Nonlinear Control of Underactuated Systems Subject to Both Actuated and Unactuated State Constraints With Experimental Verification

In practice, underactuated systems are widely used, and their control problems have attracted much attention in recent years. For safety concerns or transient performance requirements, some state constraints should be guaranteed both theoretically and practically, particularly those exerted on unact...

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Published inIEEE transactions on industrial electronics (1982) Vol. 67; no. 9; pp. 7702 - 7714
Main Authors Chen, He, Sun, Ning
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract In practice, underactuated systems are widely used, and their control problems have attracted much attention in recent years. For safety concerns or transient performance requirements, some state constraints should be guaranteed both theoretically and practically, particularly those exerted on unactuated states. To the best of our knowledge, there are few closed-loop control methods that can treat unactuated state constraints with theoretical guarantees (i.e., that can theoretically guarantee unactuated state variables to be always within the preset ranges). For this purpose, in this article, we propose a new control strategy for a class of underactuated systems that can treat the various constraints including actuated and unactuated state constraints and the constraints on some specific composite variables . Specifically, we elaborately design some new auxiliary terms that are composed of constrained variable signals and actuated velocity signals. These terms can enhance the couplings between unactuated and actuated states that are further utilized to tackle the unactuated state and composite variable constraints. Then, the performance of the designed method is proven by rigorous analysis. Finally, the proposed method is applied to a double pendulum crane system and a tower crane system to verify its superior performance by experiments.
AbstractList In practice, underactuated systems are widely used, and their control problems have attracted much attention in recent years. For safety concerns or transient performance requirements, some state constraints should be guaranteed both theoretically and practically, particularly those exerted on unactuated states. To the best of our knowledge, there are few closed-loop control methods that can treat unactuated state constraints with theoretical guarantees (i.e., that can theoretically guarantee unactuated state variables to be always within the preset ranges). For this purpose, in this article, we propose a new control strategy for a class of underactuated systems that can treat the various constraints including actuated and unactuated state constraints and the constraints on some specific composite variables . Specifically, we elaborately design some new auxiliary terms that are composed of constrained variable signals and actuated velocity signals. These terms can enhance the couplings between unactuated and actuated states that are further utilized to tackle the unactuated state and composite variable constraints. Then, the performance of the designed method is proven by rigorous analysis. Finally, the proposed method is applied to a double pendulum crane system and a tower crane system to verify its superior performance by experiments.
Author Sun, Ning
Chen, He
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  organization: Institute of Robotics and Automatic Information Systems, College of Artificial Intelligence and the Tianjin Key Laboratory of Intelligent Robotics, Nankai University, Tianjin, China
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Snippet In practice, underactuated systems are widely used, and their control problems have attracted much attention in recent years. For safety concerns or transient...
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SubjectTerms Composite variable constraints
Constraints
Control methods
Control systems
Couplings
Cranes
mechatronics
Nonlinear control
Nonlinear systems
Payloads
Pendulums
Potential energy
Safety
State variable
Sun
Tower cranes
Transient analysis
Transient performance
unactuated state constraints
underactauted systems
Title Nonlinear Control of Underactuated Systems Subject to Both Actuated and Unactuated State Constraints With Experimental Verification
URI https://ieeexplore.ieee.org/document/8870254
https://www.proquest.com/docview/2401124838
Volume 67
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