학술논문

Parameterized Barrier Functions to Guarantee Safety Under Uncertainty
Document Type
Periodical
Source
IEEE Control Systems Letters IEEE Control Syst. Lett. Control Systems Letters, IEEE. 7:2077-2082 2023
Subject
Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Safety
Uncertainty
Robustness
Robust control
Additives
Sufficient conditions
Stability analysis
Safety guarantee
uncertainty
robust control barrier functions
Language
ISSN
2475-1456
Abstract
Deploying safety-critical controllers in practice necessitates the ability to modulate uncertainties in control systems. In this context, robust control barrier functions—in a variety of forms—have been used to obtain safety guarantees for uncertain systems. Yet the differing types of uncertainty experienced in practice have resulted in a fractured landscape of robustification—with a variety of instantiations depending on the structure of the uncertainty. This letter proposes a framework for generalizing these variations into a single form: parameterized barrier functions (PBFs) , which yield safety guarantees for a wide spectrum of uncertainty types. This leads to controllers that enforce robust safety guarantees while their conservativeness scales by the parameterization. To illustrate the generality of this approach, we show that input-to-state safety (ISSf) is a special case of the PBF framework, whereby improved safety guarantees can be given relative to ISSf.