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
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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
Journal: Mechanical Systems and Signal Processing - Volume 110, 15 September 2018, Pages 428-441
نویسندگان
Tito L.M. Santos, José Mário Araújo, Taniel S. Franklin,