Two-Sided Delay Compensation Design for 2 × 2 Linear Coupled Hyperbolic PDE Systems.

Saved in:

Bibliographic Details
Title:	Two-Sided Delay Compensation Design for 2 × 2 Linear Coupled Hyperbolic PDE Systems.
Authors:	Sun, Wei¹ 058056@chu.edu.cn, Xu, Liangyu¹ 058059@chu.edu.cn, Pan, Yali¹ panlijiyang@163.com
Source:	IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2150-2158. 9p.
Subjects:	Backstepping control method, Time delay systems, Integral operators, Partial differential equations, Fredholm operators
Abstract:	This paper introduces a novel backstepping control strategy for 2 × 2 linear hyperbolic systems subject to significant actuator and sensor delays. Developing a two-sided delay control scheme represents a significant and nontrivial advancement over conventional one-sided approaches. Initially, transport equations are employed to model the delays, yielding an equivalent delay-free system. Subsequently, a novel backstepping transformation, comprising two Fredholm and two affine-Volterra transformations, is proposed to map the equivalent system to a target system with well-defined dynamic properties. Compared to traditional one-sided control schemes, this two-sided approach offers superior control performance and achieves faster convergence. Finally, the effectiveness of the proposed method is demonstrated through a numerical case study. [ABSTRACT FROM AUTHOR]
	Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database:	Engineering Source

Description
Abstract:	This paper introduces a novel backstepping control strategy for 2 × 2 linear hyperbolic systems subject to significant actuator and sensor delays. Developing a two-sided delay control scheme represents a significant and nontrivial advancement over conventional one-sided approaches. Initially, transport equations are employed to model the delays, yielding an equivalent delay-free system. Subsequently, a novel backstepping transformation, comprising two Fredholm and two affine-Volterra transformations, is proposed to map the equivalent system to a target system with well-defined dynamic properties. Compared to traditional one-sided control schemes, this two-sided approach offers superior control performance and achieves faster convergence. Finally, the effectiveness of the proposed method is demonstrated through a numerical case study. [ABSTRACT FROM AUTHOR]
ISSN:	19929978