Periodically Controlled Hybrid Systems: Verifying A Controller for An Autonomous Vehicle. Wongpiromsarn, T., Mitra, S., Murray, R., & Lamperski, A. In 12th International Conference Hybrid Systems: Computation and Control (HSCC 2009), pages 396-410, 2009.
Periodically Controlled Hybrid Systems: Verifying A Controller for An Autonomous Vehicle [link]Link  Periodically Controlled Hybrid Systems: Verifying A Controller for An Autonomous Vehicle [link]Paper  abstract   bibtex   
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.
@InProceedings{WMML:HSCC09,
  Title                    = {Periodically Controlled Hybrid Systems: Verifying A Controller for An Autonomous Vehicle},
  Author                   = {Tichakorn Wongpiromsarn and Sayan Mitra and Richard Murray and Andrew Lamperski},
  Booktitle                = {12th International Conference Hybrid Systems: Computation and Control (HSCC 2009)},
  Year                     = {2009},
  Pages                    = {396-410},

  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.},
  Bibsource                = {DBLP, http://dblp.uni-trier.de},
  Biburl                   = {http://users.crhc.illinois.edu/mitras/research.html},
  Crossref                 = {DBLP:conf/hybrid/2009},
  Ee                       = {http://dx.doi.org/10.1007/978-3-642-00602-9_28},
  Keywords                 = {Verification, Automotive},
  Pdfurl                   = {research/2009/pchahscc09.pdf},
  Url                      = {http://dl.acm.org/citation.cfm?id=1538188.1538217&coll=DL&dl=GUIDE&CFID=99228380&CFTOKEN=13940715}
}

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