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Resilient Reachability for Linear Systems.

Jean-Baptiste Bouvier1, Melkior Ornik2

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Summary
This summary is machine-generated.

This study introduces resilient reachability for linear systems, ensuring goals are met despite actuator control loss. It develops a condition for systems to remain reachable under observed undesirable inputs.

Keywords:
Fault-tolerant systemsLinear systemsNon-convex optimizationReachabilityZero drift

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Area of Science:

  • Control Theory
  • System Engineering
  • Fault-Tolerant Systems

Background:

  • Fault-tolerant systems maintain functionality during component malfunctions.
  • This research focuses on actuator control authority loss, a specific system failure.
  • Existing robust control methods may not apply when undesirable inputs are observable.

Purpose of the Study:

  • To investigate resilient reachability for linear systems under actuator control loss.
  • To determine if target sets remain reachable despite observable undesirable inputs.
  • To develop a framework for control systems that adapt to real-time malfunctions.

Main Methods:

  • Developing a reachability condition for linear systems with observable undesirable inputs.
  • Formulating a method for driftless linear systems using concave-convex function optimization.
  • Establishing sufficient conditions for resilient reachability.

Main Results:

  • A novel reachability condition for linear systems is established.
  • A formula for driftless linear systems is derived via optimization.
  • Two new sufficient conditions for resilient reachability are presented.

Conclusions:

  • The developed conditions enhance the design of fault-tolerant control systems.
  • This work provides a theoretical basis for systems that adapt to observed disturbances.
  • Resilient reachability offers a pathway to more reliable system operation.