Resilient reachability for linear systems

Jean Baptiste Bouvier, Melkior Ornik

Research output: Contribution to journalConference articlepeer-review


A fault-tolerant system is able to reach its goal even when some of its components are malfunctioning. This paper examines tolerance to a specific type of malfunction: the loss of control authority over actuators. Namely, we investigate whether the desired target set for a linear system remains reachable under any undesirable input. Contrary to robust control, we assume that the undesirable inputs can be observed in real time, and subsequently allow the control inputs to depend on these undesirable inputs. Building on previous work on reachability with undesirable inputs, this paper develops a reachability condition for linear systems, and obtains a formula that describes reachability of the goal set for driftless linear systems by computing the minimum of a concave-convex objective function. From this formulation we establish two novel sufficient conditions for resilient reachability.

Original languageEnglish (US)
Pages (from-to)4409-4414
Number of pages6
Issue number2
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: Jul 12 2020Jul 17 2020


  • Fault-tolerant systems
  • Linear systems
  • Non-convex optimization
  • Reachability
  • Zero drift

ASJC Scopus subject areas

  • Control and Systems Engineering


Dive into the research topics of 'Resilient reachability for linear systems'. Together they form a unique fingerprint.

Cite this