Discretized Mid-Value CLVI-PDNN Based Redundancy Resolution for Single Leg of Quadruped Robot

The two most important performance indicators of quadruped robot are load capacity and walking speed, and these performance indicators of the whole robot finally reflect on the joint torques and angular velocities. To satisfy different requirements of walking speed and load capacity when quadruped r...

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Published inMathematical problems in engineering Vol. 2019; no. 2019; pp. 1 - 13
Main Authors Ma, Hongxu, An, Honglei, Zhang, Taihui, Rao, Jinhui
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2019
Hindawi
John Wiley & Sons, Inc
Subjects
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ISSN1024-123X
1563-5147
DOI10.1155/2019/5071254

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Abstract The two most important performance indicators of quadruped robot are load capacity and walking speed, and these performance indicators of the whole robot finally reflect on the joint torques and angular velocities. To satisfy different requirements of walking speed and load capacity when quadruped robots implement different tasks, the joint torques and angular velocities need to be balanced with physical constraints of the joints. A single leg with redundant DOF (degree of freedom) could optimize the distribution of joint torques or angular velocities based on different performance requirements. This paper presents a kind of new recurrent neural networks taking joint torques and angular velocities simultaneously into consideration and proposes mid-value CLVI-PDNN to achieve the optimal joint torques and angular velocities with physical constraints of the mechanism as described in our previous paper. Because the continuous mid-value CLVI-PDNN has difficulty in real-time operation because of too much calculation workload, two kinds of methods are proposed to discretize the mid-value CLVI-PDNN for application on computer or digital circuit. The simulation results demonstrate the efficacy of the algorithm proposed in this paper.
AbstractList The two most important performance indicators of quadruped robot are load capacity and walking speed, and these performance indicators of the whole robot finally reflect on the joint torques and angular velocities. To satisfy different requirements of walking speed and load capacity when quadruped robots implement different tasks, the joint torques and angular velocities need to be balanced with physical constraints of the joints. A single leg with redundant DOF (degree of freedom) could optimize the distribution of joint torques or angular velocities based on different performance requirements. This paper presents a kind of new recurrent neural networks taking joint torques and angular velocities simultaneously into consideration and proposes mid‐value CLVI‐PDNN to achieve the optimal joint torques and angular velocities with physical constraints of the mechanism as described in our previous paper. Because the continuous mid‐value CLVI‐PDNN has difficulty in real‐time operation because of too much calculation workload, two kinds of methods are proposed to discretize the mid‐value CLVI‐PDNN for application on computer or digital circuit. The simulation results demonstrate the efficacy of the algorithm proposed in this paper.
Author Ma, Hongxu
Zhang, Taihui
An, Honglei
Rao, Jinhui
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Cites_doi 10.1007/BF00245422
10.1109/TCSI.2008.2007065
10.1109/IROS.2012.6386156
10.1109/TNNLS.2014.2342260
10.1109/TSMCB.2009.2034073
10.1109/TNNLS.2012.2223484
10.1002/(SICI)1097-4563(199603)13:3<177::AID-ROB5>3.3.CO;2-I
10.1152/jn.00582.2007
10.1007/s10846-013-9816-8
10.1007/s00422-004-0491-5
10.1109/72.728385
10.1007/s00521-010-0445-x
10.1139/tcsme-2007-0028
10.1109/IROS.2010.5649095
10.1016/j.neucom.2008.07.008
10.1109/TNN.2010.2049368
10.1007/978-3-540-30301-5
10.1109/TSMCB.2012.2210038
10.1007/s10589-015-9777-x
10.1109/TRO.2011.2135230
10.1177/1729881417731897
10.1162/pres.1996.5.4.393
10.1007/978-3-319-22873-0_25
10.1109/TNNLS.2015.2435014
10.1007/s10846-005-9000-x
10.1109/TNN.2003.810607
10.1007/978-3-642-37518-7
10.1515/jiip-2015-0047
10.1109/TRO.2011.2142450
10.1109/TRA.2002.801046
10.1016/j.neucom.2011.06.003
10.1007/978-981-10-0072-0_84
10.1007/s11075-010-9410-0
