Event-Triggered Prescribed-Time Fuzzy Control for Space Teleoperation Systems Subject to Multiple Constraints and Uncertainties
Limited by the operation time window and working space, space teleoperation tasks need to be completed within an expected time while ensuring that the end effector meets the physical constraints. Meanwhile, the interaction with unknown environments would cause uncertainty in the closed-loop system,...
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Published in | IEEE transactions on fuzzy systems Vol. 29; no. 9; pp. 2785 - 2797 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
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New York
IEEE
01.09.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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Abstract | Limited by the operation time window and working space, space teleoperation tasks need to be completed within an expected time while ensuring that the end effector meets the physical constraints. Meanwhile, the interaction with unknown environments would cause uncertainty in the closed-loop system, which brings great challenges to the control design. To solve the above problems, the control performance issue for a class of space teleoperation systems subject to multiple constraints and interaction uncertainties is investigated in this article. The force interaction with the human operator/space environment is represented by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy systems, where the uncertain equivalent mass and damping parameters can be effectively described and captured by IT2 membership functions. In order to reduce the communication burden and satisfy the constraints of settling time, transient-state performance and operating space, a time-varying threshold event-triggered control scheme together with exponential-type Lyapunov function is developed for the first time. We show that, with the proposed controller, the synchronization tracking errors are guaranteed to converge to a user-defined residual set within preassigned settling time, and never exceed the prescribed range despite unknown control direction and actuator faults, which solves the long-standing constraint issue with more flexibility due to the fact that the related constraints can be arbitrarily specific within the physically available range. Moreover, the convergence set is only dependent on fewer user-defined parameters rather than approximation errors, which provides an effective analysis technique to deal with the difficulty that the convergence accuracy is difficult to calculate quantitatively in the presence of unknown disturbance. Detailed simulation results are provided to show the effectiveness and merit of the proposed control strategy. |
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AbstractList | Limited by the operation time window and working space, space teleoperation tasks need to be completed within an expected time while ensuring that the end effector meets the physical constraints. Meanwhile, the interaction with unknown environments would cause uncertainty in the closed-loop system, which brings great challenges to the control design. To solve the above problems, the control performance issue for a class of space teleoperation systems subject to multiple constraints and interaction uncertainties is investigated in this article. The force interaction with the human operator/space environment is represented by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy systems, where the uncertain equivalent mass and damping parameters can be effectively described and captured by IT2 membership functions. In order to reduce the communication burden and satisfy the constraints of settling time, transient-state performance and operating space, a time-varying threshold event-triggered control scheme together with exponential-type Lyapunov function is developed for the first time. We show that, with the proposed controller, the synchronization tracking errors are guaranteed to converge to a user-defined residual set within preassigned settling time, and never exceed the prescribed range despite unknown control direction and actuator faults, which solves the long-standing constraint issue with more flexibility due to the fact that the related constraints can be arbitrarily specific within the physically available range. Moreover, the convergence set is only dependent on fewer user-defined parameters rather than approximation errors, which provides an effective analysis technique to deal with the difficulty that the convergence accuracy is difficult to calculate quantitatively in the presence of unknown disturbance. Detailed simulation results are provided to show the effectiveness and merit of the proposed control strategy. |
Author | Lam, Hak-Keung Liang, Bin Xiao, Bo Wang, Ziwei Chen, Zhang Zhang, Tao |
Author_xml | – sequence: 1 givenname: Ziwei orcidid: 0000-0003-4588-8501 surname: Wang fullname: Wang, Ziwei email: wang-zw16@mails.tsinghua.edu.cn organization: Department of Automation, Tsinghua University, Beijing, China – sequence: 2 givenname: Hak-Keung orcidid: 0000-0002-6572-7265 surname: Lam fullname: Lam, Hak-Keung email: hak-keung.lam@kcl.ac.uk organization: Department of Engineering, King's College London, London, U.K – sequence: 3 givenname: Bo orcidid: 0000-0001-9361-4340 surname: Xiao fullname: Xiao, Bo email: b.xiao@imperial.ac.uk organization: Hamlyn Centre for Robotic Surgery, Imperial College London, London, U.K – sequence: 4 givenname: Zhang surname: Chen fullname: Chen, Zhang email: z.chen.thu@gmail.com organization: Department of Automation, Tsinghua University, Beijing, China – sequence: 5 givenname: Bin orcidid: 0000-0002-8591-8843 surname: Liang fullname: Liang, Bin email: bliang@mail.tsinghua.edu.cn organization: Department of Automation, Tsinghua University, Beijing, China – sequence: 6 givenname: Tao surname: Zhang fullname: Zhang, Tao email: taozhang@tsinghua.edu.cn organization: Department of Automation, Tsinghua University, Beijing, China |
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Snippet | Limited by the operation time window and working space, space teleoperation tasks need to be completed within an expected time while ensuring that the end... |
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SubjectTerms | Actuators Aerospace electronics Aerospace environments Convergence Damping End effectors Event-triggered control fault-tolerant control Feedback control Force Fuzzy control Fuzzy systems IT2 fuzzy control Liapunov functions Mathematical analysis Operators (mathematics) Parameters prescribed-time stability Settling space teleoperation Stability analysis Synchronism System effectiveness Teleoperators Tracking control Tracking errors Uncertainty Unknown environments Windows (intervals) |
Title | Event-Triggered Prescribed-Time Fuzzy Control for Space Teleoperation Systems Subject to Multiple Constraints and Uncertainties |
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