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Robust Adaptive Control Barrier Functions: An Adaptive and Data-Driven Approach to Safety

Brett T. Lopez, Jean-Jacques Slotine, Jonathan P. How

2020IEEE Control Systems Letters179 citationsDOIOpen Access PDF

Abstract

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainty. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new adaptive data-driven safety paradigm is merged with a recent adaptive controller for systems nominally contracting in closed-loop. This unification is more general than other safety controllers as contraction does not require the system be invertible or in a particular form. The method is tested on the pitch dynamics of an aircraft with uncertain nonlinear aerodynamics.

Topics & Concepts

Control theory (sociology)Nonlinear systemAdaptive controlComputer scienceParametric statisticsUnificationInvertible matrixAerodynamicsController (irrigation)Data-drivenControl engineeringControl (management)MathematicsEngineeringArtificial intelligenceAerospace engineeringQuantum mechanicsAgronomyBiologyStatisticsPure mathematicsPhysicsProgramming languageControl and Stability of Dynamical SystemsAdvanced Control Systems OptimizationAdaptive Control of Nonlinear Systems