A novel order diminution of LTI systems using Big Bang Big Crunch optimization and Routh Approximation

A novel computer aided method is presented that yields Linear Time Invariant Reduced Order System (LTI-ROS). This is accomplished by using the combined benefits of Big Bang Big Crunch (BBBC) optimization and Routh Approximation (RA) method. The applicability of the proposed method for both Single In...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 37; no. 16-17; pp. 8016 - 8028
Main Authors Desai, S.R., Prasad, Rajendra
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2013
Subjects
Approximation
Big Bang Big Crunch
Integral Square Error
Invariants
Linear Time Invariant Reduced Order System
Mathematical analysis
Mathematical models
Optimization
Reduced order
Routh Approximation
Stability
Steady state
Linear Time Invariant Reduced Order System
Routh Approximation
Stability
Big Bang Big Crunch
Integral Square Error
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Summary:A novel computer aided method is presented that yields Linear Time Invariant Reduced Order System (LTI-ROS). This is accomplished by using the combined benefits of Big Bang Big Crunch (BBBC) optimization and Routh Approximation (RA) method. The applicability of the proposed method for both Single Input Single Output (SISO) and Multiple Input Multiple Output (MIMO) Linear Time Invariant (LTI) systems is verified by solving numerical examples. Furthermore, the results show that the realized LTI-ROS retain stability and steady state conditions of original system. The reduced order system also exhibits lower Integral Square Error (ISE) values.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0307-904X
DOI:10.1016/j.apm.2013.02.052