کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4975424 1365573 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lyapunov-based design of locally collocated controllers for semi-linear parabolic PDE systems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Lyapunov-based design of locally collocated controllers for semi-linear parabolic PDE systems
چکیده انگلیسی

The design problem of collocated feedback controllers is addressed in this paper for a class of semi-linear distributed parameter systems described by parabolic partial differential equation (PDE), where a finite number of local actuators and sensors are intermittently distributed in space. A Lyapunov direct method for the exponential stability analysis of the resulting closed-loop system is first presented for the system, in which the first mean value theorem for integration and the Wirtinger's inequality are employed. The corresponding stabilization condition is then derived through the analysis result. Finally, the proposed design method is implemented on the feedback control of a fisher equation and its effectiveness is evaluated through simulation results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 351, Issue 1, January 2014, Pages 429-441
نویسندگان
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