Finite-time trajectory tracking control in a task space of robotic manipulators

Automatica ◽  
2016 ◽  
Vol 67 ◽  
pp. 165-170 ◽  
Author(s):  
Mirosław Galicki
2019 ◽  
Vol 16 (3) ◽  
pp. 172988141984465 ◽  
Author(s):  
Chao Chen ◽  
Chengrui Zhang ◽  
Tianliang Hu ◽  
Hepeng Ni ◽  
Qizhi Chen

This article considers finite-time trajectory tracking control problem for robotic manipulators with parameter uncertainties and external disturbances. A finite-time controller that achieves high precision and strong robustness is proposed without the requirement of the exact dynamic model. First, a novel finite-time model-assisted extended state observer is designed to compensate the system uncertainties with complex and uncertain dynamics. Then, a composite finite-time controller is developed for trajectory tracking control with the help of finite-time model-assisted extended state observer. Compared to the classic extended state observer, it is proved that the estimation error of finite-time model-assisted extended state observer can be stabilized in finite time. Meanwhile, the finite-time convergence of the closed-loop system with the proposed controller can also be proved through Lyapunov’s stability theory. A variable structure term is employed to compensate the estimation errors of finite-time model-assisted extended state observer. The validity of the control scheme is demonstrated by simulations and experiments.


Author(s):  
Qijia Yao

Space manipulator is considered as one of the most promising technologies for future space activities owing to its important role in various on-orbit serving missions. In this study, a robust finite-time tracking control method is proposed for the rapid and accurate trajectory tracking control of an attitude-controlled free-flying space manipulator in the presence of parametric uncertainties and external disturbances. First, a baseline finite-time tracking controller is designed to track the desired position of the space manipulator based on the homogeneous method. Then, a finite-time disturbance observer is designed to accurately estimate the lumped uncertainties. Finally, a robust finite-time tracking controller is developed by integrating the baseline finite-time tracking controller with the finite-time disturbance observer. Rigorous theoretical analysis for the global finite-time stability of the whole closed-loop system is provided. The proposed robust finite-time tracking controller has a relatively simple structure and can guarantee the position and velocity tracking errors converge to zero in finite time even subject to lumped uncertainties. To the best of the authors’ knowledge, there are really limited existing controllers can achieve such excellent performance under the same conditions. Numerical simulations illustrate the effectiveness and superiority of the proposed control method.


2020 ◽  
Vol 42 (15) ◽  
pp. 2956-2968
Author(s):  
Bo Li ◽  
Hanyu Ban ◽  
Wenquan Gong ◽  
Bing Xiao

This work presents a novel control strategy for the trajectory tracking control of the quadrotor unmanned aerial vehicle (UAV) with parameter uncertainties and external unknown disturbances. As a stepping stone, two fixed-time extended state observers (ESOs) are proposed to estimate the external disturbances and/or the parameter uncertainties for the position and attitude subsystems, respectively. Then, the fast terminal sliding mode-based improved dynamic surface control (DSC) approaches are developed. To eliminate the problem of “explosion of complexity” inherent in backstepping method-based controllers, the finite-time command filters and an error compensation signals are used in the design of the dynamic surface controllers. Subsequently, the practically finite-time stability of the closed-loop tracking system is guaranteed by utilizing the proposed control scheme. The simulation results are obtained to demonstrate the effectiveness and fine performance of the proposed trajectory tracking control approaches.


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