Work

Sliding mode control to stabilization of coupled time fractional parabolic PDEs subject to disturbances

Year: 2024

Type: article

Abstract: In this article, the stabilization of coupled time fractional parabolic partial differential equations subject to external disturbances is investigated. By using sliding mode control method and backstepping approach, a boundary state feedback controller is designed to reject the matched disturbance and achieve the Mittag‐Leffler input‐to‐state stability of closed‐loop system. The existence of the generalized solution to the closed‐loop system is proven by Galerkin approximation scheme. Simulations are presented to illustrate the validity of our theoretical results.

Source: IET Control Theory and Applications

DOI: 10.1049/cth2.12743

Authors: Jiake Sun, Junmin Wang, Hanwen Zhang

Institutions: Beijing Institute of Technology, Shanxi University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,300

Funder: National Natural Science Foundation of China