Controller design for optimal tracking response in discrete-time systems

O. A. Sebakhy*, H. A. Yousef

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء


The problem of designing a controller, which results in a closed-loop system response with optimal time-domain characteristics, is considered. In the approach presented in this paper, the controller order is fixed (higher than pole-placement order) and we seek a controller that results in closed-loop poles at certain desired and pre-specified locations; while at the same time the output tracks the reference input in an optimal way. The optimality is measured by requiring certain norms on the error sequence-between the reference and output signals-to be minimum. Several norms are used. First, l2-norm is used and the optimal solution is computed in one step of calculations. Second, l-norm (i.e. minimal overshot) is considered and the solution is obtained by solving a constrained affine minimax optimization problem. Third, the l1-norm (which corresponds to the integral absolute error-(IAE)-criterion) is used and linear programming techniques are utilized to solve the problem. The important case of finite settling time (i.e. deadbeat response) is studied as a special case. Examples that illustrate the different design algorithms and demonstrate their feasibility are presented.

اللغة الأصليةEnglish
الصفحات (من إلى)381-391
عدد الصفحات11
دوريةOptimal Control Applications and Methods
مستوى الصوت28
رقم الإصدار5
المعرِّفات الرقمية للأشياء
حالة النشرPublished - سبتمبر 2007

ASJC Scopus subject areas

  • ???subjectarea.asjc.2200.2207???
  • ???subjectarea.asjc.1700.1712???
  • ???subjectarea.asjc.2600.2606???
  • ???subjectarea.asjc.2600.2604???


أدرس بدقة موضوعات البحث “Controller design for optimal tracking response in discrete-time systems'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا