Adaptive Perturbation Rejection Control and Driving Voltage Circuit Designs of Wheeled Mobile Robots

Abstract This paper addresses the robust trajectory tracking control problem for a class of wheeled robotic systems with perturbations caused by measurement errors, internal uncertainties, and exogenous disturbances. An adaptive technique is utilized to estimate the effects of perturbations. Then, on the basis of the adaptive estimations, perturbation rejection control schemes are developed to construct the kinematic control and dynamic control strategies. By utilizing Lyapunov stability theory, bounded tracking of the desired trajectory and asymptotic tracking of auxiliary azimuthal angular velocity and forward speed of the robot can be achieved respectively in the fact of perturbations. Furthermore, the adaptive perturbation rejection control (APRC) strategies are implemented physically by analog circuits to generate driving voltages of DC motors in the robot reality. The efficiency of the proposed trajectory tracking control method is validated by a robotic system.

[1]  Han Zhao,et al.  A novel adaptive robust control approach for underactuated mobile robot , 2019, J. Frankl. Inst..

[2]  Chaoxia Zhang Theoretical design and circuit realization of complex grid multi-wing chaotic system , 2016 .

[3]  Dongkyoung Chwa,et al.  Robust Distance-Based Tracking Control of Wheeled Mobile Robots Using Vision Sensors in the Presence of Kinematic Disturbances , 2016, IEEE Transactions on Industrial Electronics.

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

[5]  Yugang Niu,et al.  Finite-time sliding mode control of Markovian jump systems subject to actuator nonlinearities and its application to wheeled mobile manipulator , 2018, J. Frankl. Inst..

[6]  Yuanqing Xia,et al.  Disturbance Rejection MPC for Tracking of Wheeled Mobile Robot , 2017, IEEE/ASME Transactions on Mechatronics.

[7]  Wei Xing Zheng,et al.  Robust Pinning Constrained Control and Adaptive Regulation of Coupled Chua’s Circuit Networks , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  Chao Deng,et al.  Distributed adaptive security consensus control for a class of multi-agent systems under network decay and intermittent attacks , 2021, Inf. Sci..

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

[10]  Jong-Hwan Kim,et al.  Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots , 1999, IEEE Trans. Robotics Autom..

[11]  Changyin Sun,et al.  Adaptive Fuzzy Control for Coordinated Multiple Robots With Constraint Using Impedance Learning , 2019, IEEE Transactions on Cybernetics.

[12]  Alireza Mohammad Shahri,et al.  Adaptive trajectory tracking control of a differential drive wheeled mobile robot , 2010, Robotica.

[13]  Wei Xing Zheng,et al.  Optimal Synchronization Control of Multiagent Systems With Input Saturation via Off-Policy Reinforcement Learning , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[14]  Ting Qu,et al.  MPC for Path Following Problems of Wheeled Mobile Robots , 2018 .

[15]  M. Begnini,et al.  A robust adaptive fuzzy variable structure tracking control for the wheeled mobile robot: Simulation and experimental results , 2017 .

[16]  Long Cheng,et al.  Adaptive Control of an Electrically Driven Nonholonomic Mobile Robot via Backstepping and Fuzzy Approach , 2009, IEEE Transactions on Control Systems Technology.

[17]  Sundarapandian Vaidyanathan,et al.  Analysis, adaptive control and circuit simulation of a novel nonlinear finance system , 2016, Appl. Math. Comput..

[18]  Mahmut Reyhanoglu,et al.  Nonlinear Control Of Wheeled Mobile Robots , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  Wei Xing Zheng,et al.  Auxiliary Fault Tolerant Control With Actuator Amplitude Saturation and Limited Rate , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[20]  Hee-Jun Kang,et al.  Neural network-based adaptive tracking control of mobile robots in the presence of wheel slip and external disturbance force , 2016, Neurocomputing.

[21]  Mou Chen,et al.  Disturbance Attenuation Tracking Control for Wheeled Mobile Robots With Skidding and Slipping , 2017, IEEE Transactions on Industrial Electronics.

