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Learning for Safety-Critical Control with Control Barrier Functions.

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TLDR
A machine learning framework utilizing Control Barrier Functions (CBFs) to reduce model uncertainty as it impact the safe behavior of a system, ultimately achieving safe behavior.
Abstract
Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing safe controllers, leading to degradation in the properties provided by the controllers. This paper develops a machine learning framework utilizing Control Barrier Functions (CBFs) to reduce model uncertainty as it impact the safe behavior of a system. This approach iteratively collects data and updates a controller, ultimately achieving safe behavior. We validate this method in simulation and experimentally on a Segway platform.

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Reinforcement Learning for Safety-Critical Control under Model Uncertainty, using Control Lyapunov Functions and Control Barrier Functions

TL;DR: In this article, a reinforcement learning framework was proposed to learn the model uncertainty present in the CBF and CLF constraints, as well as other control-affine dynamic constraints in the quadratic program.
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Robust Adaptive Control Barrier Functions: An Adaptive and Data-Driven Approach to Safety

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TL;DR: A novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems in the presence of model uncertainty is presented.
References
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Proceedings ArticleDOI

Learning-Based Model Predictive Control for Safe Exploration

TL;DR: This paper presents a learning-based model predictive control scheme that can provide provable high-probability safety guarantees and exploits regularity assumptions on the dynamics in terms of a Gaussian process prior to construct provably accurate confidence intervals on predicted trajectories.
Journal ArticleDOI

End-to-End Safe Reinforcement Learning through Barrier Functions for Safety-Critical Continuous Control Tasks

TL;DR: In this article, a controller architecture that combines a model-free RL-based controller with model-based controllers utilizing control barrier functions (CBFs) and online learning of the unknown system dynamics is proposed to ensure safety during learning.
Proceedings Article

Safe Exploration for Optimization with Gaussian Processes

TL;DR: This work develops an efficient algorithm called SAFEOPT, and theoretically guarantees its convergence to a natural notion of optimum reachable under safety constraints, as well as two real applications: movie recommendation, and therapeutic spinal cord stimulation.
Proceedings ArticleDOI

Safe controller optimization for quadrotors with Gaussian processes

TL;DR: In this paper, a safe optimization algorithm, SafeOptimization, is applied to the problem of automatic controller parameter tuning for low-performance quadrotor vehicles, where the underlying performance measure is modeled as a Gaussian process and only new controller parameters whose performance lies above a safe performance threshold with high probability.
Journal ArticleDOI

Robustness of Control Barrier Functions for Safety Critical Control

TL;DR: This paper develops several important extensions to the notion of a control barrier function, including conditions for the control law obtained by solving the quadratic program to be Lipschitz continuous and therefore to gives rise to well-defined solutions of the resulting closed-loop system.
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