Fault-Tolerant Consensus of Multi-Agent System With Distributed Adaptive Protocol

In this paper, fault-tolerant consensus in multi-agent system using distributed adaptive protocol is investigated. Firstly, distributed adaptive online updating strategies for some parameters are proposed based on local information of the network structure. Then, under the online updating parameters, a distributed adaptive protocol is developed to compensate the fault effects and the uncertainty effects in the leaderless multi-agent system. Based on the local state information of neighboring agents, a distributed updating protocol gain is developed which leads to a fully distributed continuous adaptive fault-tolerant consensus protocol design for the leaderless multi-agent system. Furthermore, a distributed fault-tolerant leader-follower consensus protocol for multi-agent system is constructed by the proposed adaptive method. Finally, a simulation example is given to illustrate the effectiveness of the theoretical analysis.

[1]  M. Fiedler Algebraic connectivity of graphs , 1973 .

[2]  Anuradha M. Annaswamy,et al.  Robust Adaptive Control , 1984, 1984 American Control Conference.

[3]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[4]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[5]  G. J. Rogers,et al.  A fundamental study of inter-area oscillations in power systems , 1991 .

[6]  Marios M. Polycarpou,et al.  A Robust Adaptive Nonlinear Control Design , 1993, 1993 American Control Conference.

[7]  Yury Stepanenko,et al.  A Sliding Mode Controller with Improved Adaptation Laws for the Upper Bounds on the Norm of Uncertainties , 1998, Autom..

[8]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[9]  Paulo Fernandes,et al.  Efficient descriptor-vector multiplications in stochastic automata networks , 1998, JACM.

[10]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

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

[12]  Keith E. Holbert,et al.  Use of Satellite Technologies for Power System Measurements, Command, and Control , 2005, Proceedings of the IEEE.

[13]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[14]  Marcel Staroswiecki,et al.  Fault Accommodation for Nonlinear Dynamic Systems , 2006, IEEE Transactions on Automatic Control.

[15]  Steven X. Ding,et al.  Actuator fault robust estimation and fault-tolerant control for a class of nonlinear descriptor systems , 2007, Autom..

[16]  Steven X. Ding,et al.  State and Disturbance Estimator for Time-Delay Systems With Application to Fault Estimation and Signal Compensation , 2007, IEEE Transactions on Signal Processing.

[17]  D. Ho,et al.  Local and global synchronization in general complex dynamical networks with delay coupling , 2008 .

[18]  S. E. Tuna LQR-based coupling gain for synchronization of linear systems , 2008, 0801.3390.

[19]  Ligang Wu,et al.  Exponential stabilization of switched stochastic dynamical networks , 2009 .

[20]  Daniel W. C. Ho,et al.  Fuzzy Filter Design for ItÔ Stochastic Systems With Application to Sensor Fault Detection , 2009, IEEE Transactions on Fuzzy Systems.

[21]  Yuanqing Xia,et al.  Adaptive Backstepping Controller Design for Stochastic Jump Systems , 2009, IEEE Transactions on Automatic Control.

[22]  Daniel W. C. Ho,et al.  Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation , 2010, Autom..

[23]  Lin Huang,et al.  Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint , 2016, IEEE Transactions on Circuits and Systems I: Regular Papers.

[24]  Zehui Mao,et al.  Fault-tolerant control for a class of nonlinear sampled-data systems via a Euler approximate observer , 2010, Autom..

[25]  Yufei Xu,et al.  Adaptive Fault-Tolerant Tracking Control of Near-Space Vehicle Using Takagi–Sugeno Fuzzy Models , 2010, IEEE Transactions on Fuzzy Systems.

[26]  Wenwu Yu,et al.  Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems , 2010, Autom..

[27]  Ziyang Meng,et al.  Distributed Containment Control for Multiple Autonomous Vehicles With Double-Integrator Dynamics: Algorithms and Experiments , 2011, IEEE Transactions on Control Systems Technology.

[28]  Frank L. Lewis,et al.  Optimal Design for Synchronization of Cooperative Systems: State Feedback, Observer and Output Feedback , 2011, IEEE Transactions on Automatic Control.

[29]  D. Ho,et al.  Stabilization of complex dynamical networks with noise disturbance under performance constraint , 2011 .

[30]  Manh Hung Nguyen,et al.  A COMBINATION TRUST MODEL FOR MULTI-AGENT SYSTEMS , 2013 .

[31]  Xiao Fan Wang,et al.  Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks , 2013, IEEE Transactions on Cybernetics.

[32]  Mengyin Fu,et al.  Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols , 2011, IEEE Transactions on Automatic Control.

[33]  Ligang Wu,et al.  Sensor Networks With Random Link Failures: Distributed Filtering for T–S Fuzzy Systems , 2013, IEEE Transactions on Industrial Informatics.

[34]  Wei Ren,et al.  Distributed consensus of linear multi-agent systems with adaptive dynamic protocols , 2011, Autom..

[35]  Yugang Niu,et al.  Adaptive sliding mode control for stochastic Markovian jumping systems with actuator degradation , 2013, Autom..

[36]  Huijun Gao,et al.  Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings , 2013, IEEE Transactions on Cybernetics.

[37]  G. Tao,et al.  ON FAST TERMINAL SLIDING MODE CONTROL FOR A HELICOPTER VIA QUANTUM INFORMATION TECHNIQUE AND NONLINEAR FAULT OBSERVER , 2013 .

[38]  Daniel W. C. Ho,et al.  A Unified Approach to Practical Consensus with Quantized Data and Time Delay , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[39]  Hamid Reza Karimi,et al.  $H_{\infty}$ Consensus and Synchronization of Nonlinear Systems Based on A Novel Fuzzy Model , 2013, IEEE Transactions on Cybernetics.

[40]  Jinde Cao,et al.  $M$-Matrix Strategies for Pinning-Controlled Leader-Following Consensus in Multiagent Systems With Nonlinear Dynamics , 2013, IEEE Transactions on Cybernetics.

[41]  Lei Zhou,et al.  Consensus in Multi-Agent Systems With Second-Order Dynamics and Sampled Data , 2013, IEEE Transactions on Industrial Informatics.

[42]  Peng Shi,et al.  Distributed Finite-Time Containment Control for Double-Integrator Multiagent Systems , 2014, IEEE Transactions on Cybernetics.

[43]  Yongsheng Ding,et al.  Bidirectional Optimization of the Melting Spinning Process , 2014, IEEE Transactions on Cybernetics.

[44]  Shengyuan Xu,et al.  A distributed event-triggered scheme for discrete-time multi-agent consensus with communication delays , 2014 .

[45]  Zhong-Ping Jiang,et al.  Adaptive output feedback tracking control of a nonholonomic mobile robot , 2014, Autom..