کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627961 1631816 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New stability and stabilization results for discrete-time switched systems
ترجمه فارسی عنوان
ثبات و ثبات جدید برای سیستم های زمان گسسته
کلمات کلیدی
سیستم های سوئیچ، ثبات نمایشی، میانگین زمان سپری شدن به جلو، متوسط ​​زمان ختم وابسته به حالت وابسته به حالت، کنترل کننده های وابسته به حالت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, the stability and stabilization problems are considered for discrete-time switched systems in both nonlinear and linear contexts. By introducing the concept of forward average dwell time and using multiple-sample Lyapunov-like functions variation, the extended stability results for discrete-time switched systems in the nonlinear setting are first derived. Then, the criteria for stability and stabilization of linear switched systems are obtained via a newly constructed switching strategy, which allows us to obtain exponential stability results. A new kind of mode-dependent controller is designed to realize the stability conditions expressed by the multiple-sample Lyapunov-like functions variation. Based on this controller, the stabilization conditions can be given in terms of linear matrix inequalities (LMIs), which are easy to be checked by using recently developed algorithms in solving LMIs. Finally, a numerical example is provided to show the validity and potential of the results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 238, 1 July 2014, Pages 358–369
نویسندگان
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