A Novel Order Reduction Approach for LTI Systems Using Cuckoo Search Optimization and Stability Equation

ABSTRACT

A new reduction method is given which combines recently developed metahueristic cuckoo search optimization technique and stability equation method for obtaining reduced-order linear time invariant (LTI) system. This paper provides an efficient approach for reduction of both single-input single-output (SISO) and multiple-input multiple-output (MIMO) LTI systems. The lower order system obtained by the proposed technique retains the stability of higher order system and matches in steady-state value to the original model. The results of the proposed method are compared with other popular presented approaches of order reduction in the literature. The reduced systems obtained by the proposed method also have lower integral performance indices values than other order reduction techniques. The method is explained by numerical examples.

KEYWORDS:

• Cuckoo search algorithm
• integral square error
• linear time invariant system
• order reduction
• reduced-order systems
• stability equation

Acknowledgements

The authors are thankful to the editor and anonymous referees for their valuable remarks, which greatly enhanced the clarity and significance of the paper.

Additional information

Notes on contributors

Amit Narwal

Amit Narwal was born in Rohtak (Haryana), India, in 1987. He received his BTech in Electronics and Communication Engineering from YMCA Govt. College, Faridabad, India, in 2010 and MTech in System and Control Engineering from the Department of Electrical Engineering, Indian Institute of Technology Roorkee, India, in 2013. Presently, he is Research Scholar in the Department of Electrical Engineering at the Indian Institute of Technology Roorkee, Uttarakhand, India.

E-mail: [email protected], [email protected]

B. Rajendra Prasad

B. Rajendra Prasad was born in Hangawali (Saharanpur), India, in 1953. He received his 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 has served as Assistant Engineer in Madhya Pradesh Electricity Board (MPEB) from 1979 to 1983. He was a Lecturer in Electrical Engineering Department, University of Roorkee, India, from 1983 to 1996. He worked as Assistant Professor during 1996–2001 and as Associate Professor from 2001 to 2009. Presently, he is a Professor in the Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee, India.

He has published around 200 papers in various Journals/conferences and received 12 awards on his publications in various National/International Journals/Conferences Proceeding papers. He has guided ten Ph.D. scholars, and is presently guiding five more Ph.D. scholars. His research interests include Data Analysis, Robotics and Its Applications, Control, Optimization, System Engineering and Model Order Reduction of Large-Scale Systems.

E-mail: [email protected]