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A new recursive method for the analysis of linear time invariant dynamic systems via double-term triangular functions (DTTF) in state space environment

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Abstract

This paper presents a new recursive method for system analysis via double-term triangular functions (DTTF) in state space environment. The proposed method uses orthogonal triangular function sets and proves to be more accurate as compared to single term Walsh series (STWS) method with respect to mean integral square error (MISE). This has been established theoretically and comparison of error with respect to MISE is presented for clarity. A numerical example is treated to establish the proposed method. Relevant curves for the solutions of states of the dynamic system are also presented with plots of percentage error for DTTF-based analysis.

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Authors and Affiliations

  1. Department of Applied Physics, University of Calcutta, 92 APC Road, Kolkata, 700009, India

    Anish Deb & Gautam Sarkar

  2. Department of Electrical Engineering, MCKV Institute of Engineering, Liluah, Howrah, India

    Suchismita Ghosh

  3. Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata, 700137, India

    Srimanti Roy Choudhury

Authors
  1. Anish Deb
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  2. Suchismita Ghosh
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  3. Srimanti Roy Choudhury
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  4. Gautam Sarkar
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Correspondence to Anish Deb.

Additional information

Anish DEB was born in 1951. He received his B.Tech., M.Tech. and Ph.D. (Tech.) degrees from the Department of Applied Physics, University of Calcutta, in 1974, in 1976, and in 1990, respectively. He started his career as a design engineer in industry in 1978, and joined the Department of Applied Physics, University of Calcutta as Lecturer in 1983. In 1990, he became Reader in the same Department. Since 1998, he has become a professor. His research interest includes automatic control in general and application of ‘alternative’ orthogonal functions in systems and control. He has published about sixty research papers in different national and international journals. He is the principal author of the book ‘Triangular Orthogonal Functions for the Analysis of Continuous Time Systems’ published by Elsevier in 2007, and subsequently published by Anthem Press, U.K., in 2011.

Suchismita GHOSH was born in 1986. She received her B.Tech. degree from Calcutta Institute of Engineering and Management, under West Bengal University of Technology, in 2008, and M.Tech. degree from the Department of Applied Physics, University of Calcutta, in 2010. Since 2010, she has become an assistant professor in the Department of Electrical Engineering, MCKV Institute of Engineering. Her research area includes automatic control in general and application of ‘alternative’ orthogonal functions in systems and control.

Srimanti Roy CHOUDHURY was born in 1984. She received her B.Tech. from Jalpaiguri Government Engineering College, West Bengal University of Technology, in 2006, and M.Tech. from the Department of Applied Physics, University of Calcutta, in 2010. During 2006 to 2007, she worked in the Jalpaiguri Government Engineering College, Department of Electrical Engineering. Since 2010, she has become an assistant professor in the Department of Electrical Engineering, Budge Budge Institute of Technology and also acts as a visiting teacher in the Department of Polymer Science & Technology, University of Calcutta. Her research area includes control theory in general and application of ‘alternative’ orthogonal functions in different areas of systems and control.

Gautam SARKAR was born in 1953. He received his B.Tech., M.Tech. and Ph.D. (Tech) degrees from the Department of Applied Physics, University of Calcutta, in 1975, in 1977, and in 1991, respectively. He started his career as Research Assistant in the Department of Applied Physics, University of Calcutta, and joined the Department as Lecturer in 1985. In 1998, he became Reader in the same Department. Since 2002, he has been in the chair of Labanyamoyee Das Professor. His area of research includes automatic control, fuzzy systems, microprocessor-based control of electric motors and application of piecewise constant basis functions in systems and control. He has published more than thirty-five research papers in different national and international journals. He is the coauthor of the book ‘Triangular Orthogonal Functions for the Analysis of Continuous Time Systems’ published by Elsevier in 2007, and subsequently published by Anthem Press, U.K., in 2011.

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Deb, A., Ghosh, S., Choudhury, S.R. et al. A new recursive method for the analysis of linear time invariant dynamic systems via double-term triangular functions (DTTF) in state space environment. J. Control Theory Appl. 11, 108–115 (2013). https://doi.org/10.1007/s11768-013-0287-z

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  • DOI: https://doi.org/10.1007/s11768-013-0287-z

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