Distributed adaptive fault-tolerant control approach to cooperative output regulation for linear multi-agent systems

Abstract In this paper, the cooperative output regulation problem for linear multi-agent systems with actuator faults is considered. It is assumed that the actuator faults are outage faults and loss-of-effectiveness faults. First, a distributed finite-time observer is designed to estimate the state of the exosystem. Based on the state of the finite-time observer, a distributed adaptive fault-tolerant controller is designed. Then, it is shown that the cooperative output regulation problem can be solved with the proposed fault-tolerant controller. Compared with the existing cooperative output regulation results, a novel lemma is introduced to guarantee the solvability of the regulator equations under actuator faults, and the developed controller is effective to compensate the actuator faults. Finally, a simulation example is presented to show the validity of the proposed method.

[1]  Guang-Hong Yang,et al.  Reliable $H_{\infty}$ Control of Linear Systems With Adaptive Mechanism , 2010, IEEE Transactions on Automatic Control.

[2]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[3]  Zhengtao Ding,et al.  Adaptive consensus output regulation of a class of nonlinear systems with unknown high-frequency gain , 2015, Autom..

[4]  D. Luenberger.  Canonical forms for linear multivariable systems , 1967, IEEE Transactions on Automatic Control.

[5]  Jie Huang,et al.  Cooperative Output Regulation of Linear Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[6]  Jie Huang,et al.  Cooperative Output Regulation With Application to Multi-Agent Consensus Under Switching Network , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  Jie Huang,et al.  A General Result on the Robust Cooperative Output Regulation for Linear Uncertain Multi-Agent Systems , 2013, IEEE Transactions on Automatic Control.

[8]  Yong Wang,et al.  Distributed-Observer-Based Output Regulation of Heterogeneous Nonlinear Multi-Agent Systems , 2016, IEEE Transactions on Automatic Control.

[9]  Guanghong Yang,et al.  Distributed adaptive fault-tolerant containment control for a class of multi-agent systems with non-identical matching non-linear functions , 2016 .

[10]  Zhong-Ping Jiang,et al.  A Distributed Control Approach to A Robust Output Regulation Problem for Multi-Agent Linear Systems , 2010, IEEE Transactions on Automatic Control.

[11]  Jie Huang,et al.  The leader-following attitude control of multiple rigid spacecraft systems , 2014, Autom..

[12]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[13]  Zhengtao Ding,et al.  Distributed adaptive controllers for cooperative output regulation of heterogeneous agents over directed graphs , 2016, Autom..

[14]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[15]  Chao Deng,et al.  Cooperative adaptive output regulation for linear multi-agent systems with actuator faults , 2017 .

[16]  Marcel Staroswiecki,et al.  Fault tolerant cooperative control for a class of nonlinear multi-agent systems , 2011, Syst. Control. Lett..

[17]  Guoqiang Hu,et al.  The adaptive distributed observer approach to the cooperative output regulation of linear multi-agent systems , 2017, Autom..

[18]  Hyungbo Shim,et al.  Output Consensus of Heterogeneous Uncertain Linear Multi-Agent Systems , 2011, IEEE Transactions on Automatic Control.

[19]  Jun Zhang,et al.  Adaptive Fault-Tolerant Tracking Control for Linear and Lipschitz Nonlinear Multi-Agent Systems , 2015, IEEE Transactions on Industrial Electronics.

[20]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[21]  Zhong-Ping Jiang,et al.  Global robust distributed output consensus of multi-agent nonlinear systems: An internal model approach , 2016, Syst. Control. Lett..

[22]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[23]  Guang-Hong Yang,et al.  Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures , 2012 .

[24]  Wei Ren,et al.  Distributed coordination architecture for multi-robot formation control , 2008, Robotics Auton. Syst..

[25]  Daniel W. C. Ho,et al.  Fault-Tolerant Consensus of Multi-Agent System With Distributed Adaptive Protocol , 2015, IEEE Transactions on Cybernetics.

[26]  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.

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