Maneuver-based control of the 2-degrees of freedom underactuated manipulator in normal form coordinates

Research output: Contribution to journalResearch articleContributedpeer-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 languageEnglish
Pages (from-to)26-38
Number of pages13
JournalSystems Science and Control Engineering
Volume3
Issue number1
Publication statusPublished - 1 Jan 2015
Peer-reviewedYes

External IDs

ORCID /0000-0002-3347-0864/work/142255203

Keywords

Keywords

  • discrete symmetry, equilibrium transition, Lagrangian Byrnes–Isidori normalform, maneuver-based control, sliding mode control, underactuated manipulator