کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6954053 1451825 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Receptance-based stability criterion for second-order linear systems with time-varying delay
ترجمه فارسی عنوان
معیار پایداری بر پایه ی دریافت برای سیستم های خطی مرتبه دوم با تاخیر متغیر زمان
کلمات کلیدی
سیستم های دوم مرتبه ثبات، تاخیر زمان متغیر اختصاص دادن قطب، کنترل از بین بردن، دریافت
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
چکیده انگلیسی
This paper presents a simple receptance-based criterion to analyze the robust stability of second-order systems with time-varying delay. The proposed approach is based on the closed-loop receptance which is directly related to the open-loop one by using the Sherman-Morrison equation. In this kind of problem, stability analysis cannot be performed from the closed-loop eigenvalues due to the time-variant nature of the system. In this context, a new robust stability condition is proposed by using the Small-Gain Theorem for second-order systems with either single or multiple inputs. The main contribution can be interpreted as a receptance-based generalization of the Single-Input Single-Output (SISO) first order Small-Gain Theorem condition. Moreover, the proposed stability criterion is combined with a detuning strategy to deal with the trade-off between performance and robustness with respect to delay variation. No limitation is imposed to the time-varying delay derivative which is a general result. Moreover, the proposed approach can also be used to analyze delay uncertainty due to the implementation simplicity since closed-loop poles are not computed in this criterion. Numerical examples are given to illustrate the effectiveness of the proposed approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanical Systems and Signal Processing - Volume 110, 15 September 2018, Pages 428-441
نویسندگان
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