Automotive Control Revisited: Linear Inequalities as Approximation of Reachable Sets

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Abstract

Reachability analysis of hybrid system imposes restrictions on the continuous and discrete behavior. In this paper a method is proposed to approximate the reachable set of linear systems by linear inequalities. It allows to use the full continuous dynamics of hybrid systems for reachability analysis. This method is applied to an automotive control problem, which was presented by Stauner et al. in [SMF97].
Original languageEnglish
Title of host publicationHybrid Systems: Computation and Control
Subtitle of host publicationFirst International Workshop, HSCC'98, Berkeley, California, USA, April 13-15, 1998, Proceedings
EditorsThomas A. Henzinger, Shankar Sastry
Place of PublicationBerlin
PublisherSpringer
Pages110-125
Number of pages16
ISBN (Electronic)978-3-540-69754-1
ISBN (Print)978-3-540-64358-6
DOIs
Publication statusPublished - 1998
Externally publishedYes
Event1st International Workshop on Hybrid Systems: Computation and Control, HSCC 1998 - Berkeley, United States
Duration: 13 Apr 199815 Apr 1998
Conference number: 1

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume1386
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st International Workshop on Hybrid Systems: Computation and Control, HSCC 1998
Abbreviated titleHSCC
CountryUnited States
City Berkeley
Period13/04/9815/04/98

Keywords

  • Hybrid System
  • Linear Inequality
  • Reachable State
  • Hybrid Automaton
  • Reachability Analysis

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  • Cite this

    Fehnker, A. (1998). Automotive Control Revisited: Linear Inequalities as Approximation of Reachable Sets. In T. A. Henzinger, & S. Sastry (Eds.), Hybrid Systems: Computation and Control: First International Workshop, HSCC'98, Berkeley, California, USA, April 13-15, 1998, Proceedings (pp. 110-125). (Lecture Notes in Computer Science; Vol. 1386). Berlin: Springer. https://doi.org/10.1007/3-540-64358-3_35