کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1713759 1013248 2011 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical method for hybrid optimal control based on dynamic programming
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A numerical method for hybrid optimal control based on dynamic programming
چکیده انگلیسی

This contribution extends a numerical method for solving optimal control problems by dynamic programming to a class of hybrid dynamic systems with autonomous as well as controlled switching. The value function of the hybrid control system is calculated based on a full discretization of the state and input spaces. A bound for the error due to discretization is obtained from modeling the error as perturbation of the continuous dynamics and the cost terms. It is shown that the bound approaches zero and that the value function of the discretized variant converges to the value function of the original problem if the discretization parameters go to zero. The performance of a numerical scheme exploiting the discretized system is illustrated for two different examples treated previously in literature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 5, Issue 2, May 2011, Pages 254–274
نویسندگان
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