Zobrazit v EDS

Bilateral Boundary Finite‐Time Stabilization of 2×2 Linear First‐Order Hyperbolic Systems With Spatially Varying Coefficients.

Uloženo v:
Podrobná bibliografie
Název: Bilateral Boundary Finite‐Time Stabilization of 2×2 Linear First‐Order Hyperbolic Systems With Spatially Varying Coefficients.
Autoři: Sun, Wei1,2 (AUTHOR), Li, Jing1 (AUTHOR) lijingmath@xidian.edu.cn, Xu, Liangyu2 (AUTHOR)
Zdroj: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p15825-15835. 11p.
Témata: *HYPERBOLIC differential equations, *BACKSTEPPING control method, *FEEDBACK control systems, *CONTROL theory (Engineering), *STATE feedback (Feedback control systems), *LINEAR systems, *FAULT tolerance (Engineering)
Abstrakt: This paper presents bilateral control laws for one‐dimensional (1‐D) linear 2×2$$ 2\times 2 $$ hyperbolic first‐order systems (with spatially varying coefficients). Bilateral control means there are two actuators at each end of the domain. This situation becomes more complex as the transport velocities are no longer constant, and this extension is nontrivial. By selecting the appropriate backstepping transformation and target system, the infinite‐dimensional backstepping method is extended, and a full‐state feedback control law is given that ensures the closed‐loop system converges to its zero equilibrium in finite time. The design of bilateral controllers enables a potential for fault‐tolerant designs. [ABSTRACT FROM AUTHOR]
Databáze: Academic Search Index
Popis
Abstrakt:This paper presents bilateral control laws for one‐dimensional (1‐D) linear 2×2$$ 2\times 2 $$ hyperbolic first‐order systems (with spatially varying coefficients). Bilateral control means there are two actuators at each end of the domain. This situation becomes more complex as the transport velocities are no longer constant, and this extension is nontrivial. By selecting the appropriate backstepping transformation and target system, the infinite‐dimensional backstepping method is extended, and a full‐state feedback control law is given that ensures the closed‐loop system converges to its zero equilibrium in finite time. The design of bilateral controllers enables a potential for fault‐tolerant designs. [ABSTRACT FROM AUTHOR]
ISSN:01704214
DOI:10.1002/mma.70053