Recursive modeling and control of multi-link manipulators with vacuum grippers

R. Callies, S. Fronz

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Manipulators equipped with vacuum grippers are a new and flexible element in innovative material-flow solutions. The limited holding forces of vacuum grippers require elaborate strategies of control to prevent the contact between gripper and load from breaking off especially in time optimal motion. Mathematically this can be modeled as a constraint on internal forces of a multi-link manipulator. A Maximum Principle based approach is presented for the accurate solution of the control problem. Not only the equations of motion of the manipulator, but the complete optimal control problem is modeled recursively. By this, the structural properties of the control problem are revealed. Direct access becomes possible to all information necessary to restrict internal forces efficiently.

Original languageEnglish
Pages (from-to)906-916
Number of pages11
JournalMathematics and Computers in Simulation
Issue number4
StatePublished - 15 Dec 2008


  • Adjoint differential equations
  • Optimal control
  • Recursive modeling
  • Robot dynamics
  • Vacuum gripper


Dive into the research topics of 'Recursive modeling and control of multi-link manipulators with vacuum grippers'. Together they form a unique fingerprint.

Cite this