrix inequalities (LMIs). Finally, we provide simulation results to demonstrate the usefulness of the developed theoretical results.

[1]  K. Loparo,et al.  Stochastic stability properties of jump linear systems , 1992 .

[2]  Shouming Zhong,et al.  Novel master-slave synchronization criteria of chaotic Lur'e systems with time delays using sampled-data control , 2017, J. Frankl. Inst..

[3]  Sarangapani Jagannathan,et al.  Event-Triggered Distributed Approximate Optimal State and Output Control of Affine Nonlinear Interconnected Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Wei He,et al.  Cooperative Adaptive Event-Triggered Control for Multiagent Systems With Actuator Failures , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[5]  Yan-Jun Liu,et al.  Formation Control With Obstacle Avoidance for a Class of Stochastic Multiagent Systems , 2018, IEEE Transactions on Industrial Electronics.

[6]  Shouming Zhong,et al.  Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays , 2017, Appl. Math. Comput..

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

[8]  Choon Ki Ahn,et al.  Robust Simultaneous Fault Estimation and Nonfragile Output Feedback Fault-Tolerant Control for Markovian Jump Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[9]  Xiaodi Li,et al.  Stability of nonlinear differential systems with state-dependent delayed impulses , 2016, Autom..

[10]  Yuanqing Xia,et al.  Stabilization of fuzzy systems with quantization and packet dropout , 2014 .

[11]  Huijun Gao,et al.  Distributed Filtering for a Class of Time-Varying Systems Over Sensor Networks With Quantization Errors and Successive Packet Dropouts , 2012, IEEE Transactions on Signal Processing.

[12]  Qing-Long Han,et al.  Network-Based Heading Control and Rudder Oscillation Reduction for Unmanned Surface Vehicles , 2017, IEEE Transactions on Control Systems Technology.

[13]  Ligang Wu,et al.  Event-triggered sliding mode control of stochastic systems via output feedback , 2017, Autom..

[14]  Xinzhi Liu,et al.  A novel approach to stability and stabilization of fuzzy sampled-data Markovian chaotic systems , 2017, Fuzzy Sets Syst..

[15]  Ligang Wu,et al.  State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties , 2015, Autom..

[16]  Shengyuan Xu,et al.  Fault Detection for Nonlinear Discrete-Time Switched Systems With Persistent Dwell Time , 2018, IEEE Transactions on Fuzzy Systems.

[17]  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.

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

[19]  Avimanyu Sahoo,et al.  A Min–Max Approach to Event- and Self-Triggered Sampling and Regulation of Linear Systems , 2019, IEEE Transactions on Industrial Electronics.

[20]  Hongjing Liang,et al.  Prescribed Performance Cooperative Control for Multiagent Systems With Input Quantization , 2020, IEEE Transactions on Cybernetics.

[21]  Baocang Ding,et al.  Model predictive control of linear systems over networks with data quantizations and packet losses , 2013, Autom..

[22]  S. Meyn,et al.  Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes , 1993, Advances in Applied Probability.

[23]  Peng Shi,et al.  Event-Triggered Fault Detection Filter Design for a Continuous-Time Networked Control System , 2016, IEEE Transactions on Cybernetics.

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

[25]  Hongyi Li,et al.  Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone , 2019, Autom..

[26]  Satyajayant Misra,et al.  Finite‐time stability and stabilization of semi‐Markovian jump systems with time delay , 2018 .

[27]  Yueying Wang,et al.  A sliding mode approach to stabilization of nonlinear Markovian jump singularly perturbed systems , 2018, Autom..

[28]  Jinde Cao,et al.  An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications , 2017, IEEE Transactions on Automatic Control.

[29]  Sarangapani Jagannathan,et al.  Event-Sampled Direct Adaptive NN Output- and State-Feedback Control of Uncertain Strict-Feedback System , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[30]  Khashayar Khorasani,et al.  A Geometric Approach to Fault Detection and Isolation of Continuous-Time Markovian Jump Linear Systems , 2010, IEEE Transactions on Automatic Control.

[31]  Yonghui Sun,et al.  Stochastic stability of Markovian switching genetic regulatory networks , 2009 .

[32]  Hong Wang,et al.  Fault Estimation for a Class of Nonlinear Systems Based on Intermediate Estimator , 2016, IEEE Transactions on Automatic Control.

[33]  Cheng-Chew Lim,et al.  Event‐triggered control for networked Markovian jump systems , 2015 .

