Abstract
In this paper two new recursive algorithms are presented for computing optimal control law of linear time-invariant singular systems with quadratic performance index by using the elegant properties of block-pulse functions (BPFs) and shifted Legendre polynomials (SLPs). Also a unified approach is given to solve the optimal control problem of singular systems via BPFs or SLPs. Two numerical examples are included to demonstrate the validity of the proposed algorithms and approach.
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Recommended by Editorial Board member Shengyuan Xu under the direction of Editor Young Il Lee.
Bosukonda M. Mohan was born in Tapeswaram, India in 1960. He received the Bachelors degree in Electrical Engineering from Osmania University in 1982, the Masters degree in Electrical Engineering (with Control Systems specialization) from Andhra University in 1985, and the Doctoral degree in Engineering from Indian Institute of Technology, Kharagpur, 1989. From July 1989 to October 1990 he was on the faculty of Electrical and Electronics Engineering Department, Regional Engineering College (now called National Institute of Technology), Tiruchirapalli. Since November 1990 he has been on the faculty of Electrical Engineering Department, Indian Institute of Technology, Kharagpur where he is currently a Professor. He was a Visiting Professor at the Department of Electrical Engineering — Systems, University of Southern California, and Los Angeles, California in 2006. His research interests include Identification, Analysis, and Control of Dynamical Systems using Fuzzy Logic and Orthogonal Functions. He coauthored the research monograph ‘Orthogonal Functions in Systems and Control (World Scientific, Singapore, 1995),’ and several papers in international journals and conferences. He is a member of Asian Control Association, life member of Systems Society of India, senior member of the IEEE, and life fellow of Institution of Engineers (India). He is the Associate Editor of Int. J. Automation & Control (IJAAC), the Editorial Advisory Board member of Auto soft J. Intelligent Automation & Soft Computing, and the Editorial Board member of Int. J. Mathematics and Engineering with Computers (IJMAEC). He is the reviewer for Computing Reviews. He was the Chairman of Control Systems Chapter, IEEE Kharagpur Section. He was the chair of Control, Robotics & Motion Control track, ICIIS 2008.
Sanjeeb Kumar Kar received his B.Tech. in Electrical Engineering from College of Engineering & Technology, OUAT, Bhubaneswar in 1993 and his M. Tech in Control Systems from Indian Institute of Technology, Kharagpur in 2004. He is working as an assistant professor in the Department of Electrical Engineering, Institute of Technical Education & Research, SOA University, Bhubaneswar. At present he is pursuing a Ph.D. degree at Indian Institute of Technology, Kharagpur, India (in study leave).
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Mohan, B.M., Kar, S.K. Optimal control of singular systems via orthogonal functions. Int. J. Control Autom. Syst. 9, 145–150 (2011). https://doi.org/10.1007/s12555-011-0119-1
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DOI: https://doi.org/10.1007/s12555-011-0119-1