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A Fully Automated Framework for Control of Linear Systems from LTL Specifications

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Hybrid Systems: Computation and Control (HSCC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3927))

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Abstract

We consider the following problem: given a linear system and an LTL  − − X formula over a set of linear predicates in its state variables, find a feedback control law with polyhedral bounds and a set of initial states so that all trajectories of the closed loop system satisfy the formula. Our solution to this problem consists of three main steps. First, we partition the state space in accordance with the predicates in the formula and construct a transition system over the partition quotient, which captures our capability of designing controllers. Second, using model checking, we determine runs of the transition system satisfying the formula. Third, we generate the control strategy. Illustrative examples are included.

This work is partially supported by NSF CAREER 0447721 and NSF 0410514.

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Author information

Authors and Affiliations

  1. Center for Information and Systems Engineering, Boston University, 15 Saint Mary’s Street, Boston, MA, 02446, USA

    Marius Kloetzer & Calin Belta

Authors
  1. Marius Kloetzer
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  2. Calin Belta
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Editors and Affiliations

  1. Center for Control, Dynamical Systems and Computation, University of California, 93106, Santa Barbara, CA, USA

    João P. Hespanha

  2. SRI International, 333 Ravenswood Ave, Menlo Park, CA, USA

    Ashish Tiwari

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Kloetzer, M., Belta, C. (2006). A Fully Automated Framework for Control of Linear Systems from LTL Specifications. In: Hespanha, J.P., Tiwari, A. (eds) Hybrid Systems: Computation and Control. HSCC 2006. Lecture Notes in Computer Science, vol 3927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11730637_26

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  • DOI: https://doi.org/10.1007/11730637_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33170-4

  • Online ISBN: 978-3-540-33171-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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