Fault estimation for networks of non-homogeneous agents with switching topologies

Abstract In this study, the problem of distributed fault estimation for multi-agent systems with switching topologies is investigated. Firstly, a ”switched virtual model” based on local information is used to represent the model of each agent. Then, some coordinate transformations are proposed to decouple a sub-state of the virtual model from faults. Next, a local impulsive switched observer is designed for each agent in order to estimate the state. Sufficient conditions for the solvability of the observer design are provided in LMIs form. Finally, the faults are estimated by combining the estimated states and a robust exact differentiator based on sliding mode technique. In this proposal, each agent estimates its own faults and those of its neighbors. The effectiveness is illustrated by a simulation example of a team of Unmanned Aerial Vehicles (UAVs).

[1]  Khashayar Khorasani,et al.  Fault Detection and Isolation of discrete-time Markovian jump linear systems with application to a network of multi-agent systems having imperfect communication channels , 2009, Autom..

[2]  Chiara Ravazzi,et al.  Distributed randomized algorithms for opinion formation, centrality computation and power systems estimation: A tutorial overview , 2015, Eur. J. Control.

[3]  Ying Yang,et al.  Cooperative fault estimation for linear multi-agent systems with undirected graphs , 2016 .

[4]  Didier Theilliol,et al.  Review of two non-centralized observer-based diagnosis schemes for interconnected systems , 2018 .

[5]  Donghua Zhou,et al.  A survey of fault diagnosis for swarm systems , 2014 .

[6]  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.

[7]  Chun Liu,et al.  Hierarchical-Structure-Based Fault Estimation and Fault-Tolerant Control for Multiagent Systems , 2019, IEEE Transactions on Control of Network Systems.

[8]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[9]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part II: Fault Diagnosis With Knowledge-Based and Hybrid/Active Approaches , 2015, IEEE Transactions on Industrial Electronics.

[10]  E.M. Atkins,et al.  A survey of consensus problems in multi-agent coordination , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[12]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[13]  Shaocheng Tong,et al.  Homogenous Polynomially Parameter-Dependent $H_{ \infty}$ Filter Designs of Discrete-Time Fuzzy Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Huaguang Zhang,et al.  Leader-Based Optimal Coordination Control for the Consensus Problem of Multiagent Differential Games via Fuzzy Adaptive Dynamic Programming , 2015, IEEE Transactions on Fuzzy Systems.

[15]  P. Gahinet,et al.  H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..

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

[17]  Heidar Ali Talebi,et al.  Distributed Fault Detection and Isolation Filter Design for a Network of Heterogeneous Multiagent Systems , 2014, IEEE Transactions on Control Systems Technology.

[18]  Bijoy K. Ghosh,et al.  A novel optimal bipartite consensus control scheme for unknown multi-agent systems via model-free reinforcement learning , 2020, Appl. Math. Comput..

[19]  Noureddine Manamanni,et al.  Consensus of Multi-Agent Systems in Clustered Networks , 2019, 2019 18th European Control Conference (ECC).

[20]  Xinzhi Liu,et al.  Some novel approaches on state estimation of delayed neural networks , 2016, Inf. Sci..

[21]  Jie Chen,et al.  Distributed Cooperative Fault Detection for Multiagent Systems: A Mixed $H_{\infty }/H_2$ Optimization Approach , 2018, IEEE Transactions on Industrial Electronics.

[22]  M. Hautus Strong detectability and observers , 1983 .

[23]  Behzad Sinafar,et al.  Distributed fault estimation for multi-agent systems using relative measurements — Distributed adaptive observer approach , 2017, 2017 2nd International Conference on System Reliability and Safety (ICSRS).

[24]  Alessandro Casavola,et al.  A Generic Strategy for Fault-Tolerance in Control Systems Distributed Over a Network , 2007, Eur. J. Control.

[25]  Dimos V. Dimarogonas,et al.  Distributed $\ell _1$-State-and-Fault Estimation for Multiagent Systems , 2020, IEEE Transactions on Control of Network Systems.

[26]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[27]  Filippo Arrichiello,et al.  Observer-Based Decentralized Fault Detection and Isolation Strategy for Networked Multirobot Systems , 2015, IEEE Transactions on Control Systems Technology.

[28]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[29]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control , 2015, Autom..

[30]  Khashayar Khorasani,et al.  Simultaneous fault detection and control design for a network of multi-agent systems , 2014, 2014 European Control Conference (ECC).

[31]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[32]  N. Manamanni,et al.  Simultaneous estimation of the state and the unknown inputs for a class of switched linear systems , 2015, 2015 3rd International Conference on Control, Engineering & Information Technology (CEIT).

[33]  Nader Meskin,et al.  Distributed state estimation, fault detection and isolation filter design for heterogeneous multi-agent linear parameter-varying systems , 2017 .

[34]  Ke Zhang,et al.  Distributed fault estimation observer design for multi-agent systems with switching topologies , 2017 .

[35]  Khashayar Khorasani,et al.  Simultaneous fault detection and consensus control design for a network of multi-agent systems , 2016, Autom..

[36]  Weixin Han,et al.  Robust fault estimation in the finite-frequency domain for multi-agent systems , 2019, Trans. Inst. Meas. Control.

[37]  Noureddine Manamanni,et al.  A distributed fault detection observer-based approach for a network of multi-agent systems with switching topologies , 2017, 2017 11th Asian Control Conference (ASCC).

[38]  Alessandro Pisano,et al.  Switched Observers for Switched Linear Systems With Unknown Inputs , 2011, IEEE Transactions on Automatic Control.

[39]  Pascal Gahinet,et al.  H/sub /spl infin// design with pole placement constraints: an LMI approach , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[40]  Peng Shi,et al.  Adjustable Parameter-Based Distributed Fault Estimation Observer Design for Multiagent Systems With Directed Graphs , 2017, IEEE Transactions on Cybernetics.

[41]  Alexander S. Poznyak,et al.  Unknown Input and State Estimation for Unobservable Systems , 2009, SIAM J. Control. Optim..

[42]  B. Molinari A strong controllability and observability in linear multivariable control , 1976 .

[43]  W. M. Wonham,et al.  Decentralized fault diagnosis for discrete-event systems , 2000 .

[44]  Bin Jiang,et al.  Adaptive technique-based distributed fault estimation observer design for multi-agent systems with directed graphs , 2015 .

[45]  Ke Zhang,et al.  Distributed fault estimation basing on a united adaptive and sliding-mode observer for multi-agent systems , 2016, 2016 IEEE Chinese Guidance, Navigation and Control Conference (CGNCC).

[46]  Qinghe Wu,et al.  Stochastic consensus of leader-following multi-agent systems under additive measurement noises and time-delays , 2015, Eur. J. Control.

[47]  A.G. Aghdam,et al.  On observer design for a class of impulsive switched systems , 2008, 2008 American Control Conference.