A novel order reduction approach for LTI systems using Cuckoo Search and Routh Approximation

Author

Narwal, Amit ; Prasad, Rajendra

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Uttarakhand, Roorkee, India

fYear

2015

Firstpage

564

Lastpage

569

Abstract

A novel order reduction approach for continuous time systems which utilizes recently developed Cuckoo Search Optimization and Routh Approximation (RA) technique is proposed to simplify transfer functions/transfer matrices. The method may be applied to continuous time systems and assures stability of lower order model when the given higher dimension system is stable. The efficient approach is provided for reduction of MIMO and SISO Linear Time Invariant (LTI) systems. To describe the proposed method two numerical examples are solved. The results obtained are judged with other popular order reduction techniques in respect of Integral Square Error (ISE). Finally, the steady state value of reduced system is matched with the given original high dimensional system.

Keywords

MIMO systems; approximation theory; continuous time systems; invariance; linear systems; optimisation; search problems; transfer functions; ISE; LTI systems; MIMO system; SISO linear time invariant system; continuous time systems; cuckoo search optimization; high dimensional system; integral square error; lower order model; order reduction approach; reduced system; routh approximation; steady state value; transfer functions; transfer matrices; Bismuth; Genetic algorithms; Genetics; Lead; MATLAB; Cuckoo search; integral square error; order reduction; routh approximation; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Advance Computing Conference (IACC), 2015 IEEE International

Print_ISBN

978-1-4799-8046-8

Type

conf

DOI

10.1109/IADCC.2015.7154770

Filename

7154770