Jerk-Limited Time-Optimal Model Predictive Path Following Control of Cable-Driven Parallel Robots

Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In contrast to trajectory tracking control which has been extensively studied, path following control of CDPRs has been seldom addressed in exist...

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Published in:IEEE robotics and automation letters Vol. 8; no. 10; pp. 6731 - 6738
Main Authors: Wang, Ruobing, Li, Yangmin
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Cables
Heuristic algorithms
Iterative methods
Linear quadratic regulator
motion control
Motion planning
Optimization
optimization and optimal control
Parallel robots
Planning
Predictive control
Predictive models
Robot control
Robot dynamics
Robots
Smoothness
Time optimal control
Timing
Tracking control
Trajectory
Trajectory control
Trajectory planning
Trajectory tracking
ISSN:2377-3766, 2377-3766
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Abstract Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In contrast to trajectory tracking control which has been extensively studied, path following control of CDPRs has been seldom addressed in existing works. In this letter, we present a real-time model predictive control (MPC) scheme for jerk-limited time-optimal path following control of CDPRs. The proposed MPC scheme solves the control inputs and the timing law of the desired path by simultaneously minimizing the path following error and maximizing the path progress subject to the input and state constraints. To reduce computational complexity, a convex MPC formulation is derived by iteratively linearizing the dynamics and constraints. A high-speed solver for the proposed MPC is developed by leveraging the iterative linear quadratic regulator (iLQR) algorithm and the augmented Lagrangian (AL) method. The feasibility and robustness of the proposed method are validated on a laboratory-developed CDPR through simulations. Experiment results demonstrate that the proposed method outperforms the trajectory scaling method in terms of motion accuracy and motion smoothness.
AbstractList Motion planning and control of cable-driven parallel robots (CDPRs) suffer from difficulties imposed by the flexibility and unilateral property of cables. In contrast to trajectory tracking control which has been extensively studied, path following control of CDPRs has been seldom addressed in existing works. In this letter, we present a real-time model predictive control (MPC) scheme for jerk-limited time-optimal path following control of CDPRs. The proposed MPC scheme solves the control inputs and the timing law of the desired path by simultaneously minimizing the path following error and maximizing the path progress subject to the input and state constraints. To reduce computational complexity, a convex MPC formulation is derived by iteratively linearizing the dynamics and constraints. A high-speed solver for the proposed MPC is developed by leveraging the iterative linear quadratic regulator (iLQR) algorithm and the augmented Lagrangian (AL) method. The feasibility and robustness of the proposed method are validated on a laboratory-developed CDPR through simulations. Experiment results demonstrate that the proposed method outperforms the trajectory scaling method in terms of motion accuracy and motion smoothness.
Author Wang, Ruobing
Li, Yangmin
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crossref_primary_10_1016_j_measurement_2025_117567
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Cites_doi 10.1109/TRO.2011.2162268
10.1109/LRA.2019.2929976
10.1007/978-3-319-76138-1
10.1109/TASE.2019.2931810
10.1109/TCST.2012.2186299
10.1109/TMECH.2022.3175217
10.1115/1.4029769
10.1109/TMECH.2019.2960048
10.1109/TRO.2006.870663
10.1109/TRO.2011.2158693
10.1109/TRO.2022.3152705
10.1109/TRO.2018.2880120
10.1109/TCST.2013.2280464
10.1016/j.mechatronics.2017.11.003
10.1109/LRA.2023.3246393
10.1109/TMECH.2023.3234584
10.1016/j.mechatronics.2017.05.008
10.1109/TAC.2015.2466911
10.1109/TAC.2009.2028959
10.1109/TCST.2016.2601624
10.1109/IROS40897.2019.8967788
10.1109/TCST.2023.3263689
10.1109/LRA.2019.2929979
10.1109/TRO.2022.3173711
10.1016/j.conengprac.2019.104264
10.1115/1.4002712
10.1109/IROS.2013.6697060
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References ref13
ref12
ref15
ref14
wang (ref28) 2022; 10
ref11
ref10
ref2
ref1
ref17
ref16
ref19
ref18
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref27
ref8
ref7
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref11
  doi: 10.1109/TRO.2011.2162268
– ident: ref16
  doi: 10.1109/LRA.2019.2929976
– ident: ref24
  doi: 10.1007/978-3-319-76138-1
– ident: ref22
  doi: 10.1109/TASE.2019.2931810
– ident: ref14
  doi: 10.1109/TCST.2012.2186299
– ident: ref27
  doi: 10.1109/TMECH.2022.3175217
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  doi: 10.1115/1.4029769
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  doi: 10.1109/TMECH.2019.2960048
– ident: ref5
  doi: 10.1109/TRO.2006.870663
– volume: 10
  start-page: 1
  year: 2022
  ident: ref28
  article-title: Kinematic and dynamic modeling and workspace analysis of a suspended cable-driven parallel robot for Schönflies motions
  publication-title: Machines
– ident: ref26
  doi: 10.1109/TRO.2011.2158693
– ident: ref3
  doi: 10.1109/TRO.2022.3152705
– ident: ref10
  doi: 10.1109/TRO.2018.2880120
– ident: ref15
  doi: 10.1109/TCST.2013.2280464
– ident: ref13
  doi: 10.1016/j.mechatronics.2017.11.003
– ident: ref20
  doi: 10.1109/LRA.2023.3246393
– ident: ref25
  doi: 10.1109/TMECH.2023.3234584
– ident: ref12
  doi: 10.1016/j.mechatronics.2017.05.008
– ident: ref21
  doi: 10.1109/TAC.2015.2466911
– ident: ref9
  doi: 10.1109/TAC.2009.2028959
– ident: ref18
  doi: 10.1109/TCST.2016.2601624
– ident: ref23
  doi: 10.1109/IROS40897.2019.8967788
– ident: ref4
  doi: 10.1109/TCST.2023.3263689
– ident: ref8
  doi: 10.1109/LRA.2019.2929979
– ident: ref17
  doi: 10.1109/TRO.2022.3173711
– ident: ref19
  doi: 10.1016/j.conengprac.2019.104264
– ident: ref6
  doi: 10.1115/1.4002712
– ident: ref1
  doi: 10.1109/IROS.2013.6697060
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SubjectTerms Algorithms
Cables
Heuristic algorithms
Iterative methods
Linear quadratic regulator
motion control
Motion planning
Optimization
optimization and optimal control
Parallel robots
Planning
Predictive control
Predictive models
Robot control
Robot dynamics
Robots
Smoothness
Time optimal control
Timing
Tracking control
Trajectory
Trajectory control
Trajectory planning
Trajectory tracking
Title Jerk-Limited Time-Optimal Model Predictive Path Following Control of Cable-Driven Parallel Robots
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