Abstract
In this paper, a novel approach is proposed for the reduced order modelling of linear time invariant (LTI) systems. The proposed approach is a combination of modified Big bang big crunch (BBBC) optimization algorithm and Pade approximation technique. The beauty of the proposed approach is that the selection of solution space for BBBC algorithm is not entirely random, but structured via the use of Pade approximation approach. Hence, two principal criticisms of soft computing algorithms, i.e., random choice of solution space and larger simulation time are averted in the proposed technique. The proposed technique is substantiated via four different numerical examples from literature and compared with existing model order reduction (MOR) techniques. The concept of controller design is introduced via application of fractional order internal model control technique for load frequency control of power systems. Further, BBBC algorithm is employed to tune a boiler loop in power station. The results convey the efficiency and powerfulness of the proposed technique.
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Shivam Jain received his B.E. degree in electronics and instrumentation engineering from Birla Institute of Technology and Science, Pilani, Rajasthan, India in 2016 and his M.Tech degree in Electrical Engineering from Indian Institute of Technology Roorkee, Uttarakhand, India. Currently, he is pursuing a Ph.D. in Electrical Engineering from Indian Institute of Technology Roorkee, Uttarakhand, India. His research interests include model order reduction, robust controller design and their applications to various engineering systems.
Yogesh V. Hote is an Associate Professor Electrical Engineering Department, Indian Institute of Technology Roorkee, India. Dr. Hote has more than 19 years of teaching and research experience. He has published more than 125 articles in reputed journals and conferences. He has also developed web course on “Advanced Linear Continuous Control Systems: Applications with MATLAB Programming and Simulink”. His main fields of expertise include stability studies, robust controller design, model order reduction techniques, and their applications in load frequency control, dc-dc converters, inverted pendulum, and servo systems.
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Jain, S., Hote, Y.V. Order Diminution of LTI Systems Using Modified Big Bang Big Crunch Algorithm and Pade Approximation with Fractional Order Controller Design. Int. J. Control Autom. Syst. 19, 2105–2121 (2021). https://doi.org/10.1007/s12555-019-0190-6
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DOI: https://doi.org/10.1007/s12555-019-0190-6