کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
695309 1460651 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modal occupation measures and LMI relaxations for nonlinear switched systems control
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Modal occupation measures and LMI relaxations for nonlinear switched systems control
چکیده انگلیسی

This paper presents a linear programming approach for the optimal control of nonlinear switched systems where the control is the switching sequence. This is done by introducing modal occupation measures, which allow to relax the problem as a primal linear programming (LP) problem. Its dual linear program of Hamilton–Jacobi–Bellman inequalities is also characterized. The LPs are then solved numerically with a converging hierarchy of primal–dual moment-sum-of-squares (SOS) linear matrix inequalities (LMI). Because of the special structure of switched systems, we obtain a much more efficient method than could be achieved by applying standard moment/SOS LMI hierarchies for general optimal control problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 64, February 2016, Pages 143–154
نویسندگان
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