Modeling and analysis of singular systems via orthogonal triangular functions

被引：1

作者：

Ghosh S. ^{[1
]}

Deb A. ^{[2
]}

Choudhury S.R. ^{[3
]}

Sarkar G. ^{[2
]}

机构：

[1] Department of Electrical Engineering, MCKV Institute of Engineering, Liluah, Howrah

[2] Department of Applied Physics, University of Calcutta, Kolkata, 700009

[3] Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata

来源：

Journal of Control Theory and Applications | 2013年 / 11卷 / 02期

关键词：

Block pulse functions; Modeling; Singular systems; System analysis; Triangular functions;

D O I：

10.1007/s11768-013-1077-3

中图分类号：

学科分类号：

摘要：

This paper presents a new approach to singular system analysis by modeling the system in terms of orthogonal 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. © 2013 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：141 / 148

页数：7

共 16 条

[1]

Campbell S.L., Singular Systems of Differential Equations, (1980)

[2]

Dai L., Singular Control Systems, (1989)

[3]

Paraskevopoulos P.N., Analysis of singular systems using orthogonal functions, IEE Proceedings D (Control Theory and Applications), 131, 1, pp. 37-38, (1984)

[4]

Campbell S.L., On using orthogonal functions with singular systems, IEE Proceedings D (Control Theory and Applications), 131, 6, pp. 267-268, (1984)

[5]

Lewis F.L., Mertzios B.G., Analysis of singular systems using orthogonal functions, IEEE Transactions on Automatic Control, 32, 6, pp. 527-530, (1987)

[6]

Mertzios B.G., Lewis F.L., Vachtsevanos G., Analysis of singular systems using orthogonal functions, IEE Proceedings D (Control Theory and Applications), 135, 4, pp. 323-325, (1988)

[7]

Trzaska Z., Computation of the block pulse solution of singular systems, IEE Proceedings D (Control Theory and Applications), 133, 4, pp. 191-192, (1986)

[8]

Jiang J.H., Schaufelberger W., Block Pulse Functions and Their Application In Control System. Lecture Notes in Control and Information Sciences, (1992)

[9]

Palanisamy K.R., Balachandran K., Single-term Walsh series approach to singular systems, International Journal of Control, 46, 6, pp. 1931-1934, (1987)

[10]

Palanisamy K.R., Balachandran K., Analysis of time-varying singular systems via single-term Walsh series approach, IEE Proceedings D (Control Theory and Applications), 135, 6, pp. 461-462, (1988)

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