Safe Control for Nonlinear Systems Under Faults and Attacks Via Control Barrier Functions

Fuente: arXiv
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Autori principali: Zhang, Hongchao, Li, Zhouchi, Clark, Andrew
Natura: Preprint
Pubblicazione: 2022
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author Zhang, Hongchao
Li, Zhouchi
Clark, Andrew
author_facet Zhang, Hongchao
Li, Zhouchi
Clark, Andrew
contents Safety is one of the most important properties of control systems. Sensor faults and attacks and actuator failures may cause errors in the sensor measurements and system dynamics, which leads to erroneous control inputs and hence safety violations. In this paper, we improve the robustness against sensor faults and actuator failures by proposing a class of Fault-Tolerant Control Barrier Functions (FT-CBFs) for nonlinear systems. Our approach maintains a set of state estimators according to fault patterns and incorporates CBF-based linear constraints for each state estimator. We then propose a framework for joint safety and stability by integrating FT-CBFs with Control Lyapunov Functions. With a similar philosophy of utilizing redundancy, we proposed High order CBF-based approach to ensure safety when actuator failures occur. We propose a sum-of-squares (SOS) based approach to verify the feasibility of FT-CBFs for both sensor faults and actuator failures. We evaluate our approach via two case studies, namely, a wheeled mobile robot (WMR) system in the presence of a sensor attack and a Boeing 747 lateral control system under actuator failures.
format Preprint
id arxiv_https___arxiv_org_abs_2207_05146
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Safe Control for Nonlinear Systems Under Faults and Attacks Via Control Barrier Functions
Zhang, Hongchao
Li, Zhouchi
Clark, Andrew
Systems and Control
Safety is one of the most important properties of control systems. Sensor faults and attacks and actuator failures may cause errors in the sensor measurements and system dynamics, which leads to erroneous control inputs and hence safety violations. In this paper, we improve the robustness against sensor faults and actuator failures by proposing a class of Fault-Tolerant Control Barrier Functions (FT-CBFs) for nonlinear systems. Our approach maintains a set of state estimators according to fault patterns and incorporates CBF-based linear constraints for each state estimator. We then propose a framework for joint safety and stability by integrating FT-CBFs with Control Lyapunov Functions. With a similar philosophy of utilizing redundancy, we proposed High order CBF-based approach to ensure safety when actuator failures occur. We propose a sum-of-squares (SOS) based approach to verify the feasibility of FT-CBFs for both sensor faults and actuator failures. We evaluate our approach via two case studies, namely, a wheeled mobile robot (WMR) system in the presence of a sensor attack and a Boeing 747 lateral control system under actuator failures.
title Safe Control for Nonlinear Systems Under Faults and Attacks Via Control Barrier Functions
topic Systems and Control
url https://arxiv.org/abs/2207.05146