کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
750338 | 895067 | 2011 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New relations between norms of system transfer functions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It is well-known that the H2H2-norm and H∞H∞-norm of a transfer function can differ arbitrarily since both norms reflect fundamentally different properties. However, if the pole structure of the transfer function is known it is possible to bound the H∞H∞-norm from above by a constant multiple of the H2H2-norm. It is desirable to compute this constant as tightly as possible. In this article we derive a tight bound for the H∞H∞-norm given knowledge of the H2H2-norm and the poles of a transfer function. We compute the bound in closed form for multiple input multiple output transfer functions in continuous and discrete time. Furthermore we derive a general procedure to compute the bound given a weighted L2L2-norm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 60, Issue 3, March 2011, Pages 151–155
Journal: Systems & Control Letters - Volume 60, Issue 3, March 2011, Pages 151–155
نویسندگان
Tzvetan Ivanov, Brian D.O. Anderson, P.-A. Absil, Michel Gevers,