An Efficient Computational Approach for Inverse Kinematics Analysis of the UR10 Robot with SQP and BP-SQP Algorithms

Two algorithms that are distinct from the closed algorithm are proposed to create the inverse kinematics model of the UR10 robot: the Sequential Quadratic Programming (SQP) algorithm and the Back Propagation-Sequential Quadratic Programming (BP-SQP) algorithm. The SQP algorithm is an iterative algor...

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Vydané v:Applied sciences Ročník 13; číslo 5; s. 3009
Hlavní autori: Huang, Yizhe, Liu, Jiaen, Zhang, Xuwei, Wang, Jun, Li, Xiao, Tu, Xikai, Chen, Shuisheng, Wang, Chenlin, Huang, Qibai
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Basel MDPI AG 01.03.2023
Predmet:
Accuracy
Algorithms
Back propagation
inverse kinematics
Kinematics
Lasers
Neural networks
Optimization algorithms
Parameter estimation
Robotics
Robots
the BP-SQP algorithm
the SQP algorithm
ISSN:2076-3417, 2076-3417
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Abstract Two algorithms that are distinct from the closed algorithm are proposed to create the inverse kinematics model of the UR10 robot: the Sequential Quadratic Programming (SQP) algorithm and the Back Propagation-Sequential Quadratic Programming (BP-SQP) algorithm. The SQP algorithm is an iterative algorithm in which the fundamental tenet is that the joint’s total rotation radian should be at a minimum when the industrial robot reaches the target attitude. With this tenet, the SQP algorithm establishes the inverse kinematics model of the robot. Since the SQP algorithm is overly reliant on the initial values, deviations occur easily and the solution speed, and the accuracy of the algorithm is undermined. To assuage this disadvantage of the SQP algorithm, a BP-SQP algorithm incorporating a neural network is introduced to optimize the initial values. The results show that the SQP algorithm is an iterative algorithm that relies excessively on the initial values and has a narrow range of applications. The BP-SQP algorithm eliminates the limitations of the SQP algorithm, and the time complexity of the BP-SQP algorithm is greatly reduced. Subsequently, the effectiveness of the SQP algorithm and the BP-SQP algorithm is verified. The results show that the SQP and BP-SQP algorithms can significantly reduce the operation time compared with the closed algorithm, and the BP-SQP algorithm is faster but requires a certain number of samples as a prerequisite.
AbstractList Two algorithms that are distinct from the closed algorithm are proposed to create the inverse kinematics model of the UR10 robot: the Sequential Quadratic Programming (SQP) algorithm and the Back Propagation-Sequential Quadratic Programming (BP-SQP) algorithm. The SQP algorithm is an iterative algorithm in which the fundamental tenet is that the joint’s total rotation radian should be at a minimum when the industrial robot reaches the target attitude. With this tenet, the SQP algorithm establishes the inverse kinematics model of the robot. Since the SQP algorithm is overly reliant on the initial values, deviations occur easily and the solution speed, and the accuracy of the algorithm is undermined. To assuage this disadvantage of the SQP algorithm, a BP-SQP algorithm incorporating a neural network is introduced to optimize the initial values. The results show that the SQP algorithm is an iterative algorithm that relies excessively on the initial values and has a narrow range of applications. The BP-SQP algorithm eliminates the limitations of the SQP algorithm, and the time complexity of the BP-SQP algorithm is greatly reduced. Subsequently, the effectiveness of the SQP algorithm and the BP-SQP algorithm is verified. The results show that the SQP and BP-SQP algorithms can significantly reduce the operation time compared with the closed algorithm, and the BP-SQP algorithm is faster but requires a certain number of samples as a prerequisite.
Audience Academic
Author Chen, Shuisheng
Wang, Chenlin
Huang, Yizhe
Zhang, Xuwei
Huang, Qibai
Liu, Jiaen
Li, Xiao
Tu, Xikai
Wang, Jun
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Cites_doi 10.1016/j.protcy.2013.12.451
10.4028/www.scientific.net/AMR.984-985.1245
10.3901/JME.2008.11.304
10.1109/CYBER.2015.7288114
10.3390/s140406317
10.5772/56403
10.1007/s00500-021-06007-6
10.3390/sym14040825
10.3390/ma14040847
10.1017/S0263574704000529
10.3390/machines10040241
10.23919/OCEANS.2015.7401851
10.3390/s140406854
10.3389/fbioe.2022.832829
10.3390/sym14040753
10.1016/j.apm.2013.10.014
10.1007/978-3-540-30301-5
10.3390/app11157129
10.3901/JME.2010.17.035
10.3390/app13031352
10.3390/app12147219
10.3390/sym15020475
10.1016/j.eswa.2010.09.076
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References Cui (ref_26) 2020; 41
Yang (ref_27) 2020; 42
Karahan (ref_31) 2011; 38
Liu (ref_9) 2013; 10
ref_12
ref_11
ref_10
Duka (ref_14) 2014; 12
Zhao (ref_13) 2022; 10
Gan (ref_15) 2005; 23
Liao (ref_20) 2011; 27
Sudharsan (ref_16) 2014; 984–985
Li (ref_25) 2020; 41
Xie (ref_28) 2019; 41
Deng (ref_17) 2021; 25
ref_23
ref_22
ref_21
Yu (ref_24) 2016; 38
ref_1
ref_2
ref_29
Kucuk (ref_30) 2014; 38
Guerra (ref_4) 2014; 14
Zhang (ref_19) 2010; 46
ref_8
Kampmann (ref_3) 2014; 14
ref_5
ref_7
ref_6
Liu (ref_18) 2008; 44
References_xml – volume: 12
  start-page: 20
  year: 2014
  ident: ref_14
  article-title: Neural Network based Inverse Kinematics Solution for Trajectory Tracking of a Robotic Arm
  publication-title: Procedia Technol.
