State barrier avoidance control for complex barriers using a diffeomorphic transformation-based method.

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Bibliographic Details
Title: State barrier avoidance control for complex barriers using a diffeomorphic transformation-based method.
Authors: Tian, Dongzuo1 (AUTHOR), Zhang, Zihang1 (AUTHOR), Song, Xingyong1 (AUTHOR) songxy@tamu.edu
Source: International Journal of Control. Jun2026, Vol. 99 Issue 6, p1798-1810. 13p.
Subjects: Diffeomorphisms, Constraints (Physics), Control theory (Engineering), Optimization algorithms, Nonlinear control theory
Abstract: State-constrained control is a pivotal topic in nonlinear control systems, aimed at preventing state violations of constraints or barriers. Previous research on state-constrained control has faced limitations in computational efficiency, system types, and constraint shapes. Most existing works only address barriers or constraints with simple shapes, making it challenging to extend to complex state constraints under current frameworks. In this paper, we present a novel barrier avoidance control method that systematically addresses complex barrier shapes using a diffeomorphic transformation. Case studies are presented to demonstrate the flexibility and effectiveness of this approach. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:State-constrained control is a pivotal topic in nonlinear control systems, aimed at preventing state violations of constraints or barriers. Previous research on state-constrained control has faced limitations in computational efficiency, system types, and constraint shapes. Most existing works only address barriers or constraints with simple shapes, making it challenging to extend to complex state constraints under current frameworks. In this paper, we present a novel barrier avoidance control method that systematically addresses complex barrier shapes using a diffeomorphic transformation. Case studies are presented to demonstrate the flexibility and effectiveness of this approach. [ABSTRACT FROM AUTHOR]
ISSN:00207179
DOI:10.1080/00207179.2026.2616032