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		Anish DEB,Suchismita GHOSH,Srimanti Roy CHOUDHURY,Gautam SARKAR.[en_title][J].Control Theory and Technology,2013,11(1):108~115.[Copy]

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AnishDEB,SuchismitaGHOSH,SrimantiRoyCHOUDHURY,GautamSARKAR
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(Department of Applied Physics, University of Calcutta;Department of Electrical Engineering, MCKV Institute of Engineering;Department of Electrical Engineering, Budge Budge Institute of Technology)

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Received:November 19, 2010Revised:January 30, 2012

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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

Anish DEB,Suchismita GHOSH,Srimanti Roy CHOUDHURY,Gautam SARKAR

(Department of Applied Physics, University of Calcutta;Department of Electrical Engineering, MCKV Institute of Engineering;Department of Electrical Engineering, Budge Budge Institute of Technology)

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.

Key words: Double term triangular functions Walsh functions, System analysis Single term Walsh series Mean integral square error (MISE)