Time-Optimal Path Tracking for Robots: A Convex Optimization Approach
This paper focuses on time-optimal path tracking, a subproblem in time-optimal motion planning of robot systems. Through a nonlinear change of variables, the time-optimal path tracking problem is transformed here into a convex optimal control problem with a single state. Various convexity-preserving...
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| Published in: | IEEE transactions on automatic control Vol. 54; no. 10; pp. 2318 - 2327 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
New York, NY
IEEE
01.10.2009
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects: | |
| ISSN: | 0018-9286, 1558-2523 |
| Online Access: | Get full text |
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| Abstract | This paper focuses on time-optimal path tracking, a subproblem in time-optimal motion planning of robot systems. Through a nonlinear change of variables, the time-optimal path tracking problem is transformed here into a convex optimal control problem with a single state. Various convexity-preserving extension are introduced, resulting in a versatile approach for optimal path tracking. A direct transcription method is presented that reduces finding the globally optimal trajectory to solving a second-order cone program using robust numerical algorithms that are freely available. Validation against known examples and application to a more complex example illustrate the versatility and practicality of the new method. |
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| AbstractList | This paper focuses on time-optimal path tracking, a subproblem in time-optimal motion planning of robot systems. Through a nonlinear change of variables, the time-optimal path tracking problem is transformed here into a convex optimal control problem with a single state. Various convexity-preserving extension are introduced, resulting in a versatile approach for optimal path tracking. A direct transcription method is presented that reduces finding the globally optimal trajectory to solving a second-order cone program using robust numerical algorithms that are freely available. Validation against known examples and application to a more complex example illustrate the versatility and practicality of the new method. |
| Author | Demeulenaere, B. Swevers, J. Diehl, M. Verscheure, D. De Schutter, J. |
| Author_xml | – sequence: 1 givenname: D. surname: Verscheure fullname: Verscheure, D. organization: Dept. of Mech. Eng., Katholieke Univ. Leuven, Leuven, Belgium – sequence: 2 givenname: B. surname: Demeulenaere fullname: Demeulenaere, B. organization: Dept. of Mech. Eng., Katholieke Univ. Leuven, Leuven, Belgium – sequence: 3 givenname: J. surname: Swevers fullname: Swevers, J. organization: Dept. of Mech. Eng., Katholieke Univ. Leuven, Leuven, Belgium – sequence: 4 givenname: J. surname: De Schutter fullname: De Schutter, J. organization: Dept. of Mech. Eng., Katholieke Univ. Leuven, Leuven, Belgium – sequence: 5 givenname: M. surname: Diehl fullname: Diehl, M. organization: Dept. of Electr. Eng. (ES AT), Katholieke Univ. Leuven, Leuven, Belgium |
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| Snippet | This paper focuses on time-optimal path tracking, a subproblem in time-optimal motion planning of robot systems. Through a nonlinear change of variables, the... |
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| SubjectTerms | Actuators Applied sciences Automatic control Computer science; control theory; systems Control system synthesis Control theory. Systems Exact sciences and technology Manipulator dynamics Mathematical analysis Mathematical models Motion planning Nonlinearity Numerical analysis Optimal control Optimization Orbital robotics Path planning Path tracking Robot kinematics Robotics Robots Robustness Second-order cone program (SOCP)-based solution method State-space methods Tracking |
| Title | Time-Optimal Path Tracking for Robots: A Convex Optimization Approach |
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