Modares Mechanical Engineering

Modares Mechanical Engineering

Nonlinear tracking control of wheeled mobile robots with input constraints

Document Type : Original Research

Authors
1 Department of Mechanical Engineering, Iranian Research Organization for Science and Technology (IROST)
2 Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University
Abstract
In many wheeled robot applications, in addition to accurate position control, dimensional and weight limitations are also important. The limitation of weight and dimensions means that it is not possible to use arbitrarily large actuators. On the other hand, accurate and fast tracking usually requires high control gains and, as a result, large control inputs. If the control input exceeds the saturation limit of the operator, in addition to increasing the tracking error, it may lead to robot instability in some cases. Therefore, it will be precious to provide a control method that can simultaneously provide high control accuracy and guarantee the robot's stability, taking into account the saturation limit of the actuators (speed and torque) in a predetermined manner. This issue has been addressed in the present study. The proposed control includes two parts: a kinematic controller and a dynamic controller. The kinematic control design is based on the Lyapunov approach, which can adjust the speed saturation limit of the actuators. For dynamic control, the robot velocity components are considered as control reference values ​​and the robot wheel torque is considered as control inputs. In the dynamic control design, the torque saturation limit of the actuators is included in a predetermined way. To evaluate the performance of the proposed nonlinear control, various analyses were performed on the wheeled robot. The results showed that the proposed control algorithm while guaranteeing stability and following the path with high accuracy, has also fully met the requirements of the actuators’ saturation limits
Keywords

Subjects


1. Taheri H, Zhao CX. Omnidirectional mobile robots, mechanisms and navigation approaches. Mechanism and Machine Theory. 2020;153:103958.
2. Moosavian SAA, Rahimi Bidgoli M, Keymasi Khalaji A. Trajectory tracking control of a wheeled mobile robot by a non-model-based control algorithm using PD-action filtered errors. Modares Mechanical Engineering. 2015;14(12):171-8.
3. Keymasi Khalaji A. Formation control of a differential drive wheeled robot in trajectory tracking. Modares Mechanical Engineering. 2017;16(11):103-12.
4. Rybczak M, Popowniak N, Lazarowska A. A Survey of Machine Learning Approaches for Mobile Robot Control. Robotics. 2024;13(1):12.
5. Zhang C, Cen C, Huang J. An Overview of Model-Free Adaptive Control for the Wheeled Mobile Robot. World Electric Vehicle Journal. 2024;15(9):396.
6. Zamanian M, Keymasi Khalaji A. Trajectory tracking and stabilization control of a wheeled robot using predictive algorithm. Modares Mechanical Engineering. 2018;17(12):167-75.
7. Khonsarian R, Farrokhi M. Vision-Based Model Predictive Control of Wheeled Mobile Robot. Modares Mechanical Engineering. 2019;19(7):1767-77.
8. Mehrabani MM, Khalaji AK, Ghane M. Control of a group of uncertain wheeled robots with global inputs in the presence of obstacles. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics. 2023;237(1):177-90.
9. Ding W, Zhang J-X, Shi P. Adaptive Fuzzy Control of Wheeled Mobile Robots With Prescribed Trajectory Tracking Performance. IEEE Transactions on Fuzzy Systems. 2024.
10. Kazemipour M, Shojaei K. Nonlinear Disturbance Observer-Based Fuzzy Adaptive Finite-Time Dynamic Surface Formation Control of Tractor–Trailer Wheeled Mobile Robots. Journal of Control. 2021;15(1):93-112.
11. Keymasi Khalaji A. Modeling and control of uncertain multibody wheeled robots. Multibody System Dynamics. 2019;46(3):257-79.
12. Keymasi Khalaji A, Jalalnezhad M. Control of a wheeled robot in presence of sliding of wheels using adaptive backstepping method. Modares Mechanical Engineering. 2018;18(4):144-52.
13. González-Sorribes A, Carbonell R, Cuenca A, Salt J. Control Synthesis of Nonholonomic Mobile Robots Under Time-Varying Delays and Input Saturation: Experimental Validation. IEEE Access. 2024;12:40255-66.
14. Zheng Y, Zheng J, Shao K, Zhao H, Man Z, Sun Z. Adaptive fuzzy sliding mode control of uncertain nonholonomic wheeled mobile robot with external disturbance and actuator saturation. Inf Sci. 2024;663:120303.
15. Katayama H, Hayashi K, Imamura Y. Sampled-Data Circular Path Following Control of Four Wheeled Mobile Robots With Steering Angle Saturation. IEEE Control Systems Letters. 2024;8:706-11.
16. Shojaei K. A novel saturated PID‐type observer‐based controller for wheeled mobile robots with a guaranteed performance considering path curvature. International Journal of Robust and Nonlinear Control. 2024;34(6):3697-725.
17. Zhang Z, Liu X, Jiang W. Adaptive tracking control of a nonholonomic wheeled mobile robot with multiple disturbances and input constraints. at - Automatisierungstechnik. 2024;72(1):35-46.
18. Song N-H, Kim H. Trajectory Tracking of Differential Wheeled Mobile Robots with Input Saturation and Mismatched Centers. Journal of Electrical Engineering & Technology. 2024;19(5):3463-70.
19. Li Y, Cai Y, Wang Y, Li W, Wang G. Simultaneous Tracking and Stabilization of Nonholonomic Wheeled Mobile Robots under Constrained Velocity and Torque. Mathematics. 2024;12(13):1985.
20. Tan LN, Gia DL. ADP-Based H-Infinity Optimal Decoupled Control of Single-Wheel Robots With Physically Coupling Effects, Input Constraints, and Disturbances. IEEE Trans Ind Electron. 2024;71(7):7445-54.
21. Keymasi Khalaji A, Moosavian SAA. Robust adaptive controller for a tractor–trailer mobile robot. IEEE ASME Trans Mechatron. 2013;19(3):943-53.