A Novel Order Reduction Method Using Cuckoo Search Algorithm

ABSTRACT

In this paper, a novel method is presented to obtain stable reduced-order model of higher order linear time invariant continuous systems using optimization technique. In order to perform optimization, a new meta-heuristic search algorithm, called Cuckoo Search (CS) is applied which is inspired by the natural behaviour of cuckoo species including the Lévy flight behaviour of some birds and fruit flies. The effectiveness of the proposed method is supported by some numerical examples of single input single output (SISO) systems and the results are compared with other well-known methods available in the literature in terms of most popular performance indices like integral square error, integral absolute error, and integral time absolute error. The method is extended for multi input multi output (MIMO) systems also.

Keywords:

• Cuckoo Search Algorithm
• Integral Square Error
• Optimization
• Order Reduction

ACKNOWLEDGEMENTS

The authors wish to gratefully acknowledge the Department of Electrical Engineering, IIT Roorkee, India. The authors wish to express gratitude to Prof. (Dr.) Kamal Ghanshala, Hon. President, Graphic Era University, Dehradun, India for providing necessary support. Last but not least, the authors would like to sincerely thank the editor and anonymous reviewers for their valuable comments.

Additional information

Notes on contributors

A. Afzal Sikander

Afzal Sikander was born in Roorkee, Uttarakhand, India, in 1984. He received the BTech degree in instrumentation and control engineering from H.N.B Garhwal University, Srinagar, India, in 2006, and MTech degree in instrumentation and control engineering, from Maharishi Dayanand University, Rohtak, Haryana, India, in 2011 and presently he is pursuing PhD from the Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee, India, since 2013. He had worked with the Department of Electrical & Electronics Engineering of Graphic Era University, Dehradun, India, in the capacity of assistant professor. His area of interest includes control system, order reduction, controller design, system engineering, and optimization, etc.

E-mail: [email protected]

B. Rajendra Prasad

Dr Rajendra Prasad was born in Hangawali (Saharanpur), India, in 1953. He received the BSc (Hons.) degree from Meerut University, India, in 1973. He received BE, ME, and PhD degrees in electrical engineering from the University of Roorkee, India, in 1977, 1979, and 1990, respectively. He served as an assistant engineer in M.P.E.B. from 1979 to 1983. From 1983 to 1996, he was a lecturer in the Electrical Engineering Department of the University of Roorkee, Roorkee (India) and from 1996 to 2001, he was an assistant professor. He served as an associate professor from 2001 to 2009. Presently, he is professor w.e.f. 2009 in the Department of Electrical Engineering at the Indian Institute of Technology Roorkee (India). His research interests include control, optimization, system engineering and model order reduction.

E-mail: [email protected]