Translating temporal logic to controller specifications

Georgias E. Fainekos, Savvas G. Loizou, George J. Pappas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

30 Scopus citations


The problem of designing hybrid controllers in order to satisfy safety or liveness specifications has received much attention in the past decade. Much more recently, there is an increased interest in designing hybrid controllers in order to achieve more sophisticated discrete specifications, such as those expressible in temporal logics. A great challenge is how to compose safety and liveness controllers in order to achieve more complex specifications. Existing approaches are predominantly bottom-up, in the sense that the overall control and composition (or switching) logic requires verification of the integrated closed-loop hybrid system. In this paper, we advocate and develop a top-down approach for this problem by synthesizing controllers which satisfy the specification by construction. Given a flat linear temporal logic specification as an input, we develop an algorithm that translates the temporal logic specification into a hybrid automaton where in each discrete mode we impose controller specifications for the continuous dynamics. In addition to achieving the desired specification by construction, our methodology provides a very natural interface between high level logic design and low level control design.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)1424401712, 9781424401710
StatePublished - 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Other45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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