Abstract:
The applications of barrier functions to safety analysis, diagnosis, and control have become a popular re-search direction. Barrier functions have been widely applied to ...Show MoreMetadata
Abstract:
The applications of barrier functions to safety analysis, diagnosis, and control have become a popular re-search direction. Barrier functions have been widely applied to solve the safety problems for different types of integer-order systems. This paper starts to discuss the relationship between barrier function and system state-safety for fractional-order nonlinear dynamical systems. First, by using Caputos fractional derivative, this paper revisits the safety theories via barrier functions (BFs). And based on less-zero barrier function, reciprocal barrier function and zeroing barrier function, three extended BFs under the Caputo fractional-order descriptions are designed. Then it establishes a framework by proposing the definitions and criteria of safety, safety-and-stability for a class of fractional-order nonlinear dynamical systems.
Published in: 2022 8th International Conference on Control, Decision and Information Technologies (CoDIT)
Date of Conference: 17-20 May 2022
Date Added to IEEE Xplore: 30 June 2022
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Funding Agency:
State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
Chongqing Industry Polytechnic College, ChongQing, China
State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, School of Automation, Chongqing, China
Contents State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
Chongqing Industry Polytechnic College, ChongQing, China
State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, China
State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, School of Automation, Chongqing, China
