We consider stabilisation for a linear ordinary differential equation system with input dynamics governed by a heat equation, subject to boundary control matched disturbance. The active disturbance rejection control approach is applied to estimate, in real time, the disturbance with both constant high gain and time-varying high gain. The disturbance is cancelled in the feedback loop. The closed-loop systems with constant high gain and time-varying high gain are shown, respectively, to be practically stable and asymptotically stable.
['Bao-Zhu Guo', 'Jun-Jun Liu', 'A. S. Al-Fhaid', 'Arshad Mahmood M. Younas', 'Asim Asiri']
The active disturbance rejection control approach to stabilisation of coupled heat and ODE system subject to boundary control matched disturbance