Consensus tracking control with transient performance improvement for a group of unmanned aerial vehicles subject to faults and parameter uncertainty

ABSTRACT This paper considers the consensus tracking synthesised with transient performance improvement problem for a network of unmanned aerial vehicles with faults. In practical situations, the parameter variations, modelling errors and disturbances are of particular interest. Thus, it is assumed that the dynamics of vehicles are subject to parameter uncertainty. As the main contribution of this paper, a set of fault-estimator-based protocols is proposed to drive the overall network performance below the given H ∞ synthesised with transient performance index. Sufficient conditions for designing the protocols which utilise the relative output information among neighbouring vehicles are given by applying the robust control theory. Simulations are performed to validate the proposed results.

[1]  Marios M. Polycarpou,et al.  Decentralized Isolation of Multiple Sensor Faults in Large-Scale Interconnected Nonlinear Systems , 2015, IEEE Transactions on Automatic Control.

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

[3]  Marcel Staroswiecki,et al.  Fault recoverability and fault tolerant control for a class of interconnected nonlinear systems , 2015, Autom..

[4]  Guoqiang Hu,et al.  Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs , 2013, Syst. Control. Lett..

[5]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

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

[7]  Dapeng Yang,et al.  Fully distributed adaptive sliding-mode controller design for containment control of multiple Lagrangian systems , 2014, Syst. Control. Lett..

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

[9]  Lihua Xie,et al.  Distributed robust control of linear multi-agent systems with parameter uncertainties , 2011, Int. J. Control.

[10]  Khashayar Khorasani,et al.  A Distributed Control Reconfiguration and Accommodation for Consensus Achievement of Multiagent Systems Subject to Actuator Faults , 2016, IEEE Transactions on Control Systems Technology.

[11]  Zhisheng Duan,et al.  On H∞ and H2 performance regions of multi-agent systems , 2011, Autom..

[12]  S. Shankar Sastry,et al.  Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..

[13]  C. D. Souza,et al.  Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach , 1997, IEEE Trans. Autom. Control..

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

[15]  Frank L. Lewis,et al.  Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties , 2013, Autom..

[16]  Guoqiang Hu,et al.  Distributed ${\cal H}_{\infty}$ Consensus of Higher Order Multiagent Systems With Switching Topologies , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[17]  James Lam,et al.  An LMI approach to design robust fault detection filter for uncertain LTI systems , 2003, Autom..

[18]  Zhisheng Duan,et al.  An iterative approach to H-/H∞ Fault Detection Observer Design for Discrete-Time Uncertain Systems , 2017 .

[19]  Guanghui Wen,et al.  Distributed robust control of uncertain linear multi‐agent systems , 2015 .

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

[21]  Mi-Ching Tsai,et al.  Robust and Optimal Control , 2014 .

[22]  Lui Sha,et al.  Real-time communication and coordination in embedded sensor networks , 2003, Proc. IEEE.

[23]  Zhisheng Duan,et al.  Attitude control for hypersonic vehicle's reentry phase with reaction jets , 2013, Proceedings of the 32nd Chinese Control Conference.

[24]  Jianglin Lan,et al.  A new strategy for integration of fault estimation within fault-tolerant control , 2016, Autom..

[25]  P. Tichy,et al.  Multiagent technology for fault tolerance and flexible control , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

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

[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]  Frank L. Lewis,et al.  Distributed Fault-Tolerant Control of Networked Uncertain Euler–Lagrange Systems Under Actuator Faults , 2017, IEEE Transactions on Cybernetics.

[29]  Wenwu Yu,et al.  Finite-Time Containment Control for Second-Order Multiagent Systems Under Directed Topology , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[31]  Zhiyong Geng,et al.  Finite-time optimal formation control of multi-agent systems on the Lie group SE(3) , 2013, Int. J. Control.

[32]  Zhengtao Ding,et al.  Consensus Control of a Class of Lipschitz Nonlinear Systems With Input Delay , 2015, IEEE Trans. Circuits Syst. I Regul. Pap..

[33]  A. K. Johnson,et al.  A loss model for interdigital filters , 1994 .

[34]  Francesco Bullo,et al.  Multirobot Rendezvous With Visibility Sensors in Nonconvex Environments , 2006, IEEE Transactions on Robotics.

[35]  Yu Zhao,et al.  H∞ and H2 control of multi-agent systems with transient performance improvement , 2013, Int. J. Control.

[36]  Guanghui Wen,et al.  Finite-time consensus of multiple nonholonomic chained-form systems based on recursive distributed observer , 2015, Autom..

[37]  Youmin Zhang,et al.  Fault‐tolerant formation control of multiple UAVs in the presence of actuator faults , 2016 .

[38]  Wenwu Yu,et al.  Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[40]  Guanrong Chen,et al.  Robust semi‐global coordinated tracking of linear multi‐agent systems with input saturation , 2015 .

[41]  Mohamed A. Kamel,et al.  Fault-tolerant control for cooperative unmanned aerial vehicles formation via fuzzy logic , 2016, 2016 International Conference on Unmanned Aircraft Systems (ICUAS).

[42]  Marios M. Polycarpou,et al.  A Distributed Networked Approach for Fault Detection of Large-Scale Systems , 2017, IEEE Transactions on Automatic Control.

[43]  Arturo F. Locatelli,et al.  Fault-Tolerant Pole-Placement in Double-Integrator Networks , 2012, IEEE Transactions on Automatic Control.

[44]  Yuming Guo,et al.  Active fault-tolerant control for vehicle active suspension systems in finite-frequency domain , 2011 .

[45]  Fei Hao,et al.  Asynchronous decentralised event-triggered control of multi-agent systems , 2014, Int. J. Control.

[46]  Antonio Bicchi,et al.  Consensus Computation in Unreliable Networks: A System Theoretic Approach , 2010, IEEE Transactions on Automatic Control.

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

[48]  Guoqiang Hu Robust consensus tracking of a class of second-order multi-agent dynamic systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[49]  Marios M. Polycarpou,et al.  Distributed Fault Detection and Isolation of Large-Scale Discrete-Time Nonlinear Systems: An Adaptive Approximation Approach , 2012, IEEE Transactions on Automatic Control.

[50]  Lorenzo Sabattini,et al.  Decentralized state estimation for heterogeneous multi-agent systems , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).