Infinite‐dimensional extended state observer based stabilization for an ODE‐wave cascaded system with control matched disturbance

Abstract

AbstractThis paper focuses on the output feedback exponential stabilization for an ODE‐wave cascaded system with control matched disturbance at one end of the wave equation. We construct an infinite‐dimensional extended state observer to trace the state and estimate the total disturbance simultaneously. An estimated state and estimated total disturbance based output feedback control law is then designed. It is proved that the original system is exponentially stabilized and the whole closed‐loop system is bounded.