[22]  Dongkyoung Chwa,et al.  Fuzzy Adaptive Tracking Control of Wheeled Mobile Robots With State-Dependent Kinematic and Dynamic Disturbances , 2012, IEEE Transactions on Fuzzy Systems.

[23]  Dariusz Pazderski,et al.  Modeling and control of a 4-wheel skid-steering mobile robot , 2004 .

[24]  Mingyue Cui,et al.  Adaptive tracking control of wheeled mobile robots with unknown longitudinal and lateral slipping parameters , 2014 .

[25]  Han Zhao,et al.  Application of the Udwadia–Kalaba approach to tracking control of mobile robots , 2016 .

[26]  Changyun Wen,et al.  An adaptive control strategy for indoor leader-following of wheeled mobile robot , 2020, J. Frankl. Inst..

[27]  Howie Choset,et al.  Principles of Robot Motion: Theory, Algorithms, and Implementation ERRATA!!!! 1 , 2007 .

[28]  Yugong Luo,et al.  An Adaptive Hierarchical Trajectory Following Control Approach of Autonomous Four-Wheel Independent Drive Electric Vehicles , 2018, IEEE Transactions on Intelligent Transportation Systems.

[29]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[30]  Fumio Miyazaki,et al.  A stable tracking control method for a non-holonomic mobile robot , 1991, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91.

[31]  Wei Xing Zheng,et al.  Adaptive Sliding Mode Consensus Tracking for Second-Order Nonlinear Multiagent Systems With Actuator Faults , 2019, IEEE Transactions on Cybernetics.

[32]  Zhen Liu,et al.  Immersion and invariance adaptive control with σ-modification for uncertain nonlinear systems , 2018, J. Frankl. Inst..

[33]  Zewei Zheng,et al.  Adaptive sliding mode trajectory tracking control of robotic airships with parametric uncertainty and wind disturbance , 2018, J. Frankl. Inst..

[34]  Rongrong Wang,et al.  Output Constraint Control on Path Following of Four-Wheel Independently Actuated Autonomous Ground Vehicles , 2016, IEEE Transactions on Vehicular Technology.

[35]  Jin Bae Park,et al.  Adaptive Neural Sliding Mode Control of Nonholonomic Wheeled Mobile Robots With Model Uncertainty , 2009, IEEE Transactions on Control Systems Technology.

[36]  Junyong Zhai,et al.  Disturbance observer-based robust control for trajectory tracking of wheeled mobile robots , 2016, Neurocomputing.

[37]  Shaocheng Tong,et al.  Adaptive Neural Networks Prescribed Performance Control Design for Switched Interconnected Uncertain Nonlinear Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[38]  Subhash Rakheja,et al.  A Novel Terramechanics-Based Path-Tracking Control of Terrain-Based Wheeled Robot Vehicle With Matched-Mismatched Uncertainties , 2020, IEEE Transactions on Vehicular Technology.

[39]  Jiguo Yu,et al.  Adaptive fault-tolerant consensus for a class of leader-following systems using neural network learning strategy , 2020, Neural Networks.

[40]  Yunliang Wei,et al.  Composite anti-disturbance control for uncertain Markovian jump systems with actuator saturation based disturbance observer and adaptive neural network , 2019, J. Frankl. Inst..

[41]  Wei Xing Zheng,et al.  Adaptive Fault-Tolerant Consensus for a Class of Uncertain Nonlinear Second-Order Multi-Agent Systems With Circuit Implementation , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[42]  Yuan Li,et al.  Robust adaptive tracking control of wheeled mobile robot , 2016, Robotics Auton. Syst..

[43]  Bin Yao,et al.  Model-Based Coordinated Control of Four-Wheel Independently Driven Skid Steer Mobile Robot with Wheel–Ground Interaction and Wheel Dynamics , 2019, IEEE Transactions on Industrial Informatics.

[44]  Mohammad Farrokhi,et al.  Nonlinear model-predictive control with disturbance rejection property using adaptive neural networks , 2017, J. Frankl. Inst..