Unknown input observer design for a class of coupled wave PDE systems
Abstract
This paper deals with the problem of designing unknown input observers for a class of coupled semilinear wave partial differential equations (PDE) systems. A state observer is designed to estimate the uncertain coupled wave PDE systems. Then the analysis of the asymptotic stability and H∞ performance for the observer design of coupled wave PDE systems is investigated. Some sufficient conditions of asymptotic stability for the observer error system with disturbance attenuation level are derived via matrix inequalities based on the Lyapunov stability theory. Finally, a numerical simulation is presented to demonstrate the effectiveness of the obtained result.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Stability and Control of Uncertain Systems
Adaptive Control of Nonlinear Systems
Publication details
- Journal / source
- International Journal of Control
- Volume
- 99
- Issue
- 6
- Pages
- 1769–1779
- Publication date
- 9 January 2026
- Language
- EN