Output Feedback Stabilisation for an ODE-heat Cascade Systems Subject to Boundary Control Matched Disturbance

In this paper, we are concerned with the output feedback stabilisation for a cascade ODE-Heat system subject to boundary control matched disturbance. First, we design a avariable structure unknown input type observer by using the output of the system. Then, we transform the system into an equivalent target system by volterra integral transformation. By ADRC approach, we design a disturbance estimator to estimate the disturbance. The output feedback control is designed based on the observer and disturbance estimator. Finally, the existence of solution to the closed-loop system is proved and the stability is concluded.