Automated Formal Synthesis of Digital Controllers for State-Space Physical Plants

Research output: Chapter in Book/Report/Conference proceedingChapter

  • External authors:
  • Alessandro Abate
  • Iury Bessa
  • Dario Cattaruzza
  • Cristina David
  • Pascal Kesseli
  • Daniel Kroening
  • Elizabeth Polgreen

Abstract

We present a sound and automated approach to synthesize safe digital feedback controllers for physical plants represented as linear, time-invariant models. Models are given as dynamical equations with inputs, evolving over a continuous state space and accounting for errors due to the digitization of signals by the controller. Our counterexample guided inductive synthesis (CEGIS) approach has two phases: We synthesize a static feedback controller that stabilizes the system but that may not be safe for all initial conditions. Safety is then verified either via BMC or abstract acceleration; if the verification step fails, a counterexample is provided to the synthesis engine and the process iterates until a safe controller is obtained. We demonstrate the practical value of this approach by automatically synthesizing safe controllers for intricate physical plant models from the digital control literature.

Supported by EPSRC grant EP/J012564/1, ERC project 28

Bibliographical metadata

Original languageEnglish
Title of host publicationCOMPUTER AIDED VERIFICATION, CAV 2017, PT I
Pages462-482
Volume10426
DOIs
Publication statusPublished - 2017

Publication series

NameLecture Notes in Computer Science

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