Feedback Control of Parabolic Distributed Parameter Systems

Abstract:

In this paper, the feedback control problem is considered for a class of parabolic distributed parameter systems (DPS). By employing a new Lyapunov-Krasovskii functional as well as the linear matrix inequality (LMI), a novel feedback controller is developed, which can guarantee the closed-loop system states uniformly convergent to zero. The stability conditions for closed-loop systems can be easily checked by utilizing the numerically efficient Matlab LMI toolbox. At last, a numerical example shows the effectiveness of the presented LMI-based methods.

• Periodical: Applied Mechanics and Materials (Volume 455)
• Pages: 337-343
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.455.337
• Online since: November 2013
• Authors: Hai Long Xing*, Wen Shan Cui
• Keywords: Feedback Control, Linear Matrix Inequality (LMI), Parabolic Distributed Parameter Systems

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