کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10398663 890302 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Necessary and sufficient condition for stabilizability of discrete-time linear switched systems: A set-theory approach
ترجمه فارسی عنوان
شرط لازم و کافی برای تثبیت سیستمهای زمانبندی خطی گسسته: یک رویکرد تئوری مجموعه
کلمات کلیدی
سیستم های خطی سوئیچ، نظریه مجموعه، تثبیتپذیری، انعقاد،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی
In this paper, the stabilizability of discrete-time linear switched systems is considered. Several sufficient conditions for stabilizability are proposed in the literature, but no necessary and sufficient. The main contributions are the necessary and sufficient conditions for stabilizability based on the set-theory and the characterization of a universal class of Lyapunov functions. An algorithm for computing the Lyapunov functions and a procedure to design the stabilizing switching control law are provided, based on such conditions. Moreover, a sufficient condition for non-stabilizability for switched system is presented. Several academic examples are given to illustrate the efficiency of the proposed results. In particular, a Lyapunov function is obtained for a system for which the Lyapunov-Metzler condition for stabilizability does not hold.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 50, Issue 1, January 2014, Pages 75-83
نویسندگان
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