Robust Control Barrier Functions using Uncertainty Estimation with Application to Mobile Robots
This paper proposes a safety-critical control design approach for nonlinear control affine systems in the presence of matched and unmatched uncertainties. Our constructive framework couples control barrier function (CBF) theory with a new uncertainty estimator to ensure robust safety. We use the estimated uncertainty, along with a derived upper bound on the estimation error, for synthesizing CBFs and safety-critical controllers via a quadratic program-based feedback control law that rigorously ensures robust safety while improving disturbance rejection performance. We extend the method to higher-order CBFs (HOCBFs) to achieve safety under unmatched uncertainty, which may cause relative degree differences with respect to control input and disturbances. We assume the relative degree difference is at most one, resulting in a second-order cone constraint. We demonstrate the proposed robust HOCBF method through a simulation of an uncertain elastic actuator control problem and experimentally validate the efficacy of our robust CBF framework on a tracked robot with slope-induced matched and unmatched perturbations.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Robust Control Barrier Functions for Safe Control Under Uncertainty Using Extended State Observer and Output Measurement
Control barrier functions-based quadratic programming (CBF-QP) is gaining popularity as an effective controller synthesis tool for safe control. However, the provable safety is established on an accurate dynamic model an…
State EstimationDADEE: Well-calibrated uncertainty quantification in neural networks for barriers-based robot safety
Uncertainty-aware controllers that guarantee safety are critical for safety critical applications. Among such controllers, Control Barrier Functions (CBFs) based approaches are popular because they are fast, yet safe. Ho…
Gaussian ProcessesUncertainty QuantificationLearning Robust Hybrid Control Barrier Functions for Uncertain Systems
The need for robust control laws is especially important in safety-critical applications. We propose robust hybrid control barrier functions as a means to synthesize control laws that ensure robust safety. Based on this …
Safe Control for Nonlinear Systems with Stochastic Uncertainty via Risk Control Barrier Functions
Guaranteeing safety for robotic and autonomous systems in real-world environments is a challenging task that requires the mitigation of stochastic uncertainties. Control barrier functions have, in recent years, been wide…
Measurement-Robust Control Barrier Functions: Certainty in Safety with Uncertainty in State
The increasing complexity of modern robotic systems and the environments they operate in necessitates the formal consideration of safety in the presence of imperfect measurements. In this paper we propose a rigorous fram…
State Estimation