Abstract
The purpose of this paper is to achieve an exhaustive and generalized method for the accurate calculation of the linear system settling time. Thus, the classical settling time expressions for the second-order linear systems are reviewed. Then, new expressions are proposed and developed for the step response of the second-order and for higher-order under-damped and over-damped linear systems. The proposed expressions are different from all the existing ones, and they are more accurate. In addition, iterative algorithms that can be easily implemented are proposed in order to achieve accurate calculation of the settling time. The accuracy of the new expressions and the proposed iterative algorithms are illustrated by several numerical simulation examples.
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The author would like to address great thanks to Professor Mekki Ksouri for his encouragements and to all reviewers for their constructive comments.
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Chagra, W. Accurate Calculation of the Settling Time of a Linear System Using New Expressions and Iterative Algorithms. Circuits Syst Signal Process 37, 408–431 (2018). https://doi.org/10.1007/s00034-017-0560-3
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DOI: https://doi.org/10.1007/s00034-017-0560-3