Analysis of the Discontinuities in Prioritized Tasks-Space Control Under Discrete Task Scheduling Operations

François Keith 1, 2 Pierre-Brice Wieber 1 Nicolas Mansard 3 Abderrahmane Kheddar 2
1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
2 IDH - Interactive Digital Humans
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : This paper examines the control continuity in hierarchical task-space controllers. While the continuity is ensured for any a priori fixed number of tasks -even in ill-conditioned configurations-, the control resulting from a hierarchical stack-of-task computation may not be continuous under some discrete events. In particular, we study how the continuity of the stack-of-task control computation is affected under discreet scheduling operations such as on-the-fly priority switching between tasks, or tasks insertion and removal, which changes the number of tasks in the stack controller. Different ways to formulate a hierarchy of tasks are presented together with their continuity properties, which is thoroughly analyzed under such discreet scheduling operations.
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François Keith, Pierre-Brice Wieber, Nicolas Mansard, Abderrahmane Kheddar. Analysis of the Discontinuities in Prioritized Tasks-Space Control Under Discrete Task Scheduling Operations. IROS'11: International Conference on Intelligent Robots and Systems, Sep 2011, San Francisco, United States. pp.3887-3892, ⟨10.1109/IROS.2011.6094706⟩. ⟨hal-00649287⟩

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