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Control barrier functionals: Safety-critical control for time delay systems

delete2023-05-08
delete12
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OA
AI
A
Adam K. Kiss *
T
Tamás G. Molnár
A
Aaron D. Ames
G
Gábor Orosz
DOI:10.1002/rnc.6751delete
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Abstract

Abstract

En 中文
AbstarctThis work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state delay. The notion of control barrier functionals is introduced, to attain formal safety guarantees by enforcing the forward invariance of safe sets defined in the infinite dimensional state space. The proposed framework is able to handle multiple delays and distributed delays both in the dynamics and in the safety condition, and provides an affine constraint on the control input that yields provable safety. This constraint can be incorporated into optimization problems to synthesize pointwise optimal and provable safe controllers. The applicability of the proposed method is demonstrated by numerical simulation examples.
Keywords:
control of nonlinear systems
delay systems
infinite dimensional systems
safety-critical control

Journal

International Journal of Robust and Nonlinear Control cover
International Journal of Robust and Nonlinear Control
IF:
3.2
Papers:
6.9K
Citations:
1.4W

Organization

C
California Institute of Technology
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Papers: 2.5W
Citations: 4.9W
B
budapest university of technology & economics
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Papers: 5.1K
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U
university of michigan system
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9.1W
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Citations: 133
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