کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10398711 890325 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic stability of sampled-data piecewise affine slab systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Asymptotic stability of sampled-data piecewise affine slab systems
چکیده انگلیسی
This paper addresses stability analysis of closed-loop sampled-data piecewise affine (PWA) slab systems. In particular, we study the case in which a PWA plant is in feedback with a discrete-time emulation of a PWA controller. We consider the sampled-data system as a continuous-time system with a variable time delay. The contributions of this work are threefold. First, we present a modified Lyapunov-Krasovskii functional (LKF) for studying PWA systems with time delays that is less conservative when compared to previously suggested alternatives. Second, based on the new LKF, sufficient conditions are provided for asymptotic stability of sampled-data PWA slab systems to the origin. These conditions become Linear Matrix Inequalities (LMIs) in the case of a piecewise linear (PWL) controller. Finally, we present an algorithm for finding a lower bound on the maximum delay that preserves asymptotic stability. Therefore, the output of the algorithm provides an upper bound on the minimum sampling frequency that guarantees asymptotic stability of the sampled data system. The new results are successfully applied to a unicycle example.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 48, Issue 11, November 2012, Pages 2874-2881
نویسندگان
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