Work

Estimator-Based Time-Varying Feedback Control for Uncertain, Anti-Stable Heat Equation in a Prescribed Finite Time

Year: 2026

Type: article

Abstract: This paper studies prescribed-time (PT) stabilization for a heat equation with an unstable term at the uncontrolled boundary, subject to external disturbances and internal unknown mode uncertainties at the controlled boundary. A boundary time-varying output feedback control scheme based on disturbance estimation is developed, where the convergence time is independent of the initial condition and can be specified a priori. A disturbance estimator using boundary measurements and a time-varying tuning function enables prescribed-time estimation of both the disturbance and the system state. By integrating active disturbance rejection control with the backstepping technique, a boundary output feedback controller is derived. A simulation example from the burning process of a solid propellant rocket demonstrates the effectiveness of the proposed approach.

Source: Axioms

DOI: 10.3390/axioms15040257

Author: Chengzhou Wei

Institutions: Taizhou University, Taizhou 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: $2,896

Funders: National Natural Science Foundation of China, Natural Science Foundation of Zhejiang Province