Distributed active fault tolerant control design against actuator faults for multiple mobile robots

This paper investigates the active fault tolerant cooperative control problem for a team of wheeled mobile robots whose actuators are subjected to partial or severe faults during the team mission. The cooperative robots network only requires the interaction between local neighbors over the undirected graph and does not assume the existence of leaders in the network. We assume that the communication exists all the time during the mission. To avoid the system’s deterioration in the event of a fault, a set of extended Kalman filters (EKFs) are employed to monitor the actuators’ behavior for each robot. Then, based on the online information given by the EKFs, a reconfigurable sliding mode control is proposed to take an appropriate action to accommodate that fault. In this research study, two types of faults are considered. The first type is a partial actuator fault in which the faulty actuator responds to a partial of its control input, but still has the capability to continue the mission when the control law is reconfigured. In addition, the controllers of the remaining healthy robots are reconfigured simultaneously to move within the same capability of the faulty one. The second type is a severe actuator fault in which the faulty actuator is subjected to a large loss of its control input, and that lead the exclusion of that faulty robot from the team formation. Consequently, the remaining healthy robots update their reference trajectories and form a new formation shape to achieve the rest of the team mission.

[1]  Yuanqing Xia,et al.  Analysis and Synthesis of Fault-Tolerant Control Systems: Mahmoud/Analysis , 2013 .

[2]  G. Ducard,et al.  Extended Multiple Model Adaptive Estimation for the Detection of Sensor and Actuator Faults , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[3]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[4]  Yeong-Hwa Chang,et al.  Adaptive output-feedback fault-tolerant tracking control for mobile robots under partial loss of actuator effectiveness , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

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

[6]  Wei Xing Zheng,et al.  Fault-tolerant coordination control for second-order multi-agent systems with partial actuator effectiveness , 2018, Inf. Sci..

[7]  Qi Song,et al.  Active-Model-Based Fault Tolerant Control against Actuator Failures for Mobile Robot , 2006, 2006 6th World Congress on Intelligent Control and Automation.

[8]  Guillaume Ducard,et al.  Fault-tolerant Flight Control and Guidance Systems: Practical Methods for Small Unmanned Aerial Vehicles , 2009 .

[9]  Peter S. Maybeck Multiple model adaptive algorithms for detecting and compensating sensor and actuator/surface failures in aircraft flight control systems , 1999 .

[10]  Rached Dhaouadi,et al.  Dynamic Modelling of Differential-Drive Mobile Robots using Lagrange and Newton-Euler Methodologies: A Unified Framework , 2013, ICRA 2013.

[11]  Alexandru Stancu,et al.  A fault hiding approach for the sliding mode fault-tolerant control of a non-holonomic mobile robot , 2016, 2016 3rd Conference on Control and Fault-Tolerant Systems (SysTol).

[12]  Gang Tao,et al.  Adaptive control of systems with actuator failures , 2004, 2008 Chinese Control and Decision Conference.

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

[14]  Youmin Zhang,et al.  Active Fault Tolerant Control Systems: Stochastic Analysis and Synthesis , 2003 .

[15]  Guillaume Ducard,et al.  Fault-tolerant Flight Control and Guidance Systems , 2009 .

[16]  Yuanqing Xia,et al.  Analysis and Synthesis of Fault-Tolerant Control Systems , 2013 .

[17]  Youmin Zhang,et al.  Fault-Tolerant Cooperative Control Design of Multiple Wheeled Mobile Robots , 2018, IEEE Transactions on Control Systems Technology.

[18]  Hyo-Sung Ahn,et al.  A survey of formation of mobile agents , 2010, 2010 IEEE International Symposium on Intelligent Control.

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

[20]  Norihiko Adachi,et al.  Adaptive tracking control of a nonholonomic mobile robot , 2000, IEEE Trans. Robotics Autom..

[21]  Nabil Derbel,et al.  Distributed Synchronization Control to Trajectory Tracking of Multiple Robot Manipulators , 2011, J. Robotics.

[22]  Wenjie Dong,et al.  Tracking Control of Multiple-Wheeled Mobile Robots With Limited Information of a Desired Trajectory , 2012, IEEE Transactions on Robotics.

[23]  Gautam Biswas,et al.  Hybrid fault adaptive control of a wheeled mobile robot , 2003 .

[24]  Maarouf Saad,et al.  Sliding mode control with exponential reaching law applied on a 3 DOF modular robot arm , 2007, 2007 European Control Conference (ECC).

[25]  Bin Jiang,et al.  Adaptive Fault-tolerant Neural Control for Large-scale Systems with Actuator Faults , 2019 .

[26]  Nader Meskin,et al.  Actuator fault detection and isolation of differential drive mobile robots using multiple model algorithm , 2017, 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT).

[27]  Rolf Isermann,et al.  Fault-Diagnosis Applications: Model-Based Condition Monitoring: Actuators, Drives, Machinery, Plants, Sensors, and Fault-tolerant Systems , 2011 .

[28]  Dan Ye,et al.  Distributed adaptive fault-tolerant consensus tracking of multi-agent systems against time-varying actuator faults , 2016 .

[29]  Xiaoping Yun,et al.  Internal dynamics of a wheeled mobile robot , 1993, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93).