Maneuver-based control of the 2-degrees of freedom underactuated manipulator in normal form coordinates
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In this contribution, we provide a constructive way to transform a generic Lagrangian mechanical control system into the well-known Byrnes–Isidori normal form. Then, we restrict ourselves to the underactuated two-joint-manipulator in the horizontal plane. That system fails Brocketts condition and thus achieving point-to-point control is a challenging task. The system is analyzed in normal form coordinates, which allows to design a subordinate sliding mode controller and identify three discrete symmetries. Using these preliminary steps, finally a maneuver-based control scheme is proposed for equilibrium transition. Thereby each maneuver corresponds to a suitable sliding surface defined in normal form coordinates.
Details
| Original language | English |
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| Pages (from-to) | 26-38 |
| Number of pages | 13 |
| Journal | Systems Science and Control Engineering |
| Volume | 3 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2015 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0002-3347-0864/work/142255203 |
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Keywords
ASJC Scopus subject areas
Keywords
- discrete symmetry, equilibrium transition, Lagrangian Byrnes–Isidori normalform, maneuver-based control, sliding mode control, underactuated manipulator