Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure

Shailendra K. Mittal; Dinesh Chandra

Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure

Year 2011, Volume: 3 Issue: 4, 32 - 42, 01.12.2011

Abstract

A multi-objective optimization based graphical procedure to derive a reduced order (rth-order) approximant for given (stable) SISO linear continuous-time system is presented. In this method, stability and the first r time moments/Markov parameters are preserved as well as the errors between last r time moments/Markov parameters of the system and those of the model are minimized. The method is useful as it alleviates the problems of deciding the values of number of error functions to be minimized and values of weights on the errors in arriving at good approximants

Keywords

Model reduction, Padé approximation, Routh criterion, VEGA

Year 2011, Volume: 3 Issue: 4, 32 - 42, 01.12.2011

Shailendra K. Mittal Dinesh Chandra

Abstract

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Details

Other ID	JA65ZU26DS
Journal Section	Articles
Authors	Shailendra K. Mittal This is me Dinesh Chandra This is me
Publication Date	December 1, 2011
Published in Issue	Year 2011 Volume: 3 Issue: 4

Cite

APA	Mittal, S. K., & Chandra, D. (2011). Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure. International Journal of Engineering and Applied Sciences, 3(4), 32-42.
AMA	Mittal SK, Chandra D. Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure. IJEAS. December 2011;3(4):32-42.
Chicago	Mittal, Shailendra K., and Dinesh Chandra. “Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure”. International Journal of Engineering and Applied Sciences 3, no. 4 (December 2011): 32-42.
EndNote	Mittal SK, Chandra D (December 1, 2011) Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure. International Journal of Engineering and Applied Sciences 3 4 32–42.
IEEE	S. K. Mittal and D. Chandra, “Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure”, IJEAS, vol. 3, no. 4, pp. 32–42, 2011.
ISNAD	Mittal, Shailendra K. - Chandra, Dinesh. “Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure”. International Journal of Engineering and Applied Sciences 3/4 (December 2011), 32-42.
JAMA	Mittal SK, Chandra D. Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure. IJEAS. 2011;3:32–42.
MLA	Mittal, Shailendra K. and Dinesh Chandra. “Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure”. International Journal of Engineering and Applied Sciences, vol. 3, no. 4, 2011, pp. 32-42.
Vancouver	Mittal SK, Chandra D. Routh-Padé Approximants of Continuous Time SISO Systems Based on Multi-Objective Optimization by Graphical Procedure. IJEAS. 2011;3(4):32-4.