Design of Control Systems in State Space and Solving Pole-Placement Problem with Four different Methods

Abdelrahim B. Hamid

Abdelrahim B. Hamid Department of Mathematics and Physics, Faculty of Education, University of Gezira, Hantoub, Sudan

Abstract

This paper presenting a design method commonly called the

pole-placement or pole-assignment technique. Assumed that all

state variables are measurable and available for feedback. It will

be shown that if the system considered is completely state

controllable, then poles of the closed-loop system may be placed

at any desired locations by means of state feedback through an

appropriate state feedback gain matrix. The present design

technique begins with a determination of the desired closed-loop

poles based on the transient-response and/or frequency-response

requirements.

The beginning with presenting the basic materials on pole-

placement in regulator systems. Then the main problem solved

with three different methods, followed by MAT LAB solution.

Finally, the criteria of each method and the comparison between

them discussed.

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