کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
688877 | 889577 | 2014 | 8 صفحه PDF | دانلود رایگان |
• Control of distributed parameter system with spatial time-dependent domain.
• Control of the position of the liquid-solid interface in a melting process.
• Geometric control design based on the original partial differential model.
• Demonstration of the closed loop stability by use of a Lyapunov function.
• Evaluation of the performance by numerical simulation.
This paper addresses the geometric control of the position of a liquid–solid interface in a melting process of a material known as Stefan problem. The system model is hybrid, i.e. the dynamical behavior of the liquid-phase temperature is modeled by a heat equation while the motion of the moving boundary is described by an ordinary differential equation. The control is applied at one boundary as a heat flux and the second moving boundary represents the liquid–solid interface whose position is the controlled variable. The control objective is to ensure a desired position of the liquid–solid interface. The control law is designed using the concept of characteristic index, from geometric control theory, directly issued from the hybrid model without any reduction of the partial differential equation. It is shown by use of Lyapunov stability test that the control law yields an exponentially stable closed-loop system. The performance of the developed control law is evaluated through simulation by considering zinc melting.
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Journal: Journal of Process Control - Volume 24, Issue 6, June 2014, Pages 939–946