Order Reduction Techniques via Routh Approximation: A Critical Survey

ABSTRACT

Routh Approximation is believed to witness tremendous usage in deriving the reduced models from their higher equivalents. Order reduction is a critical field of interest for researchers or control engineers dealing with practical and physical systems of higher order. Reason for the popularity of Routh Approximation among other reduction methodologies is its strength of computational simplicity, ease of access and the promise to retain the model stability. This paper accomplishes a survey of the available Routh Approximation algorithms in their varied configuration since five decades. Last survey report based on Routh Approximation was cited in late seventies as discussed in the paper. One prime reason for the outcome of this paper is the problem met by the authors during their own work for analysing varied configuration of Routh Approximation for order reduction. Many times, the arrangement, stated or performed, seemed to be already in existence. Thus, the paper would be helpful to the researchers working in the area of order reduction and have prime focus on the utility of Routh Approximation.

KEYWORDS:

• Continuous-time domain and discrete-time domain
• Interval or uncertain systems
• Model reduction
• Non-interval systems
• Routh Approximation

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Amit Kumar Choudhary

Amit Kumar Choudhary is pursuing PhD in control systems with the Department of Electrical Engineering at Indian Institute of Technology (Banaras Hindu University) Varanasi, UP, India. He received his Masters in control system from National Institute of Technology, Kurukshetra. His fields of interest are control systems, network, and model order reduction. He is student member of IEEE, IET, SIAM, and ACDOS (an NMO of IFAC).

Shyam Krishna Nagar

Shyam Krishna Nagar was born in Varanasi, India, on 10 May 1955. He studied at Institute of Technology (IT) BHU and received the BTech and MTech degrees in electrical engineering in 1976 and 1978, respectively. He completed PhD degree in electrical engineering from University of Roorkee, Roorkee, India. He joined IT, BHU in 1980 as a lecturer with the Department of Electrical Engineering and as professor in 2001 to till date. He was National Advisory Committee member for the National System Conference in 2008 (NSC-2008) and Technical Program Committee member for the Student's Conference on Engineering and Systems (SCES-2014). He received Best Paper award at National System Conference (NSC-2011). He is life member of System Society of India and Fellow of Institute of Engineers.

His field of interest is model reduction, digital control and discrete event systems. He has supervised few PhD theses in the area of model reduction and controller design. He has published numerous papers in regular peer reviewed journals and National and International Conferences.

E-mail: [email protected]