State-PID Feedback for Pole Placement of LTI Systems

State-PID Feedback for Pole Placement of LTI Systems

Pole placement problems are especially important for disturbance rejection and stabilization of dynamical systems and regarded as algebraic inverse eigenvalue problems. In this paper, we propose gain formulae of state feedback through PID-elements to achieve desired pole placement for a delay-free L...

Full description

Bibliographic Details
Main Authors: Sarawut Sujitjorn, Witchupong Wiboonjaroen
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/929430
id doaj-f88f7a0e39bc4daf8dd4b2c92a7d6184
record_format Article
spelling doaj-f88f7a0e39bc4daf8dd4b2c92a7d61842020-11-24T21:54:23ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/929430929430State-PID Feedback for Pole Placement of LTI SystemsSarawut Sujitjorn0Witchupong Wiboonjaroen1School of Electrical Engineering, Institute of Engineering, Suranaree University of Technology, Nakhon Ratchasima 30000, ThailandSchool of Electrical Engineering, Institute of Engineering, Suranaree University of Technology, Nakhon Ratchasima 30000, ThailandPole placement problems are especially important for disturbance rejection and stabilization of dynamical systems and regarded as algebraic inverse eigenvalue problems. In this paper, we propose gain formulae of state feedback through PID-elements to achieve desired pole placement for a delay-free LTI system with single input. Real and complex stable poles can be assigned with the proposed compact gain formulae. Numerical examples show that our proposed gain formulae can be used effectively resulting in very satisfactory responses.http://dx.doi.org/10.1155/2011/929430
collection DOAJ
language English
format Article
sources DOAJ
author Sarawut Sujitjorn
Witchupong Wiboonjaroen
spellingShingle Sarawut Sujitjorn
Witchupong Wiboonjaroen
State-PID Feedback for Pole Placement of LTI Systems
Mathematical Problems in Engineering
author_facet Sarawut Sujitjorn
Witchupong Wiboonjaroen
author_sort Sarawut Sujitjorn
title State-PID Feedback for Pole Placement of LTI Systems
title_short State-PID Feedback for Pole Placement of LTI Systems
title_full State-PID Feedback for Pole Placement of LTI Systems
title_fullStr State-PID Feedback for Pole Placement of LTI Systems
title_full_unstemmed State-PID Feedback for Pole Placement of LTI Systems
title_sort state-pid feedback for pole placement of lti systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description Pole placement problems are especially important for disturbance rejection and stabilization of dynamical systems and regarded as algebraic inverse eigenvalue problems. In this paper, we propose gain formulae of state feedback through PID-elements to achieve desired pole placement for a delay-free LTI system with single input. Real and complex stable poles can be assigned with the proposed compact gain formulae. Numerical examples show that our proposed gain formulae can be used effectively resulting in very satisfactory responses.
url http://dx.doi.org/10.1155/2011/929430
work_keys_str_mv AT sarawutsujitjorn statepidfeedbackforpoleplacementofltisystems
AT witchupongwiboonjaroen statepidfeedbackforpoleplacementofltisystems
_version_ 1725867297878310912

Similar Items