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

  • 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.


 


 


 

References

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Systems, A thesis of PhD in Applied Mathematics, Sudan
University of Science and Technology.

Macki, Jack and Strauss, Aarson (1995), Introduction to
Optimal Control Theory, Springer-Verlag.
Ogata, Katsuhiko (2002), Modern Control Engineering, Pearson
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Published
2013-11-07
How to Cite
B. HAMID, Abdelrahim. Design of Control Systems in State Space and Solving Pole-Placement Problem with Four different Methods. Gezira Journal of Engineering and Applied Sciences, [S.l.], v. 8, n. 2, p. 85 - 108, nov. 2013. ISSN 1858-5698. Available at: <http://journals.uofg.edu.sd/index.php/gjeas/article/view/2140>. Date accessed: 27 oct. 2021.
Section
Articles