Input-to-State Safety With Control Barrier Functions

被引：199

作者：

Kolathaya, Shishir ^{[1
]}

Ames, Aaron D. ^{[2
]}

机构：

[1] Indian Inst Sci, Robert Bosch Ctr Cyber Phys Syst, Bengaluru 560012, India

[2] CALTECH, Dept Mech & Civil Engn, Pasadena, CA 91125 USA

来源：

IEEE CONTROL SYSTEMS LETTERS | 2019年 / 3卷 / 01期

基金：

美国国家科学基金会;

关键词：

Safety critical control; barrier functions; input-to-state safety; autonomous systems;

D O I：

10.1109/LCSYS.2018.2853698

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This letter presents a new notion of input-to-state safe control barrier functions (ISSf-CBFs), which ensure safety of nonlinear dynamical systems under input disturbances. Similar to how safety conditions are specified in terms of forward invariance of a set, input-to-state safety conditions are specified in terms of forward invariance of a slightly larger set. In this context, invariance of the larger set implies that the states stay either inside or very close to the smaller safe set; and this closeness is bounded by the magnitude of the disturbances. The main contribution of the letter is the methodology used for obtaining a valid ISSf-CBF, given a control barrier function. The associated universal control law will also be provided. Towards the end, we will study unified quadratic programs that combine control Lyapunov functions and ISSf-CBFs in order to obtain a single control law that ensures both safety and stability in systems with input disturbances.

引用

页码：108 / 113

页数：6

共 19 条

[1] Control Barrier Function Based Quadratic Programs for Safety Critical Systems [J].

Ames, Aaron D. ;

Xu, Xiangru ;

Grizzle, Jessy W. ;

Tabuada, Paulo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) :3861-3876

[2]

Ames AD, 2014, IEEE DECIS CONTR P, P6271, DOI 10.1109/CDC.2014.7040372

[3] A characterization of integral input-to-state stability [J].

Angeli, D ;

Sontag, ED ;

Wang, Y .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1082-1097

[4]

[Anonymous], 2007, IFAC P

[5]

Li Wang, 2017, 2017 IEEE International Conference on Robotics and Automation (ICRA), P3293, DOI 10.1109/ICRA.2017.7989375

[6]

Paul R.P., 1984, ROBOTICS RESEARCHES, P783

[7]

Prajna S., 2005, IFAC Proceedings, V38, P526

[8] Convex programs for temporal verification of nonlinear dynamical systems [J].

Prajna, Stephen ;

Rantzer, Anders .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (03) :999-1021

[9]

Nguyen Q, 2017, ROBOTICS: SCIENCE AND SYSTEMS XIII

[10]

Nguyen Q, 2016, P AMER CONTR CONF, P322, DOI 10.1109/ACC.2016.7524935

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