[34]  Qing-Long Han,et al.  Network-Based T–S Fuzzy Dynamic Positioning Controller Design for Unmanned Marine Vehicles , 2018, IEEE Transactions on Cybernetics.

[35]  Sarangapani Jagannathan,et al.  Event-Sampled Output Feedback Control of Robot Manipulators Using Neural Networks , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Hamid Reza Karimi,et al.  Fault detection for nonlinear networked systems based on quantization and dropout compensation: An interval type-2 fuzzy-model method , 2016, Neurocomputing.

[37]  Shouming Zhong,et al.  Quantized Sampled-Data Control for Synchronization of Inertial Neural Networks With Heterogeneous Time-Varying Delays , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[38]  Qi Zhou,et al.  Observer-Based Adaptive Event-Triggered Control for Nonstrict-Feedback Nonlinear Systems With Output Constraint and Actuator Failures , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  Qing-Guo Wang,et al.  Exponential Synchronization of Neural Networks With Time-Varying Delays via Dynamic Intermittent Output Feedback Control , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  Gang Feng,et al.  Observer-Based Output Feedback Event-Triggered Control for Consensus of Multi-Agent Systems , 2014, IEEE Transactions on Industrial Electronics.

[41]  Hongjing Liang,et al.  Adaptive Distributed Observer Approach for Cooperative Containment Control of Nonidentical Networks , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[42]  Hongjing Liang,et al.  Event-Triggered Adaptive Tracking Control for Multiagent Systems With Unknown Disturbances , 2020, IEEE Transactions on Cybernetics.

[43]  Yan-Jun Liu,et al.  Neural Network-Based Adaptive Leader-Following Consensus Control for a Class of Nonlinear Multiagent State-Delay Systems , 2017, IEEE Transactions on Cybernetics.

[44]  Hongjing Liang,et al.  Adaptive Event-Triggered Output Feedback Fuzzy Control for Nonlinear Networked Systems With Packet Dropouts and Actuator Failure , 2019, IEEE Transactions on Fuzzy Systems.

[45]  Renquan Lu,et al.  Adaptive Neural Network Tracking Control for Robotic Manipulators With Dead Zone , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[46]  Kishor S. Trivedi,et al.  Optimization for condition-based maintenance with semi-Markov decision process , 2005, Reliab. Eng. Syst. Saf..

[47]  Dragan Nesic,et al.  A Unified Framework for Design and Analysis of Networked and Quantized Control Systems , 2009, IEEE Transactions on Automatic Control.

[48]  Yuxin Zhao,et al.  Fault Estimation Sliding-Mode Observer With Digital Communication Constraints , 2018, IEEE Transactions on Automatic Control.

[49]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.

[50]  Avimanyu Sahoo,et al.  Stochastic Optimal Regulation of Nonlinear Networked Control Systems by Using Event-Driven Adaptive Dynamic Programming , 2017, IEEE Transactions on Cybernetics.

[51]  Guo-Xing Wen,et al.  Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems , 2016, IEEE Transactions on Cybernetics.

[52]  Ligang Wu,et al.  Event-Triggered Fault Detection of Nonlinear Networked Systems , 2017, IEEE Transactions on Cybernetics.

[53]  Yuanqing Xia,et al.  Exponential Stabilization of Takagi–Sugeno Fuzzy Systems With Aperiodic Sampling: An Aperiodic Adaptive Event-Triggered Method , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[54]  Min Wu,et al.  Dissipativity Analysis for Singular Time-Delay Systems Via State Decomposition Method , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[55]  Ligang Wu,et al.  Stochastic stability of semi‐Markovian jump systems with mode‐dependent delays , 2014 .

[56]  Hamid Reza Karimi,et al.  Fault estimation for a class of nonlinear semi‐Markovian jump systems with partly unknown transition rates and output quantization , 2018, International Journal of Robust and Nonlinear Control.

[57]  Qing-Long Han,et al.  Network-based modelling and dynamic output feedback control for unmanned marine vehicles in network environments , 2018, Autom..

[58]  Zheng-Guang Wu,et al.  Filtering for Discrete-Time Switched Fuzzy Systems With Quantization , 2017, IEEE Transactions on Fuzzy Systems.

[59]  Yang Shi,et al.  Stochastic stability and robust stabilization of semi‐Markov jump linear systems , 2013 .