کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5000043 1460636 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linear-quadratic optimal sampled-data control problems: Convergence result and Riccati theory
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Linear-quadratic optimal sampled-data control problems: Convergence result and Riccati theory
چکیده انگلیسی
We consider linear-quadratic optimal sampled-data control problems, where the state evolves continuously in time according to a linear control system and the control is sampled, i.e., is piecewise constant over a subdivision of the time interval, and the cost is quadratic. As a first result, we prove that, as the sampling periods tend to zero, the optimal sampled-data controls converge pointwise to the optimal permanent control. Then, we extend the classical Riccati theory to the sampled-data control framework, by developing two different approaches: the first one uses a recently established version of the Pontryagin maximum principle for optimal sampled-data control problems, and the second one uses an adequate version of the dynamic programming principle. In turn, we obtain a closed-loop expression for optimal sampled-data controls of linear-quadratic problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 79, May 2017, Pages 273-281
نویسندگان
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