کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4999879 1460635 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Leading impulse response identification via the Elastic Net criterion
ترجمه فارسی عنوان
شناسایی پاسخ ایمنی رهبری از طریق معیار شبکه خالص
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی
This paper deals with the problem of finding a low-complexity estimate of the impulse response of a linear time-invariant discrete-time dynamic system from noise-corrupted input-output data. To this purpose, we introduce an identification criterion formed by the average (over the input perturbations) of a standard prediction error cost, plus an ℓ1 regularization term which promotes sparse solutions. While it is well known that such criteria do provide solutions with many zeros, a critical issue in our identification context is where these zeros are located, since sensible low-order models should be zero in the tail of the impulse response. The flavor of the key results in this paper is that, under quite standard assumptions (such as i.i.d. input and noise sequences and system stability), the estimate of the impulse response resulting from the proposed criterion is indeed identically zero from a certain time index nl (named the leading order) onwards, with arbitrarily high probability, for a sufficiently large data cardinality N. Numerical experiments are reported that support the theoretical results, and comparisons are made with some other state-of-the-art methodologies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 80, June 2017, Pages 75-87
نویسندگان
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