M.Sc. Tezi Görüntüleme

Student: Selda GÜNEY
Supervisor: Asst. Prof. Dr. Ayten ATASOY
Department: Elektrik-Elektronik Müh.
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: Analysis of Pole Placement Method with Different Algorithms
Level: M.Sc.
Acceptance Date: 10/7/2007
Number of Pages: 126
Registration Number: i1819

      Pole placement methods are used in the design of different control systems. For example; the controlling of helicopters, aircrafts, misilses, generator voltage regulators and mechanical systems.

      Methods which are given for pole placement are divided into two main categories according to feedback. These are state feedback and output feedback methods.

      In this study, pole placement methods was researched in time-invariant, linear, continuous systems and for single input-single output and multi input-multi output systems.

      Ackermann formula which is the most famous methods and mapping approach was examined for single input-single output systems. The different algorithms were tested for multi input-multi output systems. These are algorithms which are found by improving from algorithms given for single input-single output systems, utilizing from eigenvectors, and using solution of Sylvester’s equation.

      Output feedback is the other feedback type. Pole placement methods with output feedback were improved by utilizing from pole placement with state feedback. Generalised matrix inverse approach which is provided transition between two different kind of feedback is built fundamental of algorithms which are used in output feedback in this thesis. Transition to output feedback with this approach was only provided from mapping approach which is one of the state feedback methods.

      In this work, this method was examined for different algorithms and was achieved to efficient results.

In this thesis, advatages and disadvantages were mentioned for algortihms which were used. The performance of the methods were tested on various systems for different poles.


Results illustrates the accuracy and validity of the proposed methods.


Key words :

      Pole Placement (Pole Assignment), State Feedback, Output Feedback, Linear Time Đnvariant Systems