Reduced order unknown input observer based distributed fault detection for multi-agent systems

Abstract This paper is devoted to the problem of distributed fault detection for multi-agent systems. A reduced order unknown input observer based fault detection method is proposed. By constructing reduced order unknown input observers in one agent, the fault in its neighbor can be detected. In the observer design process, only the measurement output of the neighbor agents is used. Two cases are considered. For the case that the observer matching condition is satisfied, the influence of unknown input on residual is removed completely; if this condition is not satisfied, the influence of a part of unknown input is removed, and the influence of the other part is attenuated. Compared with the existing results, the overall dimension of all the observers is decreased greatly. At last, two examples are given to show the effectiveness of the fault detection method.

[1]  Dan Zhang,et al.  Distributed fault detection for a class of large-scale systems with multiple incomplete measurements , 2015, J. Frankl. Inst..

[2]  Wei Wang,et al.  A PD-Like Protocol With a Time Delay to Average Consensus Control for Multi-Agent Systems Under an Arbitrarily Fast Switching Topology , 2017, IEEE Transactions on Cybernetics.

[3]  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..

[4]  Tao Wang,et al.  Incremental locally linear embedding-based fault detection for satellite attitude control systems , 2016, J. Frankl. Inst..

[5]  P. Frank,et al.  Survey of robust residual generation and evaluation methods in observer-based fault detection systems , 1997 .

[6]  Christopher Edwards,et al.  Robust Fault Estimation Using Relative Information in Linear Multi-Agent Networks , 2014, IEEE Transactions on Automatic Control.

[7]  Xian-Da Zhang,et al.  Matrix Analysis and Applications , 2017 .

[8]  Karl Henrik Johansson,et al.  Distributed fault detection for interconnected second-order systems , 2011, Autom..

[9]  Khashayar Khorasani,et al.  Actuator Fault Detection and Isolation for a Network of Unmanned Vehicles , 2009, IEEE Transactions on Automatic Control.

[10]  Ming-Can Fan,et al.  Distributed MPC based consensus for single-integrator multi-agent systems. , 2015, ISA transactions.

[11]  Jianchang Liu,et al.  A consensus-based multi-agent approach for estimation in robust fault detection. , 2014, ISA transactions.

[12]  James Lam,et al.  Consensus of multi-agent systems with Luenberger observers , 2013, J. Frankl. Inst..

[13]  Bin Jiang,et al.  Actuator fault estimation and accommodation for switched systems with time delay: Discrete-time case. , 2016, ISA transactions.

[14]  André Teixeira,et al.  Networked control systems under cyber attacks with applications to power networks , 2010, Proceedings of the 2010 American Control Conference.

[15]  Huaguang Zhang,et al.  Distributed Cooperative Optimal Control for Multiagent Systems on Directed Graphs: An Inverse Optimal Approach , 2015, IEEE Transactions on Cybernetics.

[16]  Yong-Yan Cao,et al.  A stable fault detection observer design in finite frequency domain , 2012, Proceedings of the 31st Chinese Control Conference.

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

[18]  Huaguang Zhang,et al.  Optimal Output Regulation for Heterogeneous Multiagent Systems via Adaptive Dynamic Programming , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[19]  Pierre Apkarian,et al.  Robust pole placement in LMI regions , 1999, IEEE Trans. Autom. Control..

[20]  Ji-Feng Zhang,et al.  Necessary and Sufficient Conditions for Consensusability of Linear Multi-Agent Systems , 2010, IEEE Transactions on Automatic Control.

[21]  Dong Wang,et al.  Cooperative Containment Control of Multiagent Systems Based on Follower Observers With Time Delay , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[22]  Wei Wang,et al.  Cooperative control for consensus of multi-agent systems with actuator faults , 2014, Comput. Electr. Eng..

[23]  Tingwen Huang,et al.  Leader-following exponential consensus of general linear multi-agent systems via event-triggered control with combinational measurements , 2015, Appl. Math. Lett..

[24]  Frank L. Lewis,et al.  Cooperative Optimal Control for Multi-Agent Systems on Directed Graph Topologies , 2014, IEEE Transactions on Automatic Control.

[25]  Chao Yang,et al.  Distributed containment control of fractional-order uncertain multi-agent systems , 2016, J. Frankl. Inst..

[26]  Hamid Reza Karimi,et al.  New Delay-Dependent Exponential $H_{\infty}$ Synchronization for Uncertain Neural Networks With Mixed Time Delays , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[27]  Zidong Wang,et al.  Distributed fault detection for a class of second-order multi-agent systems: an optimal robust observer approach , 2014 .

[28]  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.

[29]  Jian Han,et al.  Fault detection for high-order multi-agent systems with disturbances , 2015, The 27th Chinese Control and Decision Conference (2015 CCDC).

[30]  Huijun Gao,et al.  Finite-horizon estimation of randomly occurring faults for a class of nonlinear time-varying systems , 2014, Autom..

[31]  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.

[32]  Steven X. Ding,et al.  Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools , 2008 .

[33]  Wei Ren,et al.  Constrained Consensus in Unbalanced Networks With Communication Delays , 2014, IEEE Transactions on Automatic Control.

[34]  Jie Lian,et al.  Mean Stability of Positive Markov Jump Linear Systems With Homogeneous and Switching Transition Probabilities , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[35]  Henrik Sandberg,et al.  Distributed Fault Detection and Isolation Resilient to Network Model Uncertainties , 2014, IEEE Transactions on Cybernetics.