معايير للتحكم والوصول في النظم الخطية المتقطعة

Authors

  • محمود عثمان

Abstract

في هذا البحث تم عرض بعض التعاريف والنظريات المشهورة في خواص قابلية التحكم والوصول للأنظمة الخطية المتقطعة ذات المعاملات الثابتة والتي تكتب على النحو التالي:

X(t+1)=AX (t)+Bu(t+1)

12XT">    X(T)=                                                      X(0)=Xo

1 12≤"> |u(t)|

وتم التوصل إلى ما يلي:

1- تحويل نظام التحكم إلى مسائل البرمجة الخطية.

2- إيجاد سلسلة من النتائج الجديدة في خواص قابلية التحكم والوصول لبعض الأنظمة الخطية المتقطعة.

3-وضع خوارزمية جديدة لإيجاد أقل عدد من الخطوات والتي نتمكن بها من نقل النظام من الحالة الابتدائية إلى الحالة النهائية ثم استنتاج متجهة التحكم.

4-وضع مثال يوضح صحة الخوارزمية السابقة.

In this research many definitions and theories have been manifested regarding the specifications of controllability and accessibility in optimal control for discrete system of the type:

X(t+1)=AX(t)+Bu(t+1)

X(0)=Xo ,

|u(t)| 1

The following results have been reached  :

1 - Transforming    control system to the problem of linear programming.

2- Finding a series of new results of controllability and accessibility for optimal control discrete system.

3- Putting out a new algorithm to find the minimum number of steps that can enable us to move the state system from the primary stage into the final one.

4- Giving an example which shows the truthfulness of the  previous  algorithm  .

 

Downloads

Published

2018-12-05

How to Cite

1.
عثمان م. معايير للتحكم والوصول في النظم الخطية المتقطعة. TUJ-BA [Internet]. 2018Dec.5 [cited 2025Apr.22];31(1). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5097

Issue

Vol. 31 No. 1 (2009): العلوم الأساسية

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.