  doi: 10.1016/j.protcy.2013.12.451
– volume: 984–985
  start-page: 1245
  year: 2014
  ident: ref_16
  article-title: Derivation of Forward and Inverse Kinematics of 8—Degrees of Freedom Based Bio-Inspired Humanoid Robotic Arm
  publication-title: Adv. Mater. Res.
  doi: 10.4028/www.scientific.net/AMR.984-985.1245
– volume: 41
  start-page: 8
  year: 2019
  ident: ref_28
  article-title: Inverse solution of robotic arm kinematics based on improved differential evolutionary algorithm
  publication-title: Robotics
– volume: 44
  start-page: 304
  year: 2008
  ident: ref_18
  article-title: Real-time high-precision inverse kinematics algorithm for general 6R robots based on matrix decomposition
  publication-title: J. Mech. Eng.
  doi: 10.3901/JME.2008.11.304
– volume: 27
  start-page: 25
  year: 2011
  ident: ref_20
  article-title: Five degree of freedom inverse kinematics of anthropomorphic arm based on ergodic iteration method
  publication-title: Mech. Des. Res.
– ident: ref_22
  doi: 10.1109/CYBER.2015.7288114
– volume: 14
  start-page: 6317
  year: 2014
  ident: ref_4
  article-title: Monocular SLAM for Autonomous Robots with Enhanced Features Initialization
  publication-title: Sensors
  doi: 10.3390/s140406317
– volume: 10
  start-page: 236
  year: 2013
  ident: ref_9
  article-title: An Efficent Inverse Kinematic Algorithm for a PUMA560-Structured Robot Manipulator
  publication-title: Int. J. Adv. Robot. Syst.
  doi: 10.5772/56403
– volume: 25
  start-page: 13695
  year: 2021
  ident: ref_17
  article-title: An improved particle swarm optimization algorithm for inverse kinematics solution of multi-DOF serial robotic manipulators
  publication-title: Soft Comput.
  doi: 10.1007/s00500-021-06007-6
– ident: ref_6
  doi: 10.3390/sym14040825
– ident: ref_5
  doi: 10.3390/ma14040847
– volume: 23
  start-page: 123
  year: 2005
  ident: ref_15
  article-title: Quick look a complete analytical solution to the inverse kinematics of the pioneer 2 robotic arm
  publication-title: Robotica
  doi: 10.1017/S0263574704000529
– ident: ref_11
  doi: 10.3390/machines10040241
– ident: ref_23
– volume: 41
  start-page: 213
  year: 2020
  ident: ref_25
  article-title: Inverse kinematics and workspace analysis of SPR+UPS+UPR parallel mechanism
  publication-title: Packag. Eng.
– ident: ref_21
– volume: 41
  start-page: 196
  year: 2020
  ident: ref_26
  article-title: Inverse kinematics and reachable workspace analysis of 3-URPR parallel mechanism
  publication-title: Packag. Eng.
– ident: ref_8
  doi: 10.23919/OCEANS.2015.7401851
– volume: 14
  start-page: 6854
  year: 2014
  ident: ref_3
  article-title: Integration of Fiber-Optic Sensor Arrays into a Multi-Modal Tactile Sensor Processing System for Robotic End-Effectors
  publication-title: Sensors
  doi: 10.3390/s140406854
– volume: 10
  start-page: 832829
  year: 2022
  ident: ref_13
  article-title: A Tandem Robotic Arm Inverse Kinematic Solution Based on an Improved Particle Swarm Algorithm
  publication-title: Front. Bioeng. Biotechnol.
  doi: 10.3389/fbioe.2022.832829
– volume: 42
  start-page: 7
  year: 2020
  ident: ref_27
  article-title: Improved drosophila optimization algorithm for inverse kinematic solutions of redundant robots
  publication-title: Mech. Strength
– ident: ref_2
  doi: 10.3390/sym14040753
– volume: 38
  start-page: 1983
  year: 2014
  ident: ref_30
  article-title: Inverse kinematics solutions for industrial robot manipulators with offset wrists
  publication-title: Appl. Math. Model.
  doi: 10.1016/j.apm.2013.10.014
– ident: ref_12
  doi: 10.1007/978-3-540-30301-5
– ident: ref_10
  doi: 10.3390/app11157129
– volume: 46
  start-page: 35
  year: 2010
  ident: ref_19
  article-title: The inverse kinematics spinor equation of 6R robot based on Wu method
  publication-title: J. Mech. Eng.
  doi: 10.3901/JME.2010.17.035
– ident: ref_1
  doi: 10.3390/app13031352
– ident: ref_29
  doi: 10.3390/app12147219
– volume: 38
  start-page: 486
  year: 2016
  ident: ref_24
  article-title: An analytical solution acquisition method for inverse kinematics of robots not satisfying pieper criterion
  publication-title: Robot
– ident: ref_7
  doi: 10.3390/sym15020475
– volume: 38
  start-page: 4136
  year: 2011
  ident: ref_31
  article-title: Dynamic identification of Staubli RX-60 robot using PSO and LS methods
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2010.09.076
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SubjectTerms Accuracy
Algorithms
Back propagation
inverse kinematics
Kinematics
Lasers
Neural networks
Optimization algorithms
Parameter estimation
Robotics
Robots
the BP-SQP algorithm
the SQP algorithm
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Title An Efficient Computational Approach for Inverse Kinematics Analysis of the UR10 Robot with SQP and BP-SQP Algorithms
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