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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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控制理论与应用（英文版） 2013年第1期11卷 108-115页

作者： 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

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.

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

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Modeling and analysis of singular systems via orthogonal triangular functions

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控制理论与应用（英文版） 2013年第2期11卷 141-148页

作者： suchismita ghosh Anish DEB Srimanti Roy CHOUDHURY Gautam SARKAR Department of Electrical Engineering MCKV Institute of Engineering Department of Applied Physics University of Calcutta92 APC RoadKolkata 700009 India Department of Electrical Engineering Budge Budge Institute of Technology Department of Applied Physics University of Calcutta2 APC RoadKolkata 700009 India

This paper presents a new approach to singular system analysis by modeling the system in terms of orthog- onal triangular functions （TFs）. The proposed method is more accurate compared to block pulse function-based analysis with respect to mean integral square error （MISE）. A numerical example involving four states of a singular system is treated and solutions obtained thereof. Four tables and relevant curves are presented to compare the respective coefficients in block pulse function （BPF） domain as well as in TF domain. The percentage error of the samples determined via TF domain are compared with the exact samples of the states. Furthermore, MISE for both BPF and TF analysis are computed and compared to reveal the efficiency of TF-based analysis.

关键词： Singular systems Triangular functions Block pulse functions System analysis Modeling

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