Periodically Controlled Hybrid Systems

  • Authors:
  • Tichakorn Wongpiromsarn;Sayan Mitra;Richard M. Murray;Andrew Lamperski

  • Affiliations:
  • California Institute of Technology,;University of Illinois at Urbana Champaign,;California Institute of Technology,;California Institute of Technology,

  • Venue:
  • HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
  • Year:
  • 2009

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Abstract

This paper introduces Periodically Controlled Hybrid Automata (PCHA) for describing a class of hybrid control systems. In a PCHA, control actions occur roughly periodically while internal and input actions may occur in the interim changing the discrete-state or the setpoint. Based on periodicity and subtangential conditions, a new sufficient condition for verifying invariance of PCHAs is presented. This technique is used in verifying safety of the planner-controller subsystem of an autonomous ground vehicle, and in deriving geometric properties of planner generated paths that can be followed safely by the controller under environmental uncertainties.