Stability analysis and numerical simulations of a one dimensional open channel hydraulic system

Boumediène Chentouf*, Nejib Smaoui

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

4 اقتباسات (Scopus)

ملخص

This paper is dedicated to the qualitative analysis as well as numerical simulations of a one dimensional open channel hydraulics system which is commonly used in hydraulic engineering to model the unsteady flow dynamics in a river. First, an output feedback control is proposed. Next, the closed-loop system is proved to possess a unique solution in a functional space. Furthermore, the spectrum and resolvent sets of the system operator are characterized. Then, stability results are stated and proved according to a smallness assumption on the feedback gain. The proof invokes Lyapunov direct method. Last but not least, we adopt the Chebychev collocation method, that uses backward Euler method and the Gauss-Lobatto points, to provide numerical simulations in order to ascertain the correctness of the theoretical outcomes.

اللغة الأصليةEnglish
الصفحات (من إلى)498-511
عدد الصفحات14
دوريةApplied Mathematics and Computation
مستوى الصوت321
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مارس 15 2018
منشور خارجيًانعم

ASJC Scopus subject areas

  • ???subjectarea.asjc.2600.2605???
  • ???subjectarea.asjc.2600.2604???

بصمة

أدرس بدقة موضوعات البحث “Stability analysis and numerical simulations of a one dimensional open channel hydraulic system'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا