Sensor Fault Estimation for Lipschitz Nonlinear System with Disturbance

This paper considers the sensor fault estimation for Lipschitz nonlinear system with disturbance and immeasurable system state. A new system is constructed by treating sensor fault as a special state. And an observer is designed to reconstruct the state of the new system, which include the sensor fault occurred in the system and the original system state. Both the mod-elable disturbance and the unmodelable disturbance are considered. Disturbance observer is added to reconstruct the modelable disturbance, and $H^{\infty}$ performance is introduced to reduced the effect of the unmodelable disturbance. Simulation results are provided to verify this method.

[1]  Huaguang Zhang,et al.  Fault Estimation and Fault-Tolerant Control for Switched Fuzzy Stochastic Systems , 2018, IEEE Transactions on Fuzzy Systems.

[2]  Hamid Reza Karimi,et al.  Disturbance observer-based disturbance attenuation control for a class of stochastic systems , 2016, Autom..

[3]  Yuanqing Xia,et al.  Disturbance Observer-Based Integral Sliding-Mode Control for Systems With Mismatched Disturbances , 2016, IEEE Transactions on Industrial Electronics.

[4]  Peng Shi,et al.  Extended sliding mode observer based control for Markovian jump linear systems with disturbances , 2016, Autom..

[5]  Hamid Reza Karimi,et al.  Anti-disturbance control based on disturbance observer for nonlinear systems with bounded disturbances , 2018, J. Frankl. Inst..

[6]  Rongrong Wang,et al.  Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model , 2017, J. Frankl. Inst..

[7]  Jian Han,et al.  Global asymptotic regulation control for MIMO mechanical systems with unknown model parameters and disturbances , 2019, Nonlinear Dynamics.

[8]  Huaguang Zhang,et al.  Disturbance observer based fault estimation and dynamic output feedback fault tolerant control for fuzzy systems with local nonlinear models. , 2015, ISA transactions.

[9]  Guang-Hong Yang,et al.  Input‐output based fault estimation for linear systems with partially dynamic uncertainty and actuator faults , 2016 .

[10]  Long Wang,et al.  Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey , 2017, IEEE Transactions on Industrial Electronics.

[11]  Jian Han,et al.  Reduced-order observer based fault estimation and fault-tolerant control for switched stochastic systems with actuator and sensor faults. , 2019, ISA transactions.

[12]  Jun Zhao,et al.  Cooperative Adaptive Fuzzy Tracking Control for Networked Unknown Nonlinear Multiagent Systems With Time-Varying Actuator Faults , 2014, IEEE Transactions on Fuzzy Systems.

[13]  Peng Shi,et al.  A New Approach to Observer-Based Fault-Tolerant Controller Design for Takagi-Sugeno Fuzzy Systems with State Delay , 2009, Circuits Syst. Signal Process..

[14]  Xianwen Gao,et al.  Distributed Fault Estimation for a Class of Nonlinear Multiagent Systems , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches , 2015, IEEE Transactions on Industrial Electronics.

[16]  Lei Guo,et al.  Anti-disturbance control theory for systems with multiple disturbances: a survey. , 2014, ISA transactions.

[17]  Hamid Reza Karimi,et al.  Composite fault-tolerant control with disturbance observer for stochastic systems with multiple disturbances , 2018, J. Frankl. Inst..

[18]  Huaguang Zhang,et al.  Sensor Fault Estimation of Switched Fuzzy Systems With Unknown Input , 2018, IEEE Transactions on Fuzzy Systems.

[19]  Jian Han,et al.  Intermediate Observer-Based Robust Distributed Fault Estimation for Nonlinear Multiagent Systems With Directed Graphs , 2020, IEEE Transactions on Industrial Informatics.

[20]  Steven X. Ding,et al.  Fuzzy State/Disturbance Observer Design for T–S Fuzzy Systems With Application to Sensor Fault Estimation , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Zhang Jinhui,et al.  Disturbance observer based integral sliding mode control for systems with mismatched disturbances , 2015, 2015 34th Chinese Control Conference (CCC).

[22]  Huaguang Zhang,et al.  Dissipativity-Based Fault Detection for Uncertain Switched Fuzzy Systems With Unmeasurable Premise Variables , 2019, IEEE Transactions on Fuzzy Systems.

[23]  Jian Han,et al.  Observer-based fault detection for high-order nonlinear multi-agent systems , 2016, J. Frankl. Inst..

[24]  Ke Zhang,et al.  Observer-Based Fault Estimation Techniques , 2017 .

[25]  Huaguang Zhang,et al.  Robust Fault Detection for Switched Fuzzy Systems With Unknown Input , 2018, IEEE Transactions on Cybernetics.

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

[27]  Chee Pin Tan,et al.  Sliding mode observers for fault detection and isolation , 2002 .

[28]  ShiPeng,et al.  A New Approach to Observer-Based Fault-Tolerant Controller Design for Takagi-Sugeno Fuzzy Systems with State Delay , 2009 .

[29]  Huai-Ning Wu,et al.  Robust $L_{\bm \infty}$-Gain Fuzzy Disturbance Observer-Based Control Design With Adaptive Bounding for a Hypersonic Vehicle , 2014, IEEE Transactions on Fuzzy Systems.

[30]  Huaguang Zhang,et al.  Fault-Tolerant Control of a Nonlinear System Based on Generalized Fuzzy Hyperbolic Model and Adaptive Disturbance Observer , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Huaguang Zhang,et al.  Robust state/fault estimation and fault tolerant control for T-S fuzzy systems with sensor and actuator faults , 2016, J. Frankl. Inst..