10.1016/j.neucom.2012.05.012
10.1016/j.mechatronics.2008.04.005
10.1177/0278364912469821
10.1109/TRO.2008.2003266
10.1109/CCRA.2016.7811428
10.5772/54823
ContentType Journal Article
Copyright Copyright © 2019 Jinhui Rao et al.
Copyright © 2019 Jinhui Rao et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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References e_1_2_11_31_2
e_1_2_11_30_2
e_1_2_11_13_2
e_1_2_11_35_2
e_1_2_11_12_2
e_1_2_11_34_2
e_1_2_11_11_2
e_1_2_11_33_2
e_1_2_11_10_2
e_1_2_11_32_2
e_1_2_11_6_2
e_1_2_11_28_2
e_1_2_11_5_2
e_1_2_11_27_2
e_1_2_11_4_2
e_1_2_11_26_2
e_1_2_11_3_2
e_1_2_11_25_2
e_1_2_11_2_2
e_1_2_11_1_2
e_1_2_11_29_2
e_1_2_11_20_2
e_1_2_11_43_2
e_1_2_11_24_2
e_1_2_11_9_2
e_1_2_11_23_2
e_1_2_11_40_2
e_1_2_11_8_2
e_1_2_11_22_2
e_1_2_11_7_2
e_1_2_11_21_2
e_1_2_11_42_2
e_1_2_11_17_2
Liu J. (e_1_2_11_18_2) 2016; 44
e_1_2_11_16_2
Jin L. (e_1_2_11_41_2) 2014
e_1_2_11_15_2
e_1_2_11_14_2
e_1_2_11_36_2
e_1_2_11_37_2
e_1_2_11_19_2
e_1_2_11_38_2
e_1_2_11_39_2
References_xml – ident: e_1_2_11_6_2
  doi: 10.1007/BF00245422
– year: 2014
  ident: e_1_2_11_41_2
  article-title: Discrete-time Zhang neural network of O(τ 3) pattern for time-varying matrix pseudoinversion with application to manipulator motion generation
  publication-title: Elsevier Science Publishers
– ident: e_1_2_11_36_2
  doi: 10.1109/TCSI.2008.2007065
– ident: e_1_2_11_20_2
  doi: 10.1109/IROS.2012.6386156
– ident: e_1_2_11_43_2
  doi: 10.1109/TNNLS.2014.2342260
– ident: e_1_2_11_24_2
  doi: 10.1109/TSMCB.2009.2034073
– ident: e_1_2_11_33_2
  doi: 10.1109/TNNLS.2012.2223484
– ident: e_1_2_11_26_2
  doi: 10.1002/(SICI)1097-4563(199603)13:3<177::AID-ROB5>3.3.CO;2-I
– ident: e_1_2_11_10_2
  doi: 10.1152/jn.00582.2007
– ident: e_1_2_11_27_2
  doi: 10.1007/s10846-013-9816-8
– ident: e_1_2_11_11_2
  doi: 10.1007/s00422-004-0491-5
– ident: e_1_2_11_32_2
  doi: 10.1109/72.728385
– ident: e_1_2_11_39_2
  doi: 10.1007/s00521-010-0445-x
– ident: e_1_2_11_25_2
– volume: 44
  start-page: 62
  year: 2016
  ident: e_1_2_11_18_2
  article-title: Improved optimization algorithm of the gram measurement matrix based on gradient projection
  publication-title: Journal of Huazhong University of Science and Technology: Nature Science
– ident: e_1_2_11_7_2
  doi: 10.1139/tcsme-2007-0028
– ident: e_1_2_11_4_2
  doi: 10.1109/IROS.2010.5649095
– ident: e_1_2_11_29_2
  doi: 10.1016/j.neucom.2008.07.008
– ident: e_1_2_11_34_2
  doi: 10.1109/TNN.2010.2049368
– ident: e_1_2_11_14_2
  doi: 10.1007/978-3-540-30301-5
– ident: e_1_2_11_40_2
  doi: 10.1109/TSMCB.2012.2210038
– ident: e_1_2_11_19_2
  doi: 10.1007/s10589-015-9777-x
– ident: e_1_2_11_22_2
  doi: 10.1109/TRO.2011.2135230
– ident: e_1_2_11_31_2
  doi: 10.1177/1729881417731897
– ident: e_1_2_11_2_2
  doi: 10.1162/pres.1996.5.4.393
– ident: e_1_2_11_15_2
  doi: 10.1007/978-3-319-22873-0_25
– ident: e_1_2_11_42_2
  doi: 10.1109/TNNLS.2015.2435014
– ident: e_1_2_11_8_2
  doi: 10.1007/s10846-005-9000-x
– ident: e_1_2_11_12_2
  doi: 10.1109/TNN.2003.810607
– ident: e_1_2_11_30_2
  doi: 10.1007/978-3-642-37518-7
– ident: e_1_2_11_17_2
  doi: 10.1515/jiip-2015-0047
– ident: e_1_2_11_21_2
  doi: 10.1109/TRO.2011.2142450
– ident: e_1_2_11_9_2
  doi: 10.1109/TRA.2002.801046
– ident: e_1_2_11_35_2
  doi: 10.1016/j.neucom.2011.06.003
– ident: e_1_2_11_1_2
– ident: e_1_2_11_16_2
  doi: 10.1007/978-981-10-0072-0_84
– ident: e_1_2_11_37_2
  doi: 10.1007/s11075-010-9410-0
– ident: e_1_2_11_38_2
  doi: 10.1016/j.neucom.2012.05.012
– ident: e_1_2_11_28_2
  doi: 10.1016/j.mechatronics.2008.04.005
– ident: e_1_2_11_13_2
  doi: 10.1177/0278364912469821
– ident: e_1_2_11_3_2
  doi: 10.1109/TRO.2008.2003266
– ident: e_1_2_11_23_2
  doi: 10.1109/CCRA.2016.7811428
– ident: e_1_2_11_5_2
  doi: 10.5772/54823
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SubjectTerms Algorithms
Angular speed
Angular velocity
Computer simulation
Control algorithms
Degrees of freedom
Digital computers
Digital electronics
Distance learning
Indicators
Kinematics
Methods
Neural networks
Optimization
Quadratic programming
Real time operation
Recurrent neural networks
Redundancy
Researchers
Robots
Torque
Velocity
Walking
Workload
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Title Discretized Mid-Value CLVI-PDNN Based Redundancy Resolution for Single Leg of Quadruped Robot
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