Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator

The planar three-link passive-active-active (PAA) under-actuated manipulator does not satisfy the small-time local controllability (STLC), which makes it more difficult to control than other planar under-actuated manipulators. This paper presents a two-stage switching hybrid control method based on...

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Main Authors: Xin Gao, Zeyu Ren, Lin Zhai, Qingxuan Jia, Huihe Liu
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8734053/
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author Xin Gao
Zeyu Ren
Lin Zhai
Qingxuan Jia
Huihe Liu
author_facet Xin Gao
Zeyu Ren
Lin Zhai
Qingxuan Jia
Huihe Liu
author_sort Xin Gao
collection DOAJ
description The planar three-link passive-active-active (PAA) under-actuated manipulator does not satisfy the small-time local controllability (STLC), which makes it more difficult to control than other planar under-actuated manipulators. This paper presents a two-stage switching hybrid control method based on improved particle swarm optimization (PSO) for the PAA under-actuated manipulator. According to the model reduction strategy, the control process is divided into two stages. The workspace of the manipulator is analyzed to guarantee the target position within the reachable region. In order to reduce the probability of falling into local optimum, we introduce the Metropolis criterion of simulated annealing algorithm and crowding factor of artificial fish swarm algorithm into PSO algorithm to calculate the target angles of two active joints. At each control stage, we design the Lyapunov function to maintain the angle of an active joint unchanged while we build the sliding surface and select the power function as reaching law to make the other active joint converge to the target angle. The control law switches to next stage when the rotated joint converges to the target angle. The proposed method not only retains the rapidity of sliding mode control, but also reduces the total chattering of the system by the Lyapunov function method. Simulation results demonstrate that the proposed method has shorter steady-state adjustment time than that of existing typical control methods, and its overshoot is almost zero.
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spelling doaj.art-951773278c3b4563aa0d375ad6d177ab2022-12-21T18:15:03ZengIEEEIEEE Access2169-35362019-01-017762637627310.1109/ACCESS.2019.29219688734053Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated ManipulatorXin Gao0https://orcid.org/0000-0002-7760-0915Zeyu Ren1Lin Zhai2Qingxuan Jia3Huihe Liu4School of Automation, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Automation, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Automation, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Automation, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Automation, Beijing University of Posts and Telecommunications, Beijing, ChinaThe planar three-link passive-active-active (PAA) under-actuated manipulator does not satisfy the small-time local controllability (STLC), which makes it more difficult to control than other planar under-actuated manipulators. This paper presents a two-stage switching hybrid control method based on improved particle swarm optimization (PSO) for the PAA under-actuated manipulator. According to the model reduction strategy, the control process is divided into two stages. The workspace of the manipulator is analyzed to guarantee the target position within the reachable region. In order to reduce the probability of falling into local optimum, we introduce the Metropolis criterion of simulated annealing algorithm and crowding factor of artificial fish swarm algorithm into PSO algorithm to calculate the target angles of two active joints. At each control stage, we design the Lyapunov function to maintain the angle of an active joint unchanged while we build the sliding surface and select the power function as reaching law to make the other active joint converge to the target angle. The control law switches to next stage when the rotated joint converges to the target angle. The proposed method not only retains the rapidity of sliding mode control, but also reduces the total chattering of the system by the Lyapunov function method. Simulation results demonstrate that the proposed method has shorter steady-state adjustment time than that of existing typical control methods, and its overshoot is almost zero.https://ieeexplore.ieee.org/document/8734053/The planar three-link passive-active-active (PAA) under-actuated manipulatorthe improved particle swarm optimization (PSO)hybrid control methodLyapunov direct methodsliding mode control
spellingShingle Xin Gao
Zeyu Ren
Lin Zhai
Qingxuan Jia
Huihe Liu
Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator
IEEE Access
The planar three-link passive-active-active (PAA) under-actuated manipulator
the improved particle swarm optimization (PSO)
hybrid control method
Lyapunov direct method
sliding mode control
title Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator
title_full Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator
title_fullStr Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator
title_full_unstemmed Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator
title_short Two-Stage Switching Hybrid Control Method Based on Improved PSO for Planar Three-Link Under-Actuated Manipulator
title_sort two stage switching hybrid control method based on improved pso for planar three link under actuated manipulator
topic The planar three-link passive-active-active (PAA) under-actuated manipulator
the improved particle swarm optimization (PSO)
hybrid control method
Lyapunov direct method
sliding mode control
url https://ieeexplore.ieee.org/document/8734053/
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AT qingxuanjia twostageswitchinghybridcontrolmethodbasedonimprovedpsoforplanarthreelinkunderactuatedmanipulator
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