کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
752141 895387 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stabilization of an ODE–Schrödinger Cascade
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Stabilization of an ODE–Schrödinger Cascade
چکیده انگلیسی

We consider the problem of stabilization of a linear ODE with input dynamics governed by the linearized Schrödinger equation. The interconnection between the ODE and Schrödinger equation is bi-directional at a single point. We construct an explicit feedback law that compensates the Schrödinger dynamics at the inputs of the ODE and stabilizes the overall system. Our design is based on a two-step backstepping transformation by introducing an intermediate system and an intermediate control. By adopting the Riesz basis approach, the exponential stability of the closed-loop system is built with the pre-designed decay rate and the spectrum-determined growth condition is obtained. A numerical simulation is provided to illustrate the effectiveness of the proposed design.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 62, Issue 6, June 2013, Pages 503–510
نویسندگان
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