کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634774 1340699 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized Riccati equations associated with guaranteed cost control: An overview of solutions and features
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Generalized Riccati equations associated with guaranteed cost control: An overview of solutions and features
چکیده انگلیسی

Robust control of dynamic linear systems with parametric uncertainties is based on the solution of generalized Riccati equations i.e. Riccati equations with additional terms depending on the uncertainties. In particular, guaranteed cost controller design requires the existence and computation of positive definite solutions of such equations. In the present paper, an overview of the Riccati equations arising in guaranteed cost control approaches is presented. It is shown that different uncertainty descriptions and the corresponding upper bounding functions lead to various forms of generalized Riccati equations that may admit either analytical or computational positive definite solutions. The associated closed-loop systems’ robustness features are also discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 191, Issue 2, 15 August 2007, Pages 511–520
نویسندگان
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