Control of parabolic PDE systems with time varying spatial boundary conditions using a novel nonlinear backstepping scheme

Document Type : Research Article


1 Amirkabir University Of Technology

2 amir kabir

3 Electrical Engineering,AmirKabir University, Tehran,Iran


In this paper, an extension of backstepping controller for parabolic PDE systems (Heat Transfer Process) with time-varying spatial boundary is studied. The PDE system dynamics is transformed to an exponentially stable target system via a new nonlinear backstepping transformation. The exponential stability of the closed-loop system is established by using a proper Lyapunov function. Finally, numerical simulation is provided to support the effectiveness of the proposed controller.


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