Adaptive Boundary Stabilization of the Heat PDE with an Intermediate Point Non-local Term

سال انتشار: 1400
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 279

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شناسه ملی سند علمی:

ELCM05_047

تاریخ نمایه سازی: 2 خرداد 1401

چکیده مقاله:

This paper develops an adaptive state-feedback control design scheme for boundary stabilization of theheat partial differential equation (PDE) containing a destabilizing non-local term with unknown coefficientat its interior point. To this end, the underlying non-adaptive backstepping-forwarding transformation andthe control law are modified by replacing the unknown parameter by its adaptive estimate and the Lyapunovbased update law is developed for the adaptive stabilization. The closed-loop stability and the regulation ofthe plant state are shown and the effectiveness of the proposed controller is verified through a numericalsimulation example.

نویسندگان

Mohammadali Ghadiri-Modarres

Department of Electrical Engineering, Arak University of Technology, Arak, Iran

Elham Aarabi

Dept. of Electr. and Comp. Eng., Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran

Mohsen Mojiri

Dept. of Electr. and Comp. Eng., Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran