کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
751916 1462317 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computation of feedback control for time optimal state transfer using Groebner basis
ترجمه فارسی عنوان
محاسبه کنترل بازخورد برای زمان انتقال بهینه حالت با استفاده از گرابنر
کلمات کلیدی
کنترل زمان بهینه، بازخورد، بر اساس گربرن، چرخه محدودیت
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی

Computation of time optimal feedback control law for a controllable linear time invariant system with bounded inputs is considered. Unlike a recent paper by the authors, the target final state is not limited to the origin of state-space, but is allowed to be in the set of constrained controllable states. Switching surfaces are formulated as semi-algebraic sets using Groebner basis based elimination theory. Using these semi-algebraic sets, a nested switching logic is synthesized to generate the time optimal feedback control. However, the optimal control law enforces an unavoidable limit cycle in the time-optimal trajectory for most non-origin target points. The time-period of this limit-cycle is dependent on the target position. This dependence is algebraically characterized and a method to compute the time-period of the limit-cycle is provided. As a natural extension, the set of constrained controllable states is also computed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 79, May 2015, Pages 1–7
نویسندگان
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