کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7109867 1460662 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Backstepping observer design for parabolic PDEs with measurement of weighted spatial averages
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Backstepping observer design for parabolic PDEs with measurement of weighted spatial averages
چکیده انگلیسی
This paper is concerned with the observer design for one-dimensional linear parabolic partial differential equations whose output is a weighted spatial average of the state over the entire spatial domain. We focus on the backstepping approach, which provides a systematic procedure to design an observer gain for systems with boundary measurement. If the output is not a boundary value of the state, the backstepping approach is not directly applicable to obtaining an observer gain that stabilizes the error dynamics. Therefore, we attempt to convert the error system into another system to which backstepping is applicable. The conversion is successfully achieved for a class of weighting functions, and the resultant observer realizes exponential convergence of the estimation error with an arbitrary decay rate in terms of the L2 norm. In addition, an explicit expression of the observer gain is available in a special case. The effectiveness of the proposed observer is also confirmed by numerical simulations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 53, March 2015, Pages 179-187
نویسندگان
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