کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
697133 890359 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Minimax state estimation for linear discrete-time differential-algebraic equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Minimax state estimation for linear discrete-time differential-algebraic equations
چکیده انگلیسی

This paper presents a state estimation approach for an uncertain linear equation with a non-invertible operator in Hilbert space. The approach addresses linear equations with uncertain deterministic input and noise in the measurements, which belong to a given convex closed bounded set. A new notion of a minimax observable subspace is introduced. By means of the presented approach, new equations describing the dynamics of a minimax recursive estimator for discrete-time non-causal differential-algebraic equations (DAEs) are presented. For the case of regular DAEs it is proved that the estimator’s equation coincides with the equation describing the seminal Kalman filter. The properties of the estimator are illustrated by a numerical example.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 46, Issue 11, November 2010, Pages 1785–1789
نویسندگان
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